20
Bridge Computer Manual - September 1994 • Cha pt er 5- Reinf orced Concrete Section 5-4- Concrete Design Program (CONC) Contents Introduction ...................... - ........................ .. ,_.••. ... . .•••.. . ... ,_,,, ••. •- .•.•. . ..•.••. •..•.. ..• . •. . ..•. ..•.• 54.1 Ge ne ra l Description····-· ·· ·· · ·· · ·· · ········-······· · ········ · ········· · ········· · ·· ··········· · ···· · ······· ·· ··· ··· ····S-4. 4 I nput Panel I nst ru ctions ...................... .... .. . .. . ....... : ..... . ........ ................ ..... . .... ..................... 5 --4.4 General Data Panel ............ ..... ..... ... .. . ... :..... .. . ... ......... ................. .. ................... .. . ... .. .. .. ............ S-4.4 Structure Data Panel ..... ... .... ................... ... .... ... ... ...... ... ...... ..... ........................ . .. ... . ...... . .. .... s-4. 6 Data Panel ... . ...... ..... .. ..... ..... .. . ... -·· ····· ·· ······ ·-············· ·· · ···· ············ ·· ··· ·· ···· ················ ··5-4.7 Servke Load Panei ..... .................... ......... .. ......... - .... ... ........... ........ .. .... ..... ... ............ .5-U Example Problem 1 .. . ..... ................ .. .. . ... ... ............. .... .. ...... .. . . . . ..... .... ...... .. .... .. ...... .. .. ..... .. S-4.10 n Box Girder Design ····· ·· ····· ·· ······ ·· ········· ··· ···· ·········· ·· ·· ... ······ ·· ·· ····· ·· ···· ·· ···· ······· ····· ···· ···· ···5-4.10 Computer Output- Design. .. ..... ...... .... .. .. ... .. ..... ... .... .............. .... ...... . ..... ........... ...... ....... s-4. 11 Example P· roblem 2 ................ ... ........... .. . ............... .... ..... .. . .. . ...... ... ........ .... ........ .... ... .... .. .. Bent Cap Oesign. ...... .... ... ,. .......... ... .. .. ... .. .. .. .......... .......... ..... . ... .. .... .. ..... . .. . .................. .. .... s-4.17 Computer Output- Oesign .......... .. ... .. .. . ... . ... . .... - .... . .. ..... .... ..... . ... .. ...... ......... .... ............5-4.18 Input Data Format {Xedit) ............ .....• .......... •. ..................... ................... .. . ..•...... ... .•5·4. 24 Gene.ral Da ta .. .... .. ..... . .. .... ......... . ... . .. ... .... .. .... . .... . .. ... ..... .... . .... ........ .... .. ..... . ... . .... ........ . ....... 5 -4. 24 Structure Data .... .. ..... .... ........... .. ...... ................ .. ... .. .. .. ..... ..... ... ...... .... .......... .... .... ....... .... .. . 5-4. .24 Contents

Chapter 5-Reinforced Concrete - Caltrans · Box Girder Design ... equilibrium of internal stresses and compatibility of strains. ... mode, the designorenleJo thenumb

  • Upload
    lynga

  • View
    215

  • Download
    0

Embed Size (px)

Citation preview

Page 1: Chapter 5-Reinforced Concrete - Caltrans · Box Girder Design ... equilibrium of internal stresses and compatibility of strains. ... mode, the designorenleJo thenumb

Bridge Computer Manual - September 1994 bull

Chapter 5-Reinforced Concrete

Section 5-4- Concrete Design Program (CONC)

Contents

Introduction - _bullbullbullbullbull_bullbullbull- bullbullbullbullbullbullbullbullbullbullbullbull 541

General Descriptionmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotS-44

Input Panel Instructions 5--44

General Data Panel S-44

Structure Data Panel s-46

~barData Panel -middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot5-47 Servke Load ~ta Panei - 5-U

Example Problem 1 ~ S-410n

Box Girder Design middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotvmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot5-410 Computer Output- Designs-411

Example Pmiddotroblem 2 5~417

Bent Cap Oesigns-417

Computer Output - Oesign - bull5-418

Input Data Format Xedit) bullbullbull bull5middot424

General Data 5-424

Structure Data 5-424

Contents

Bridge Computer Manual-September 1994 bull

Input Data Format (Xedit)- conlinued

Sttl(ture Data middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot---middotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddot-middotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddot-middotmiddotmiddot- middotmiddotmiddotmiddot--middotmiddot---- middotmiddotmiddotmiddotmiddotmiddot-_middotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot5-424 Rebar Data - $-425

Prestress Data 5-425

Lolld Data S-425

FJexure Design Theory middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot---middotmiddot5426

ScrvClability Requirements s-26

Strength Design s-27

Deflnftions-- bull- - _____- - _5--428

bull

Prig 5-4i ConJtnts

Bridge Computer Manual - September 1994 bull

Concrete Design Program Instructions for Users

Introduction

This p rogram is available as CONC on the Bridge Menu This program will deilgn or check reinforced conoete (RC) or Fully Prestressed Concrete (FP) or Partially Prestresed Concrete (PP) sections using the Bridge Design Sped6cations of the California Deportment ofTransportation hereafter referred to as the Code The cross section may have a rectangular or flanged shape Up to eight layersof reinforcingst~l lMY be inputand willbe ineither tension orcompresslondepending on the applied loads The bars may be input as single bars or bundled two vertically or two horizontaUy The program determines the area of tension steel required to resist applied dead load and live load moments

The program uses the STREIGTH DESIGN METHOD (Load Factor Design) based on the assumptions given in article816 of thecodeand on the satisfaction of theapplkableconditionsof equilibrium of internal stresses and compatibility of strains At the factored level the program considers the standard HS-20 (H-FAC) and CAL TRANS Permit (PmiddotFAC truck loadings as deshyscribed in article 322 of the code

The program has an option to consider loads at the service level to satisfy the serviceability requirements (Code 8168) for fatigue (FmiddotSER) and crack control (CmiddotSER) For investigation of stresse~atthe service level the straight-line theory of stress and strain isused with theassumptions as outlined in article 8153 of the Code

Input parameters include gereral control data material properties structure dimensions rebar lltlyoutand load data The program usespanelinput (4 panels) anlt where p ractical parametersare defaulted to commonly USltgtd values The program also hasanXEDIT m ode which allows the user to by-pass the panels and directly edit the input data file

The program calculates the area ofsteel required lor fatigue crack control factored moment (Mu) 12 timesthecracking moinent75 times the balancedsteelrotioand prints the controlling lo1d type To facilitate bar cutoff calculations the program prints tile moment capacity (design moment s-trength) based on 100 80 60 40 20 and 0 of the area of main steel required for the controlling load type

Atable offinal resultscontaining the area ofsteel required for different barsizes isalso printed TI~e table indicc1tes lhe controlling load type maximum servke stress allowable service stre-ss fatigue stress ratlge allowable fatigue stresq range effective depth area oJ steel and tebat spacing The program checks the ba r spacing based on the code (8211) and CAL TRANS preferred bar spacing

Concro~ Desjgfl Prcgram Page 5middot4 1

---

bullbullbullbullbullbullbullbull Bridge Computer Manual -September 1994 bull

Input Panels

TTipound

IRC unrroatD cowr~ fPP) lAATtltl Y RESlUSSEC

IPI Fl1ttY pound-~SlRSSto

tYPpound omiddot s-Rubulln

tCil~

COt$gt~ PATlGVpound1 Ccent1lSIgtD ttRVCpound - cucK ~middotnCL

~tIKAT ~ COKPUSSIl SWSS W1MAl ~ COtlPZSSI4 SlVrl

fPCJ(traquol

YOUbullCS WIXIWS 10~ S1Ul tt3AAS lUl i ItJgt ~poundS$ roR Stt RfaAAS tfSl

ULTIMitt trIUS Oft iUS~SS snt CZ70l$0) ltFP) LOW- lX USTU~U sn=t iJ$lOgt pound1llcent)eurotAJ PACtOit FUR owC QONIIOL

fiiUIm nATo

TOTV Dinfl

TOP Pt-l~E ITFampCIVt WDr-1 (laquoJJQgt) 10f PLV~rpound poundffIX1lIS 074 iTCI) TOP Pt-QI TRICIQlts$

WIDTK centP ttS

~4 LAoroZ ffpoundCrr-n WDH llCnltA4 nrm poundFfttTrrt rtcH IOIC~ ttllOE 7Kl01ESS

NOTpoundS

UICPPIFP)

Cflt CHtceS)

( pound$(~)

(~amp$HCIJ

( tt

bull bull bullbull

(COKP) ( Tal)

bull

c

bull

bull =

bullbull = bull

bull a

--------

- - shy vnbull KSi lltSt

-- shy

PIt

n middot lT

1 FM IC1AraquoGIUA $HAJgtO 3raquo~ ~ roTA OtfTt () lgtltmi CP 1lt8 Ott Y 2 fOR Epound$ ~ 701-1 ltM-i bullumt OF ~tS lJQ Of 0~ JOMM rL-centt

OttA cmY l F~~ tlA~to ltAt~ THE msl~ ~m 14tlIF gteJAutTS TO vS Q01Pftamp$$0t

JLJt-(l WlDTH

Ptlgc 5-42 Concrete Ocsigrt P10gram

-- - - - - ----- - - - - ---- - -- - -- - -- - -- - -- - - -- --- - - - - --- --- - - - - --- --- -- - - -

- - -

Bridge Computer Manual - September 1994 bull

ST~L DtT IE3Jl WlJ COVA 80hgtL QC UiEfl ~AA$ zt tnJ PAn~ AIGE

--

TOTM AAamp OF PRESITRt3S SrL bull =~ Jl

DSWCpound fJt~ SOH OtStciotf TO C C or PRESTUSS SJL (DS) bull m

i nmtt pi1tR)J 1 bull l

1 l AM VD1llt)l bAAS V~ZOUtU 2

$iiVlQ LOAD OAT~ (U-M)

LOW ll(pound

HAT ~ s ECOf-)Arr OfI) tOoP HmiddotLOAD HmiddotLOgtgt P-tOAb ~~

~r xi~ --

-~ iEVJCTlOtl fMTOJI ( PHI)

REStPSS foMa ~ AU vss~s middot-- KiiSrw~ I FF) bull

NO)i$ bull lEIOATivt t-gt YMQl7 C)OSe$ mtSlO~ AT Oi C1 SIXI~l

2 P)STlVT tbull l MOOm CAIJSFS ~~C~ 1 80IQi OY $poundCTJC~l l OtNMUY Y~ IS tiS~ Of FAIl((B AWLYSIS

Concrete Design Program PagoS-43

bull bull bull bull bull bull bull bull

bullbullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

General Description

r Etred ive width Tension - compcessfon Top ether bars

~L__--====+-- bull Top mmnbars

1--- Woll ~1lt11h

Bonom main bars

bull ~I bull bull bull bull bull bull bull bull o

~I I Boa1om Other 8 Tension- compre$$ion bars

Effeelive width

Input Panel Instructions

GenersJ Oats Panel

Title

Enter a maximum of 40 alphanumeric charac-tersto identify your problem

Type Of Structure

Reinforced Coocrete (RC)

Strenglh design method and serviceability criteri1as outlined in the code

Fully Prestressed (FP)

Cwrent Cal trans design specifications require zero tension in the concrete under full

dead load but allow some tension (6 x ff)Mdcr fuU service load The section is still considered uncrackcd and is designed using gross sect-ion p roperties and traditional equations of mechanks

Pagb 5middot44 Conetete Oampsign Progr~m

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

Partially Prestressed (PP)

The rend in current design pradice is to panally prewess structures by combining (uUy stressed tendons with mHd steeJ reinforcement allow 4 x [f tension in the ooncrete Ulldcr full dead load and allow the section to crack Ullder full serva load and sotisfy ultiJNte strength and sotvleeability oiteria Partially pmtrHsed membltrs are dKigned using the same crack width and mild steel fatigue limitations as reinforced concrete Maximum semeestress in the prestress steel alter osseo is limited to 80 of yield stross For low lax and normal 7-strnnd prestressing strand the yield stress is equal to 90 and 83 of the ultimate stress spectivcly

The allowable range between maximum and minimum tensile stress in the prestress steel caused by livc lood plus impact at semee load after losses shall not exceed 22 ksl

For mo detailed Wormation on the dKipgt of partial pncstressed structwu see bull A OSign Procedure for Partial Prestressing of Concrote Box-Gilder Bridges by Steve McBride (SASA- 227middot8268)

Type Of Anatyels

Enter the typeofanai)Sis DESIGNor CHECK The default is DESIGNInboth the DESIGNand OIECKmode the program computes the numbltrofMAII temionb1rs requlndln CHECK mode the designorenleJo thenumbltr of MAIN tension bats theprogrun makes aoomparison to the number of MAIN leNion~computedatld prints an appllcablt OK or NG

The program prints a table of finalsults containing a stress analysis lor cracllt control and fatigue requirements In the DESIGN mode the otress analysis is based on the area ofsteel required for different bat slus In Ow CHECK mode the stress -ItSis Is based on the area of steel and bar size input

Consider Fatigue (Code 81683) (YesNo)

EnterYEStoCOISider CaUgue or NO to neglectitTheprogrun will calculate thestmsraJge between maximum tensionstressand minjmum stressin thesmiddotteel barsclosest to lhrexrreme tension fibltr caused by live load plus impact at the servlt level Ar area of steelmiddotis determined sotlult thestreM range isequal to theallowabl tress rangeThe default isYES

Note that fatigue is chedtdat point of load application Tiw d~igncr is ~ponsibk for Jssuring fatigue compllltrtce at other S-frCtions tlvou_ghout the span GerleraUy this is at locations where bars a re terminated (cui off)

Consider Crack Control (Code 81684) (YesNo)

Enter YES to consJder crock control or NO to neg~t it At setvice level an atea or steel is determined so that theapplied tess cqu1l the aUowabestrru The aDowlblestress~ds on the rumhcr size and spildng o the baro the eovltr from the extreme ~ion fibor of tho concrete tO the celte-r of the bar located dOeSt to the cxtrem~ ttiSion fiber the area ofconcrete in tensionhanr the same centroid as tho barbeingcon-idered (ortheCG nfbull group olbm) and the accepfJible cracllt htdth (environmental Z foetor~ Toe default is YES

CotlcretB DJJMign ProgrJm bullobull smiddotbulls

bullbullbullbullbullbullbullbull Bridge Compute r Manual - September 1994 bull

Ultimate Concrete Compressive Stress

Enter the ultimate concrete compressive S1Tength (ksi) The default is value 325 ksi

Ultimate Concrete Compressive Strain

Enter the ultimate concrete compressive strain (in in) The default value is 003 inin

Youngs Modulus for Steel Rebars

Enter Youngs modulus for the steel rebars (lltlti) The defult value is 29000 ksi

Yield Stress of Steel Re bar

Enter the yield stress (tltSi) of the steel rebar The default is 60 ksi

Ultimate Stress for Prestress Steel

Enter the ultimate stress for prestress steel The default is 270 ksi

Low Lax Prestress Steel

Enteryesor no The yield stress (11 ) for low middotlax strmd iscalculated as 90 times theultimate stress (I) Fornormal strnndtheieldstress(17) iscalcuJated as 85t imes theultimatestress (f)

Environmental Factor (Code 81684) (Z)

Entertheenvironmental factOr Z (kin) This is the Z factor used in the craclc controlchedlt The default is 170 kin

Structure Data Panel

Total Depth

Enter the total member depth (fl)

Top Flange EHective Width (Comp)

Enter the effective width of the Jlange when the top goes into compression (Code 810)

Top Flange Effective Width (Ten)

Entltr the eflective width of the flange when the top goes into tension (Code 8172)

Top Flange Thickness

Enter thickness of top lange (in)

P~gc 5middot46 Concrcttt Doslgn Pmgram

bullbullbullbullbullbullbull Bridgo Computer Manual - September 1994 bull

t1llt1rrnl

Width of Web

Enter width of web (ft )

Bottom Flenge EHecllve Width (Comp)

Enter the effective width of the flange when bollom goe$ into compsslon (Code 810)

Bottom Flange EHeclive Width (Ten)

Enter the effective width of the flange when the bottom goes Into lension (Code 82)

Bottom Flange Thickness

Enter the thiclness ofboll om flange (in)

Notes

Since themiiXilnum and minimum appUed moments for the fatiguecheck may be oppDltSite In$lgn the effective compression and tltNon flange width for both the top and the bottom of the section is nquired

By providing theeffective COD1pn1SSionand tension lAnge width for both thetop and bottom of the section the user can design the section for positive moment on one IW then deJign the ltdionfor negatnmiddote rnament on the lIXt run without having to lthange the stnocture data

For rectnngular beams enter the total d epth and width ofweb only

For T-beams enter total depth width of web and top or bortom Iango data only

For flanged beams the tension flange width defaults to the complte$sion flange width

ReiJar Data Panel

Rebar Location

EnlulOGltionofthe regtarTOPorBOT TOPindgtes thatthetebllrawer lsmeasutltd fromthe top of thesection BOTindicates that the rcbnrcovvismeasured from thebottom of the section

Rebar Layer

Enr the type of rebar layer MAll01 oniER The designer must enter at least one MAIN tcnsionrebar layer MAIN tndlcates the rcbor layelt that is to be diJllgted orchecllted Onlyone MAIN rebv layer is allowed at the top and bottom of the section If the applied moments aro positibullY the of $1tcl for the bottom MAll rebar la)er w11 be determined U the appUed momLlt are negative the area of steel for the top MAIN rebar Ioyer will be detcnnined

OTHER rebar Uybullrs considered in thi design but their bullrea of steel is held COI$tl~l These btmiddotus may be in eitier comprC$Slon or tenston depe-nding on their lOCAtion and the applied mornent Up to 6 OTHER rebar layers are allowed

~~bull~nP~mm ----------------------------------- shy

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

t1rlfrans

Total Bars

Enter total number of bars in the layer Since the program computes the riwnber of MAIN tension rebars required the numberofrebars in theMAIN tension layer should beleftblank inDESIGNmodelfthe number of MAIN bars is entered and they go into compression they will be considered as compression steel middot

In the CHECK mode the designer must enter the number of rebars _in the MAINtension layer Always enter the total number of bars in OTHER layers

Bar Size

Enter the Bar sjze

Cover

Enter the distance from the TOP or BOT of the section to the outsid~ of the rebar (in)

Bundle Pattern

Enter a 1 for single bars Enter 2V for two bars bundled in a vertical pattern Enter 2H for two bars bundled in a horizontal pattern

Skew Angle

MAINbarsmaynotbeskewed Only OTHER bars (transverse deck reinforcement) are allowed to be skewed The programcomputes aneffective steel area bymultiplying the actual area of the barsbythe cosine of the skew angle Note byprovidingboththeTOPand BOT MAIN steel the user can design the section for positive moment on one run then design the section for negative moment on the next run without having to change the rebar data

Total Area Of Prestressing Steel

Enter the area of prestressing steel (sq in)

Distance From Bottom Of Section To CG Of Prestress Steel

Enter the distance from the bottom of section to center of gravity of the prestressing steel (in)

Service Load Data Panel

Load Title

Enter a maximum of 40 alphanumeric characters to describe the load

Dead load Moment (DL)

Enter the moment due to dead load (k-ft)

Page 5-48 Concrete Design Program

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

+Load Moment (Ll+l)

Enltrlhemaldmumarominimum~due tostlnlbrclHS-2lltruck impact loadlng (k-It~

PmiddotLoad Moment (LL+I)

Enter the miiXimum moment dwgt to CALTRANS Pennil truck + impact loading (kmiddotfl)

ForPmiddotLoads on clOSltl) spaced girders (PC) used only for superstructures (ie box girders) input the Pmiddot Load for the number of lanes loaded

For widely spaced girders (PW) and subslTuctures (ie bltnt cap) input the P-Load as 115 limes orte lane ofI load (115P) or input 11Slimes one lane of P load plus one laneof H load (IISP + H) which ever controls

Other Moment

Enter any other momet you want to consider (kmiddotft)

Secondary Moment

Enttr prestrti$ing secondary momenL (kft)

Axial Loads

Enter the corresponding axial loads for DEAD LOAD HmiddotLOAO PmiddotLOAD and OTHER LOAO (k)

Load Factors

Enter the appropriate load factors for DEAD LOAD H-LOAD P-LOAO and OTHER LOAD TIbulle default values are 130 217 130 nnd 130 respectively

Strength Reduction Factor

Enterstrength reduction factor for bltnding Default Is 90 for reinforced concrete (RC) and 95 for fully preswssed (FP) and partiaUy prestressed (PP) membltrs

Flnal Prestress Force After All Losses

Enter the final prestress force after all losses inkipt

Notes

Nlarive (middot)moment causes wnslon In the top therefore there must be a ~tlN rebarla)buller at the top oi the section

Posmv~ (+) mom~nt causes tension in the bonom therefore there must be a MAL rebar Jaytr (It the bottom of the section

Minimwn moment is used for the fatigue an_lysls

Pags 5middot49 Cooetftbull Design Program -----------------shy

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

liztrans

Example Problem 1

Box Girder Design

Determine the amount of tension reinforcement required ina box girder for maxim tun positive moment considering fatigue and crack control criteria

Service Load Data Dead Load H- Load P - Load

(DL) (LL+I) (LL+I)

Max moment 4270 2447 4693 Min moment -326

112 -Typical Section

Symmetrical about ~

--- 4 bull fllrets -z_ = ~ shyin

~ If)

co

3-1 2-3 7-8 4-9

17-9

Page 5-410 Concrete Design Program

Bridge Computer Manual - September 1994 bull

bull bullbullbullbull bullbull bull Ycent1R CCNC PtoAft shy0 bullbullbull bull 0 bull bull 0 bull bullbullbull bull bullbullbullbullbullbullbullbullbullbull 0 0 bullbullbullbullbullbullbull bull

80X GPDpound1 D~QI JERGQtf IIS OIIt1 RC DESIGtl Ytl YES

L l$ 01)1)] 2tOCO YU l70 S$0 bullbull

lSSc nu 125 lOO ubull Sl bull - c o 206 oco oo )00

IWt JOrnvE ~ u lU1 ~)U dU 0

0 0 0 c JJO 1 1 llO 1~0

bull Loe raquotebull

-Pogc 5-lt t t Concltcro OesJgnPmgam - ------------ ----shy

bullbull bull bullbullbullbullbullbull bull bull bullbull bull bull

Bridge Computer Manual - September 1994 bull

o o o o o o o o o o o o o o o

l~ ) Sl ~32i9J PADr

bull bull bullbullbullbull 0 bullbullbullbullbullbullbullbullbullbullbullbullbull bull bullbullbullbullbullbullbullbullbullbullbull 0 bullbull0 bullbullbullbullbull bullbull bullbullbull bullbull bull bull bull bull bull bullbull bull 0 0

c~L-t Dtscs F-POlfJI ( RC) FStNrcFCec comatTE ( i ) PA~TltlLY FR1$TRB$8poundD ~) rtJt) lfZSRZ$1)

CAtH10 Lilbull OfiAJlt JXttT OF fVJSPOtto Oti VeRSIC~ 4 060Ji7

o bull o o o o o o o t o o bull o o bull o o o o o bull o o o o o o o

0 bull 0 bull bull 0 bullbullbullbullbullbullbullbullbull 0 bull bullbullbullbull bullbull bullbullbull bullbullbullbullbull bullbullbullbullbullbullbullbull ~bullbull 0 bull

Tt lpound OT ANALSS

COtml SAMltQttl

COtsm~ SZPVICt bull Qt(K =-TROII

mJIQn ~TT COYiR~SJVE $TRE$$ otrwn co~ eGMPR~xvz $1PAAN YOIJ~S HCOUUlS OR CCNCltrt

YoctUS HOOUtus FOR $TEI ~DAA$ Y llD STRESS 10Jt Sftk REBAA$

YOIJHGS ~OS f(gtR t lilC$$ STtt L UTt~pound STRESS fOlt PRampSTilt$$ itt LOIImiddotAT ~~S SEU

laquolXJA~ RAl O Yl LD iTtpound- IampS tcl MODUtAA RAIO iFESTRfSS STEfL ( EP OCJ

bullbull i tc) bull ( ampQ) bull

( te) bull

($ bull

( FSI ~

) bull

fPI

bull

(

o o o o o o o o o o o o o o o o o o o o o o o o o 1 o 1 o

bull 0 bullbullbullbullbullbullbullbullbullbullbullbullbullbull

La 1SI ~ DOl PI DI )~- ~SJ

2900 0 ltSl GO O itSJ

211000 zs 21amp0 X$~

su 8 (2

17 o ~tn

~ gtTAL MMH bull s so n

0 f lAlaquoi t K lCtH IC0 -1 ) bull lS So FT 00 FU~Ct ~IMH I I ) ll 2 Of FLA~amp 1H1ClttampS$

Wrotll (If 11

DltmO ltgt~G ICtK 1~Ct lotlDttl -

bull i 2S rbull

bull 3 00 tT

(cent0tP) 0 21 63 r-r 22 6) ( TC l ) bull

loOlO~ tmiddot~s fl oNSS fl ) n~bull

Ppge 5middot4 2 Concre te Clsign Program

Bridge Computer Manual - September 1994 bull

bullbullbull 0 bull bull bull bullbullbullbull 0 bull bull

0 bullbullbullbullbullbullbullbull bullbull bullbullbullbullbullbullbullbullbullbullbull bull bullbullbull 0 bull bullbullbullbullbullbull bull bullbullbullbullbullbullbull bull bullbullbull bullbullbullbullbullbullbull bullbullbullbull bullbull bullbull bull bull bullbull bullbull bull bull bullbull 0 bull fAA LCC IJU

IIgtT 0 1 00) o oo

tOTAL AAn OF FU11111H Spoundt I AP ) bull 0 00 so~~ o1n fllCie nt KTrC TO cc or rcsngtss nac oo ~

bull bullbull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull 0 bullbullbullbull bullbullbullbull bullbull bull bull bullbullbullbullbullbullbullbull 0 0 bull bullbullbull bull

LOAD PlllB bull MAX PODMVt ~ittr

mAl ~lY

AJamp iibullMAX l middot lVol ~ ~r

UAbull I1 ~J ( U ( Lo (Omiddot fimiddotMI)MJ M~r U10 iU 7 bull lJi 4Ul 0 0

0 0 0 o 0 1fkS 1)0 1 l7 1( lU ~

OCO KIPS

bullbull0 bull 0 0 0 0 bullbullbull

bull bull

Yl~ ltbull t tJI Mmiddot Stil HbullPAC Pbull PAC

4)1f ~~(4 10 ucu-= bullbullUlL 0 c

ampCAD CJOI4)0tlaquoC$

Hbull S eP bull bull lUX) bull IOmiddottlaquotCI ( SmiddotYOH)

Xhl Hbull BER lfHlH) UH tru t bull rAX Ubull FA bull l JO J 401) 20 bull Ul ~) Oil X co~m~bull lOJ X tbullbullMC() KAJr P bullbullA bull I H X ttbull 30 bull t P~KAXI 1 00 X ro Ci) X IImiddot~middot

PtJge 5~ 13

bullbullbull

Bridge Computer Manual - September 1994 bull

bull bull

bullbullbullbull bullbull bullbull bullbull bullbullbullbullbull

Sbull U bull tiiRVlCt S~SO IN aD Sltt IMJ 1-AX IIbullSIftl t aACX cotmtOI

Ibull AI bull FAflOUE $11EIS lN Kl l) SlCEI US) UWC IN KbullIIK) HbullFAC bull Hmiddot FACrof10 HQNJlT PbullPAC bull PbullfACTCRCD H~T HIN1 bull tttlriUI RJtiIFMCE~ClII 1 11 1 1 1

liASto ON l 2 X ni CAAtUiC HMrt IW O bull M4lIP Ql YDlt-nfV11 ~IIJ~DGYr (ll7 12J

lMJ) 0amp Ti2t AApound1 lttJC tKDUgt G~t TlOrti ~FOUUD lit ANoLrS l S MAX bull ~M ru~~RCDCell (1 1() 1)

liASO o $ I e~CC) S1ttl ltATO

OU TJC2 f1tQK ~ COKtGS r-ll U ta TO tDrUL Utabull At-ntm - na uoc1am CPAC~ ~ tJ- f) tJO a 1

bullbull - 1 59 i53 nt7 con 10 t n ) 4 middot _HbullFAC I IB 2 )) IOCl PmiddottAr 132 1 50 tau u u ))

10 H~l tOl 07 S~2 171t bullbull ) )j10 i U 1SU nss -middot 10 2 26 ~ Cl amp (02~2 1SO C4

0 bullbull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbullbullbull 0 0 bullbullbull 0 bullbullbullbull bull bull bullbull bull bull bullbullbull bullbull comot ~~10 G)l 2 gt0 U il t i U ))

U1lHAt Hlllaquol1 CAJACtt _ fOAl ora MAlf ClT OCT 7 1gtlt TO- I HCICtlT Ju an n bull ~Au CAIACJY

( JO II) 110 H I) ( 1( OJ lS~ D ~ ~QU U~Tt) U NI

COI u t J e~~ U 9 oc ~ OIC lll ) ) n ~ ttOJ lOl ns bullbullbull 111

~Ul~ 1 1

1 T( t M U7 bull bull U)l lClmiddot IJl Ofll ll bullbullbull 2)l1 ese

Conrtee Design Program

bullbullbull

bullbull

Bridge Computer Manual - September 1994 bull

bullbullmiddotmiddotmiddotmiddotmiddotmiddot middotbullmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot bullbull middotmiddotmiddot middotmiddotmiddot middot middotmiddotmiddotbullbullmiddotbullbullmiddotmiddotmiddotmiddotmiddot middotmiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotbullmiddot middotbullmiddotbullmiddotmiddot middotbullbullbullbullbullmiddotmiddotbullmiddotbullmiddotmiddotbullmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotbullmiddot bullmiddotbullmiddotmiddot

uoucrn GICU fIWlsrot~ TIWfliOliltQ ( fTbull bulln 52 0 n 4

lrttiTU ( fT bullf J Ul t 2 U S S79 ( 1gtl) Hl 2 1 = bullbullbullYNA t iN) Ul ll

Lo-o~am ~-o OUXID GJiOlS ~~ lMHSICliiCD

- t tFpoundSDt - t t-~~ - - lnUtiJU - r 10AD 11 0 IOlr((( TOP ~ 10t ~

40) l Sf fttl 602 0

(1 S X SQ~T ret bull 21 PSI

Ym bull OJSgt~ fJtllil ~~SlCM Ftlat TO~ Cl ~JITt

e) bull jJ3~ BOH IXQXI ~UUfof YtA 1C ~ AXt f bull l bull DiSllaquot (middotI = ~SOH

Conctco Design Prormm Paglt1 5middot4 15

--- -

bullbullbullbullbullbullbullbull Bridge Computer Manual - September 1994 bull

bull bullbull bullbull bull bull bull bull bullbull bullbullbullbullbullbullbullbullbullbullbullbull 0 bullbull

0 bullbull bullbullbull bull bullbullbullbullbullbullbullbullbullbull bullbull bull bullbull bull bullbullbullbullbull bullbull bull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbull 0 bullbullbull bull bullbullbull 0 bullbull bullbullbullbull bullbullbull0 bullbull bull bull

bull~DtVlcamp-t-rAnacq-

fAA ~ KU ~liJW rQtl ~4001 au JtllO ~ SJIi SIU Qolt ~ISS $UU kAlaquoJIpound RAQ t Ph SiACS nua uu octc

t~l ~lSu us1 CJtll I ll ) f Nl C~ DCJ triO

221 21 0 ) t) aot 6249 SiS sc lS SmiddotAS li 4 5 uu l 1 12 61 00 u u u a 11 SmiddotAS 31 e )])$ 1)11 1744 lll nu 10 P-PM llJl n u 1) 2) ll l) U 22 S ll lt( U bull P- Jt l tc u oc uu nn U ll 650 4 Lf0 bull fbullTA nti )i 00 U Lt 1121 ll~ s u 4 55 imiddotbullfAC u o )6 0) au ll 2 ) n u )Jl u u Pbullf u ts H Co Jt 112 (3 50 l t-t u bull l

PAC exES

1 bull JJ SAt m US 7U~ HI AAn10 Ml)nctbS (t2l ) raquo Sigt~ Ipound$1 7MAf TKE ~ cAlOlVIS KItllHJiot (P gtU C1)WI ltCirOQ K~ nLo 1(1 UIHlO MlXldJM I S 1 bull (t-201

Pbullgos-4 JG

bull bull bull bull bull bull

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

Example Problem 2

Bent Csp Design

Determine the amount of tension reinforcement r~ed Jn a ~t cap for maximum negative momml considering fotigue and crack control crllorlo

Service Load Dolo DoadLoad H bull Lltgtad P middotLoad

(OL) (Ll+l) (LL+I)

Mu moment -2 146 -706 middot2155 Min moment 0

~ ~6 ~18- _1~

Ibull bull bull bull bull bull bull bull bull bull t -1- 7 i6 Oigtor bar$

(tronsvorso deck sleel) 1- ~1 1 Main Bars

I 11 I

Cap-Section sa bullbull 2

Page 5middot-lt 7 Concl6ttt Design Pagram ------------------shy

bull bull bull

bullbullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

bull bull bull bullbull bullbullbullbullbullbullbullbullbull bull bull bullbullbull bull bull bullbull bull 0 bullbullbullbullbullbullbull bull bull bull

YOtIR ~ Fni)IAi IS OmltA7 CIJ OZSJC~ NH RtlSaRSamp ~ SEit vtl ON eGo t7

OampSJQlt iS= )25 001)) 29000 bullo lO sso bullo iOo- 8 2 5 ( 00 1(middot0 00 middot YAlP 0 11 ltU 1 (1 00 orm 7 2 00 1 coo 0 00 0 01

IOXl~m NCITt~ HO~T

-214 - lCli bull middot2SS bull0 0 0 lll 211 llO lCO 090

Page 5middot4 8

Page 2: Chapter 5-Reinforced Concrete - Caltrans · Box Girder Design ... equilibrium of internal stresses and compatibility of strains. ... mode, the designorenleJo thenumb

Bridge Computer Manual-September 1994 bull

Input Data Format (Xedit)- conlinued

Sttl(ture Data middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot---middotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddot-middotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddot-middotmiddotmiddot- middotmiddotmiddotmiddot--middotmiddot---- middotmiddotmiddotmiddotmiddotmiddot-_middotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot5-424 Rebar Data - $-425

Prestress Data 5-425

Lolld Data S-425

FJexure Design Theory middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot---middotmiddot5426

ScrvClability Requirements s-26

Strength Design s-27

Deflnftions-- bull- - _____- - _5--428

bull

Prig 5-4i ConJtnts

Bridge Computer Manual - September 1994 bull

Concrete Design Program Instructions for Users

Introduction

This p rogram is available as CONC on the Bridge Menu This program will deilgn or check reinforced conoete (RC) or Fully Prestressed Concrete (FP) or Partially Prestresed Concrete (PP) sections using the Bridge Design Sped6cations of the California Deportment ofTransportation hereafter referred to as the Code The cross section may have a rectangular or flanged shape Up to eight layersof reinforcingst~l lMY be inputand willbe ineither tension orcompresslondepending on the applied loads The bars may be input as single bars or bundled two vertically or two horizontaUy The program determines the area of tension steel required to resist applied dead load and live load moments

The program uses the STREIGTH DESIGN METHOD (Load Factor Design) based on the assumptions given in article816 of thecodeand on the satisfaction of theapplkableconditionsof equilibrium of internal stresses and compatibility of strains At the factored level the program considers the standard HS-20 (H-FAC) and CAL TRANS Permit (PmiddotFAC truck loadings as deshyscribed in article 322 of the code

The program has an option to consider loads at the service level to satisfy the serviceability requirements (Code 8168) for fatigue (FmiddotSER) and crack control (CmiddotSER) For investigation of stresse~atthe service level the straight-line theory of stress and strain isused with theassumptions as outlined in article 8153 of the Code

Input parameters include gereral control data material properties structure dimensions rebar lltlyoutand load data The program usespanelinput (4 panels) anlt where p ractical parametersare defaulted to commonly USltgtd values The program also hasanXEDIT m ode which allows the user to by-pass the panels and directly edit the input data file

The program calculates the area ofsteel required lor fatigue crack control factored moment (Mu) 12 timesthecracking moinent75 times the balancedsteelrotioand prints the controlling lo1d type To facilitate bar cutoff calculations the program prints tile moment capacity (design moment s-trength) based on 100 80 60 40 20 and 0 of the area of main steel required for the controlling load type

Atable offinal resultscontaining the area ofsteel required for different barsizes isalso printed TI~e table indicc1tes lhe controlling load type maximum servke stress allowable service stre-ss fatigue stress ratlge allowable fatigue stresq range effective depth area oJ steel and tebat spacing The program checks the ba r spacing based on the code (8211) and CAL TRANS preferred bar spacing

Concro~ Desjgfl Prcgram Page 5middot4 1

---

bullbullbullbullbullbullbullbull Bridge Computer Manual -September 1994 bull

Input Panels

TTipound

IRC unrroatD cowr~ fPP) lAATtltl Y RESlUSSEC

IPI Fl1ttY pound-~SlRSSto

tYPpound omiddot s-Rubulln

tCil~

COt$gt~ PATlGVpound1 Ccent1lSIgtD ttRVCpound - cucK ~middotnCL

~tIKAT ~ COKPUSSIl SWSS W1MAl ~ COtlPZSSI4 SlVrl

fPCJ(traquol

YOUbullCS WIXIWS 10~ S1Ul tt3AAS lUl i ItJgt ~poundS$ roR Stt RfaAAS tfSl

ULTIMitt trIUS Oft iUS~SS snt CZ70l$0) ltFP) LOW- lX USTU~U sn=t iJ$lOgt pound1llcent)eurotAJ PACtOit FUR owC QONIIOL

fiiUIm nATo

TOTV Dinfl

TOP Pt-l~E ITFampCIVt WDr-1 (laquoJJQgt) 10f PLV~rpound poundffIX1lIS 074 iTCI) TOP Pt-QI TRICIQlts$

WIDTK centP ttS

~4 LAoroZ ffpoundCrr-n WDH llCnltA4 nrm poundFfttTrrt rtcH IOIC~ ttllOE 7Kl01ESS

NOTpoundS

UICPPIFP)

Cflt CHtceS)

( pound$(~)

(~amp$HCIJ

( tt

bull bull bullbull

(COKP) ( Tal)

bull

c

bull

bull =

bullbull = bull

bull a

--------

- - shy vnbull KSi lltSt

-- shy

PIt

n middot lT

1 FM IC1AraquoGIUA $HAJgtO 3raquo~ ~ roTA OtfTt () lgtltmi CP 1lt8 Ott Y 2 fOR Epound$ ~ 701-1 ltM-i bullumt OF ~tS lJQ Of 0~ JOMM rL-centt

OttA cmY l F~~ tlA~to ltAt~ THE msl~ ~m 14tlIF gteJAutTS TO vS Q01Pftamp$$0t

JLJt-(l WlDTH

Ptlgc 5-42 Concrete Ocsigrt P10gram

-- - - - - ----- - - - - ---- - -- - -- - -- - -- - -- - - -- --- - - - - --- --- - - - - --- --- -- - - -

- - -

Bridge Computer Manual - September 1994 bull

ST~L DtT IE3Jl WlJ COVA 80hgtL QC UiEfl ~AA$ zt tnJ PAn~ AIGE

--

TOTM AAamp OF PRESITRt3S SrL bull =~ Jl

DSWCpound fJt~ SOH OtStciotf TO C C or PRESTUSS SJL (DS) bull m

i nmtt pi1tR)J 1 bull l

1 l AM VD1llt)l bAAS V~ZOUtU 2

$iiVlQ LOAD OAT~ (U-M)

LOW ll(pound

HAT ~ s ECOf-)Arr OfI) tOoP HmiddotLOAD HmiddotLOgtgt P-tOAb ~~

~r xi~ --

-~ iEVJCTlOtl fMTOJI ( PHI)

REStPSS foMa ~ AU vss~s middot-- KiiSrw~ I FF) bull

NO)i$ bull lEIOATivt t-gt YMQl7 C)OSe$ mtSlO~ AT Oi C1 SIXI~l

2 P)STlVT tbull l MOOm CAIJSFS ~~C~ 1 80IQi OY $poundCTJC~l l OtNMUY Y~ IS tiS~ Of FAIl((B AWLYSIS

Concrete Design Program PagoS-43

bull bull bull bull bull bull bull bull

bullbullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

General Description

r Etred ive width Tension - compcessfon Top ether bars

~L__--====+-- bull Top mmnbars

1--- Woll ~1lt11h

Bonom main bars

bull ~I bull bull bull bull bull bull bull bull o

~I I Boa1om Other 8 Tension- compre$$ion bars

Effeelive width

Input Panel Instructions

GenersJ Oats Panel

Title

Enter a maximum of 40 alphanumeric charac-tersto identify your problem

Type Of Structure

Reinforced Coocrete (RC)

Strenglh design method and serviceability criteri1as outlined in the code

Fully Prestressed (FP)

Cwrent Cal trans design specifications require zero tension in the concrete under full

dead load but allow some tension (6 x ff)Mdcr fuU service load The section is still considered uncrackcd and is designed using gross sect-ion p roperties and traditional equations of mechanks

Pagb 5middot44 Conetete Oampsign Progr~m

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

Partially Prestressed (PP)

The rend in current design pradice is to panally prewess structures by combining (uUy stressed tendons with mHd steeJ reinforcement allow 4 x [f tension in the ooncrete Ulldcr full dead load and allow the section to crack Ullder full serva load and sotisfy ultiJNte strength and sotvleeability oiteria Partially pmtrHsed membltrs are dKigned using the same crack width and mild steel fatigue limitations as reinforced concrete Maximum semeestress in the prestress steel alter osseo is limited to 80 of yield stross For low lax and normal 7-strnnd prestressing strand the yield stress is equal to 90 and 83 of the ultimate stress spectivcly

The allowable range between maximum and minimum tensile stress in the prestress steel caused by livc lood plus impact at semee load after losses shall not exceed 22 ksl

For mo detailed Wormation on the dKipgt of partial pncstressed structwu see bull A OSign Procedure for Partial Prestressing of Concrote Box-Gilder Bridges by Steve McBride (SASA- 227middot8268)

Type Of Anatyels

Enter the typeofanai)Sis DESIGNor CHECK The default is DESIGNInboth the DESIGNand OIECKmode the program computes the numbltrofMAII temionb1rs requlndln CHECK mode the designorenleJo thenumbltr of MAIN tension bats theprogrun makes aoomparison to the number of MAIN leNion~computedatld prints an appllcablt OK or NG

The program prints a table of finalsults containing a stress analysis lor cracllt control and fatigue requirements In the DESIGN mode the otress analysis is based on the area ofsteel required for different bat slus In Ow CHECK mode the stress -ItSis Is based on the area of steel and bar size input

Consider Fatigue (Code 81683) (YesNo)

EnterYEStoCOISider CaUgue or NO to neglectitTheprogrun will calculate thestmsraJge between maximum tensionstressand minjmum stressin thesmiddotteel barsclosest to lhrexrreme tension fibltr caused by live load plus impact at the servlt level Ar area of steelmiddotis determined sotlult thestreM range isequal to theallowabl tress rangeThe default isYES

Note that fatigue is chedtdat point of load application Tiw d~igncr is ~ponsibk for Jssuring fatigue compllltrtce at other S-frCtions tlvou_ghout the span GerleraUy this is at locations where bars a re terminated (cui off)

Consider Crack Control (Code 81684) (YesNo)

Enter YES to consJder crock control or NO to neg~t it At setvice level an atea or steel is determined so that theapplied tess cqu1l the aUowabestrru The aDowlblestress~ds on the rumhcr size and spildng o the baro the eovltr from the extreme ~ion fibor of tho concrete tO the celte-r of the bar located dOeSt to the cxtrem~ ttiSion fiber the area ofconcrete in tensionhanr the same centroid as tho barbeingcon-idered (ortheCG nfbull group olbm) and the accepfJible cracllt htdth (environmental Z foetor~ Toe default is YES

CotlcretB DJJMign ProgrJm bullobull smiddotbulls

bullbullbullbullbullbullbullbull Bridge Compute r Manual - September 1994 bull

Ultimate Concrete Compressive Stress

Enter the ultimate concrete compressive S1Tength (ksi) The default is value 325 ksi

Ultimate Concrete Compressive Strain

Enter the ultimate concrete compressive strain (in in) The default value is 003 inin

Youngs Modulus for Steel Rebars

Enter Youngs modulus for the steel rebars (lltlti) The defult value is 29000 ksi

Yield Stress of Steel Re bar

Enter the yield stress (tltSi) of the steel rebar The default is 60 ksi

Ultimate Stress for Prestress Steel

Enter the ultimate stress for prestress steel The default is 270 ksi

Low Lax Prestress Steel

Enteryesor no The yield stress (11 ) for low middotlax strmd iscalculated as 90 times theultimate stress (I) Fornormal strnndtheieldstress(17) iscalcuJated as 85t imes theultimatestress (f)

Environmental Factor (Code 81684) (Z)

Entertheenvironmental factOr Z (kin) This is the Z factor used in the craclc controlchedlt The default is 170 kin

Structure Data Panel

Total Depth

Enter the total member depth (fl)

Top Flange EHective Width (Comp)

Enter the effective width of the Jlange when the top goes into compression (Code 810)

Top Flange Effective Width (Ten)

Entltr the eflective width of the flange when the top goes into tension (Code 8172)

Top Flange Thickness

Enter thickness of top lange (in)

P~gc 5middot46 Concrcttt Doslgn Pmgram

bullbullbullbullbullbullbull Bridgo Computer Manual - September 1994 bull

t1llt1rrnl

Width of Web

Enter width of web (ft )

Bottom Flenge EHecllve Width (Comp)

Enter the effective width of the flange when bollom goe$ into compsslon (Code 810)

Bottom Flange EHeclive Width (Ten)

Enter the effective width of the flange when the bottom goes Into lension (Code 82)

Bottom Flange Thickness

Enter the thiclness ofboll om flange (in)

Notes

Since themiiXilnum and minimum appUed moments for the fatiguecheck may be oppDltSite In$lgn the effective compression and tltNon flange width for both the top and the bottom of the section is nquired

By providing theeffective COD1pn1SSionand tension lAnge width for both thetop and bottom of the section the user can design the section for positive moment on one IW then deJign the ltdionfor negatnmiddote rnament on the lIXt run without having to lthange the stnocture data

For rectnngular beams enter the total d epth and width ofweb only

For T-beams enter total depth width of web and top or bortom Iango data only

For flanged beams the tension flange width defaults to the complte$sion flange width

ReiJar Data Panel

Rebar Location

EnlulOGltionofthe regtarTOPorBOT TOPindgtes thatthetebllrawer lsmeasutltd fromthe top of thesection BOTindicates that the rcbnrcovvismeasured from thebottom of the section

Rebar Layer

Enr the type of rebar layer MAll01 oniER The designer must enter at least one MAIN tcnsionrebar layer MAIN tndlcates the rcbor layelt that is to be diJllgted orchecllted Onlyone MAIN rebv layer is allowed at the top and bottom of the section If the applied moments aro positibullY the of $1tcl for the bottom MAll rebar la)er w11 be determined U the appUed momLlt are negative the area of steel for the top MAIN rebar Ioyer will be detcnnined

OTHER rebar Uybullrs considered in thi design but their bullrea of steel is held COI$tl~l These btmiddotus may be in eitier comprC$Slon or tenston depe-nding on their lOCAtion and the applied mornent Up to 6 OTHER rebar layers are allowed

~~bull~nP~mm ----------------------------------- shy

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

t1rlfrans

Total Bars

Enter total number of bars in the layer Since the program computes the riwnber of MAIN tension rebars required the numberofrebars in theMAIN tension layer should beleftblank inDESIGNmodelfthe number of MAIN bars is entered and they go into compression they will be considered as compression steel middot

In the CHECK mode the designer must enter the number of rebars _in the MAINtension layer Always enter the total number of bars in OTHER layers

Bar Size

Enter the Bar sjze

Cover

Enter the distance from the TOP or BOT of the section to the outsid~ of the rebar (in)

Bundle Pattern

Enter a 1 for single bars Enter 2V for two bars bundled in a vertical pattern Enter 2H for two bars bundled in a horizontal pattern

Skew Angle

MAINbarsmaynotbeskewed Only OTHER bars (transverse deck reinforcement) are allowed to be skewed The programcomputes aneffective steel area bymultiplying the actual area of the barsbythe cosine of the skew angle Note byprovidingboththeTOPand BOT MAIN steel the user can design the section for positive moment on one run then design the section for negative moment on the next run without having to change the rebar data

Total Area Of Prestressing Steel

Enter the area of prestressing steel (sq in)

Distance From Bottom Of Section To CG Of Prestress Steel

Enter the distance from the bottom of section to center of gravity of the prestressing steel (in)

Service Load Data Panel

Load Title

Enter a maximum of 40 alphanumeric characters to describe the load

Dead load Moment (DL)

Enter the moment due to dead load (k-ft)

Page 5-48 Concrete Design Program

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

+Load Moment (Ll+l)

Enltrlhemaldmumarominimum~due tostlnlbrclHS-2lltruck impact loadlng (k-It~

PmiddotLoad Moment (LL+I)

Enter the miiXimum moment dwgt to CALTRANS Pennil truck + impact loading (kmiddotfl)

ForPmiddotLoads on clOSltl) spaced girders (PC) used only for superstructures (ie box girders) input the Pmiddot Load for the number of lanes loaded

For widely spaced girders (PW) and subslTuctures (ie bltnt cap) input the P-Load as 115 limes orte lane ofI load (115P) or input 11Slimes one lane of P load plus one laneof H load (IISP + H) which ever controls

Other Moment

Enter any other momet you want to consider (kmiddotft)

Secondary Moment

Enttr prestrti$ing secondary momenL (kft)

Axial Loads

Enter the corresponding axial loads for DEAD LOAD HmiddotLOAO PmiddotLOAD and OTHER LOAO (k)

Load Factors

Enter the appropriate load factors for DEAD LOAD H-LOAD P-LOAO and OTHER LOAD TIbulle default values are 130 217 130 nnd 130 respectively

Strength Reduction Factor

Enterstrength reduction factor for bltnding Default Is 90 for reinforced concrete (RC) and 95 for fully preswssed (FP) and partiaUy prestressed (PP) membltrs

Flnal Prestress Force After All Losses

Enter the final prestress force after all losses inkipt

Notes

Nlarive (middot)moment causes wnslon In the top therefore there must be a ~tlN rebarla)buller at the top oi the section

Posmv~ (+) mom~nt causes tension in the bonom therefore there must be a MAL rebar Jaytr (It the bottom of the section

Minimwn moment is used for the fatigue an_lysls

Pags 5middot49 Cooetftbull Design Program -----------------shy

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

liztrans

Example Problem 1

Box Girder Design

Determine the amount of tension reinforcement required ina box girder for maxim tun positive moment considering fatigue and crack control criteria

Service Load Data Dead Load H- Load P - Load

(DL) (LL+I) (LL+I)

Max moment 4270 2447 4693 Min moment -326

112 -Typical Section

Symmetrical about ~

--- 4 bull fllrets -z_ = ~ shyin

~ If)

co

3-1 2-3 7-8 4-9

17-9

Page 5-410 Concrete Design Program

Bridge Computer Manual - September 1994 bull

bull bullbullbullbull bullbull bull Ycent1R CCNC PtoAft shy0 bullbullbull bull 0 bull bull 0 bull bullbullbull bull bullbullbullbullbullbullbullbullbullbull 0 0 bullbullbullbullbullbullbull bull

80X GPDpound1 D~QI JERGQtf IIS OIIt1 RC DESIGtl Ytl YES

L l$ 01)1)] 2tOCO YU l70 S$0 bullbull

lSSc nu 125 lOO ubull Sl bull - c o 206 oco oo )00

IWt JOrnvE ~ u lU1 ~)U dU 0

0 0 0 c JJO 1 1 llO 1~0

bull Loe raquotebull

-Pogc 5-lt t t Concltcro OesJgnPmgam - ------------ ----shy

bullbull bull bullbullbullbullbullbull bull bull bullbull bull bull

Bridge Computer Manual - September 1994 bull

o o o o o o o o o o o o o o o

l~ ) Sl ~32i9J PADr

bull bull bullbullbullbull 0 bullbullbullbullbullbullbullbullbullbullbullbullbull bull bullbullbullbullbullbullbullbullbullbullbull 0 bullbull0 bullbullbullbullbull bullbull bullbullbull bullbull bull bull bull bull bull bullbull bull 0 0

c~L-t Dtscs F-POlfJI ( RC) FStNrcFCec comatTE ( i ) PA~TltlLY FR1$TRB$8poundD ~) rtJt) lfZSRZ$1)

CAtH10 Lilbull OfiAJlt JXttT OF fVJSPOtto Oti VeRSIC~ 4 060Ji7

o bull o o o o o o o t o o bull o o bull o o o o o bull o o o o o o o

0 bull 0 bull bull 0 bullbullbullbullbullbullbullbullbull 0 bull bullbullbullbull bullbull bullbullbull bullbullbullbullbull bullbullbullbullbullbullbullbull ~bullbull 0 bull

Tt lpound OT ANALSS

COtml SAMltQttl

COtsm~ SZPVICt bull Qt(K =-TROII

mJIQn ~TT COYiR~SJVE $TRE$$ otrwn co~ eGMPR~xvz $1PAAN YOIJ~S HCOUUlS OR CCNCltrt

YoctUS HOOUtus FOR $TEI ~DAA$ Y llD STRESS 10Jt Sftk REBAA$

YOIJHGS ~OS f(gtR t lilC$$ STtt L UTt~pound STRESS fOlt PRampSTilt$$ itt LOIImiddotAT ~~S SEU

laquolXJA~ RAl O Yl LD iTtpound- IampS tcl MODUtAA RAIO iFESTRfSS STEfL ( EP OCJ

bullbull i tc) bull ( ampQ) bull

( te) bull

($ bull

( FSI ~

) bull

fPI

bull

(

o o o o o o o o o o o o o o o o o o o o o o o o o 1 o 1 o

bull 0 bullbullbullbullbullbullbullbullbullbullbullbullbullbull

La 1SI ~ DOl PI DI )~- ~SJ

2900 0 ltSl GO O itSJ

211000 zs 21amp0 X$~

su 8 (2

17 o ~tn

~ gtTAL MMH bull s so n

0 f lAlaquoi t K lCtH IC0 -1 ) bull lS So FT 00 FU~Ct ~IMH I I ) ll 2 Of FLA~amp 1H1ClttampS$

Wrotll (If 11

DltmO ltgt~G ICtK 1~Ct lotlDttl -

bull i 2S rbull

bull 3 00 tT

(cent0tP) 0 21 63 r-r 22 6) ( TC l ) bull

loOlO~ tmiddot~s fl oNSS fl ) n~bull

Ppge 5middot4 2 Concre te Clsign Program

Bridge Computer Manual - September 1994 bull

bullbullbull 0 bull bull bull bullbullbullbull 0 bull bull

0 bullbullbullbullbullbullbullbull bullbull bullbullbullbullbullbullbullbullbullbullbull bull bullbullbull 0 bull bullbullbullbullbullbull bull bullbullbullbullbullbullbull bull bullbullbull bullbullbullbullbullbullbull bullbullbullbull bullbull bullbull bull bull bullbull bullbull bull bull bullbull 0 bull fAA LCC IJU

IIgtT 0 1 00) o oo

tOTAL AAn OF FU11111H Spoundt I AP ) bull 0 00 so~~ o1n fllCie nt KTrC TO cc or rcsngtss nac oo ~

bull bullbull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull 0 bullbullbullbull bullbullbullbull bullbull bull bull bullbullbullbullbullbullbullbull 0 0 bull bullbullbull bull

LOAD PlllB bull MAX PODMVt ~ittr

mAl ~lY

AJamp iibullMAX l middot lVol ~ ~r

UAbull I1 ~J ( U ( Lo (Omiddot fimiddotMI)MJ M~r U10 iU 7 bull lJi 4Ul 0 0

0 0 0 o 0 1fkS 1)0 1 l7 1( lU ~

OCO KIPS

bullbull0 bull 0 0 0 0 bullbullbull

bull bull

Yl~ ltbull t tJI Mmiddot Stil HbullPAC Pbull PAC

4)1f ~~(4 10 ucu-= bullbullUlL 0 c

ampCAD CJOI4)0tlaquoC$

Hbull S eP bull bull lUX) bull IOmiddottlaquotCI ( SmiddotYOH)

Xhl Hbull BER lfHlH) UH tru t bull rAX Ubull FA bull l JO J 401) 20 bull Ul ~) Oil X co~m~bull lOJ X tbullbullMC() KAJr P bullbullA bull I H X ttbull 30 bull t P~KAXI 1 00 X ro Ci) X IImiddot~middot

PtJge 5~ 13

bullbullbull

Bridge Computer Manual - September 1994 bull

bull bull

bullbullbullbull bullbull bullbull bullbull bullbullbullbullbull

Sbull U bull tiiRVlCt S~SO IN aD Sltt IMJ 1-AX IIbullSIftl t aACX cotmtOI

Ibull AI bull FAflOUE $11EIS lN Kl l) SlCEI US) UWC IN KbullIIK) HbullFAC bull Hmiddot FACrof10 HQNJlT PbullPAC bull PbullfACTCRCD H~T HIN1 bull tttlriUI RJtiIFMCE~ClII 1 11 1 1 1

liASto ON l 2 X ni CAAtUiC HMrt IW O bull M4lIP Ql YDlt-nfV11 ~IIJ~DGYr (ll7 12J

lMJ) 0amp Ti2t AApound1 lttJC tKDUgt G~t TlOrti ~FOUUD lit ANoLrS l S MAX bull ~M ru~~RCDCell (1 1() 1)

liASO o $ I e~CC) S1ttl ltATO

OU TJC2 f1tQK ~ COKtGS r-ll U ta TO tDrUL Utabull At-ntm - na uoc1am CPAC~ ~ tJ- f) tJO a 1

bullbull - 1 59 i53 nt7 con 10 t n ) 4 middot _HbullFAC I IB 2 )) IOCl PmiddottAr 132 1 50 tau u u ))

10 H~l tOl 07 S~2 171t bullbull ) )j10 i U 1SU nss -middot 10 2 26 ~ Cl amp (02~2 1SO C4

0 bullbull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbullbullbull 0 0 bullbullbull 0 bullbullbullbull bull bull bullbull bull bull bullbullbull bullbull comot ~~10 G)l 2 gt0 U il t i U ))

U1lHAt Hlllaquol1 CAJACtt _ fOAl ora MAlf ClT OCT 7 1gtlt TO- I HCICtlT Ju an n bull ~Au CAIACJY

( JO II) 110 H I) ( 1( OJ lS~ D ~ ~QU U~Tt) U NI

COI u t J e~~ U 9 oc ~ OIC lll ) ) n ~ ttOJ lOl ns bullbullbull 111

~Ul~ 1 1

1 T( t M U7 bull bull U)l lClmiddot IJl Ofll ll bullbullbull 2)l1 ese

Conrtee Design Program

bullbullbull

bullbull

Bridge Computer Manual - September 1994 bull

bullbullmiddotmiddotmiddotmiddotmiddotmiddot middotbullmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot bullbull middotmiddotmiddot middotmiddotmiddot middot middotmiddotmiddotbullbullmiddotbullbullmiddotmiddotmiddotmiddotmiddot middotmiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotbullmiddot middotbullmiddotbullmiddotmiddot middotbullbullbullbullbullmiddotmiddotbullmiddotbullmiddotmiddotbullmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotbullmiddot bullmiddotbullmiddotmiddot

uoucrn GICU fIWlsrot~ TIWfliOliltQ ( fTbull bulln 52 0 n 4

lrttiTU ( fT bullf J Ul t 2 U S S79 ( 1gtl) Hl 2 1 = bullbullbullYNA t iN) Ul ll

Lo-o~am ~-o OUXID GJiOlS ~~ lMHSICliiCD

- t tFpoundSDt - t t-~~ - - lnUtiJU - r 10AD 11 0 IOlr((( TOP ~ 10t ~

40) l Sf fttl 602 0

(1 S X SQ~T ret bull 21 PSI

Ym bull OJSgt~ fJtllil ~~SlCM Ftlat TO~ Cl ~JITt

e) bull jJ3~ BOH IXQXI ~UUfof YtA 1C ~ AXt f bull l bull DiSllaquot (middotI = ~SOH

Conctco Design Prormm Paglt1 5middot4 15

--- -

bullbullbullbullbullbullbullbull Bridge Computer Manual - September 1994 bull

bull bullbull bullbull bull bull bull bull bullbull bullbullbullbullbullbullbullbullbullbullbullbull 0 bullbull

0 bullbull bullbullbull bull bullbullbullbullbullbullbullbullbullbull bullbull bull bullbull bull bullbullbullbullbull bullbull bull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbull 0 bullbullbull bull bullbullbull 0 bullbull bullbullbullbull bullbullbull0 bullbull bull bull

bull~DtVlcamp-t-rAnacq-

fAA ~ KU ~liJW rQtl ~4001 au JtllO ~ SJIi SIU Qolt ~ISS $UU kAlaquoJIpound RAQ t Ph SiACS nua uu octc

t~l ~lSu us1 CJtll I ll ) f Nl C~ DCJ triO

221 21 0 ) t) aot 6249 SiS sc lS SmiddotAS li 4 5 uu l 1 12 61 00 u u u a 11 SmiddotAS 31 e )])$ 1)11 1744 lll nu 10 P-PM llJl n u 1) 2) ll l) U 22 S ll lt( U bull P- Jt l tc u oc uu nn U ll 650 4 Lf0 bull fbullTA nti )i 00 U Lt 1121 ll~ s u 4 55 imiddotbullfAC u o )6 0) au ll 2 ) n u )Jl u u Pbullf u ts H Co Jt 112 (3 50 l t-t u bull l

PAC exES

1 bull JJ SAt m US 7U~ HI AAn10 Ml)nctbS (t2l ) raquo Sigt~ Ipound$1 7MAf TKE ~ cAlOlVIS KItllHJiot (P gtU C1)WI ltCirOQ K~ nLo 1(1 UIHlO MlXldJM I S 1 bull (t-201

Pbullgos-4 JG

bull bull bull bull bull bull

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

Example Problem 2

Bent Csp Design

Determine the amount of tension reinforcement r~ed Jn a ~t cap for maximum negative momml considering fotigue and crack control crllorlo

Service Load Dolo DoadLoad H bull Lltgtad P middotLoad

(OL) (Ll+l) (LL+I)

Mu moment -2 146 -706 middot2155 Min moment 0

~ ~6 ~18- _1~

Ibull bull bull bull bull bull bull bull bull bull t -1- 7 i6 Oigtor bar$

(tronsvorso deck sleel) 1- ~1 1 Main Bars

I 11 I

Cap-Section sa bullbull 2

Page 5middot-lt 7 Concl6ttt Design Pagram ------------------shy

bull bull bull

bullbullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

bull bull bull bullbull bullbullbullbullbullbullbullbullbull bull bull bullbullbull bull bull bullbull bull 0 bullbullbullbullbullbullbull bull bull bull

YOtIR ~ Fni)IAi IS OmltA7 CIJ OZSJC~ NH RtlSaRSamp ~ SEit vtl ON eGo t7

OampSJQlt iS= )25 001)) 29000 bullo lO sso bullo iOo- 8 2 5 ( 00 1(middot0 00 middot YAlP 0 11 ltU 1 (1 00 orm 7 2 00 1 coo 0 00 0 01

IOXl~m NCITt~ HO~T

-214 - lCli bull middot2SS bull0 0 0 lll 211 llO lCO 090

Page 5middot4 8

Page 3: Chapter 5-Reinforced Concrete - Caltrans · Box Girder Design ... equilibrium of internal stresses and compatibility of strains. ... mode, the designorenleJo thenumb

Bridge Computer Manual - September 1994 bull

Concrete Design Program Instructions for Users

Introduction

This p rogram is available as CONC on the Bridge Menu This program will deilgn or check reinforced conoete (RC) or Fully Prestressed Concrete (FP) or Partially Prestresed Concrete (PP) sections using the Bridge Design Sped6cations of the California Deportment ofTransportation hereafter referred to as the Code The cross section may have a rectangular or flanged shape Up to eight layersof reinforcingst~l lMY be inputand willbe ineither tension orcompresslondepending on the applied loads The bars may be input as single bars or bundled two vertically or two horizontaUy The program determines the area of tension steel required to resist applied dead load and live load moments

The program uses the STREIGTH DESIGN METHOD (Load Factor Design) based on the assumptions given in article816 of thecodeand on the satisfaction of theapplkableconditionsof equilibrium of internal stresses and compatibility of strains At the factored level the program considers the standard HS-20 (H-FAC) and CAL TRANS Permit (PmiddotFAC truck loadings as deshyscribed in article 322 of the code

The program has an option to consider loads at the service level to satisfy the serviceability requirements (Code 8168) for fatigue (FmiddotSER) and crack control (CmiddotSER) For investigation of stresse~atthe service level the straight-line theory of stress and strain isused with theassumptions as outlined in article 8153 of the Code

Input parameters include gereral control data material properties structure dimensions rebar lltlyoutand load data The program usespanelinput (4 panels) anlt where p ractical parametersare defaulted to commonly USltgtd values The program also hasanXEDIT m ode which allows the user to by-pass the panels and directly edit the input data file

The program calculates the area ofsteel required lor fatigue crack control factored moment (Mu) 12 timesthecracking moinent75 times the balancedsteelrotioand prints the controlling lo1d type To facilitate bar cutoff calculations the program prints tile moment capacity (design moment s-trength) based on 100 80 60 40 20 and 0 of the area of main steel required for the controlling load type

Atable offinal resultscontaining the area ofsteel required for different barsizes isalso printed TI~e table indicc1tes lhe controlling load type maximum servke stress allowable service stre-ss fatigue stress ratlge allowable fatigue stresq range effective depth area oJ steel and tebat spacing The program checks the ba r spacing based on the code (8211) and CAL TRANS preferred bar spacing

Concro~ Desjgfl Prcgram Page 5middot4 1

---

bullbullbullbullbullbullbullbull Bridge Computer Manual -September 1994 bull

Input Panels

TTipound

IRC unrroatD cowr~ fPP) lAATtltl Y RESlUSSEC

IPI Fl1ttY pound-~SlRSSto

tYPpound omiddot s-Rubulln

tCil~

COt$gt~ PATlGVpound1 Ccent1lSIgtD ttRVCpound - cucK ~middotnCL

~tIKAT ~ COKPUSSIl SWSS W1MAl ~ COtlPZSSI4 SlVrl

fPCJ(traquol

YOUbullCS WIXIWS 10~ S1Ul tt3AAS lUl i ItJgt ~poundS$ roR Stt RfaAAS tfSl

ULTIMitt trIUS Oft iUS~SS snt CZ70l$0) ltFP) LOW- lX USTU~U sn=t iJ$lOgt pound1llcent)eurotAJ PACtOit FUR owC QONIIOL

fiiUIm nATo

TOTV Dinfl

TOP Pt-l~E ITFampCIVt WDr-1 (laquoJJQgt) 10f PLV~rpound poundffIX1lIS 074 iTCI) TOP Pt-QI TRICIQlts$

WIDTK centP ttS

~4 LAoroZ ffpoundCrr-n WDH llCnltA4 nrm poundFfttTrrt rtcH IOIC~ ttllOE 7Kl01ESS

NOTpoundS

UICPPIFP)

Cflt CHtceS)

( pound$(~)

(~amp$HCIJ

( tt

bull bull bullbull

(COKP) ( Tal)

bull

c

bull

bull =

bullbull = bull

bull a

--------

- - shy vnbull KSi lltSt

-- shy

PIt

n middot lT

1 FM IC1AraquoGIUA $HAJgtO 3raquo~ ~ roTA OtfTt () lgtltmi CP 1lt8 Ott Y 2 fOR Epound$ ~ 701-1 ltM-i bullumt OF ~tS lJQ Of 0~ JOMM rL-centt

OttA cmY l F~~ tlA~to ltAt~ THE msl~ ~m 14tlIF gteJAutTS TO vS Q01Pftamp$$0t

JLJt-(l WlDTH

Ptlgc 5-42 Concrete Ocsigrt P10gram

-- - - - - ----- - - - - ---- - -- - -- - -- - -- - -- - - -- --- - - - - --- --- - - - - --- --- -- - - -

- - -

Bridge Computer Manual - September 1994 bull

ST~L DtT IE3Jl WlJ COVA 80hgtL QC UiEfl ~AA$ zt tnJ PAn~ AIGE

--

TOTM AAamp OF PRESITRt3S SrL bull =~ Jl

DSWCpound fJt~ SOH OtStciotf TO C C or PRESTUSS SJL (DS) bull m

i nmtt pi1tR)J 1 bull l

1 l AM VD1llt)l bAAS V~ZOUtU 2

$iiVlQ LOAD OAT~ (U-M)

LOW ll(pound

HAT ~ s ECOf-)Arr OfI) tOoP HmiddotLOAD HmiddotLOgtgt P-tOAb ~~

~r xi~ --

-~ iEVJCTlOtl fMTOJI ( PHI)

REStPSS foMa ~ AU vss~s middot-- KiiSrw~ I FF) bull

NO)i$ bull lEIOATivt t-gt YMQl7 C)OSe$ mtSlO~ AT Oi C1 SIXI~l

2 P)STlVT tbull l MOOm CAIJSFS ~~C~ 1 80IQi OY $poundCTJC~l l OtNMUY Y~ IS tiS~ Of FAIl((B AWLYSIS

Concrete Design Program PagoS-43

bull bull bull bull bull bull bull bull

bullbullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

General Description

r Etred ive width Tension - compcessfon Top ether bars

~L__--====+-- bull Top mmnbars

1--- Woll ~1lt11h

Bonom main bars

bull ~I bull bull bull bull bull bull bull bull o

~I I Boa1om Other 8 Tension- compre$$ion bars

Effeelive width

Input Panel Instructions

GenersJ Oats Panel

Title

Enter a maximum of 40 alphanumeric charac-tersto identify your problem

Type Of Structure

Reinforced Coocrete (RC)

Strenglh design method and serviceability criteri1as outlined in the code

Fully Prestressed (FP)

Cwrent Cal trans design specifications require zero tension in the concrete under full

dead load but allow some tension (6 x ff)Mdcr fuU service load The section is still considered uncrackcd and is designed using gross sect-ion p roperties and traditional equations of mechanks

Pagb 5middot44 Conetete Oampsign Progr~m

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

Partially Prestressed (PP)

The rend in current design pradice is to panally prewess structures by combining (uUy stressed tendons with mHd steeJ reinforcement allow 4 x [f tension in the ooncrete Ulldcr full dead load and allow the section to crack Ullder full serva load and sotisfy ultiJNte strength and sotvleeability oiteria Partially pmtrHsed membltrs are dKigned using the same crack width and mild steel fatigue limitations as reinforced concrete Maximum semeestress in the prestress steel alter osseo is limited to 80 of yield stross For low lax and normal 7-strnnd prestressing strand the yield stress is equal to 90 and 83 of the ultimate stress spectivcly

The allowable range between maximum and minimum tensile stress in the prestress steel caused by livc lood plus impact at semee load after losses shall not exceed 22 ksl

For mo detailed Wormation on the dKipgt of partial pncstressed structwu see bull A OSign Procedure for Partial Prestressing of Concrote Box-Gilder Bridges by Steve McBride (SASA- 227middot8268)

Type Of Anatyels

Enter the typeofanai)Sis DESIGNor CHECK The default is DESIGNInboth the DESIGNand OIECKmode the program computes the numbltrofMAII temionb1rs requlndln CHECK mode the designorenleJo thenumbltr of MAIN tension bats theprogrun makes aoomparison to the number of MAIN leNion~computedatld prints an appllcablt OK or NG

The program prints a table of finalsults containing a stress analysis lor cracllt control and fatigue requirements In the DESIGN mode the otress analysis is based on the area ofsteel required for different bat slus In Ow CHECK mode the stress -ItSis Is based on the area of steel and bar size input

Consider Fatigue (Code 81683) (YesNo)

EnterYEStoCOISider CaUgue or NO to neglectitTheprogrun will calculate thestmsraJge between maximum tensionstressand minjmum stressin thesmiddotteel barsclosest to lhrexrreme tension fibltr caused by live load plus impact at the servlt level Ar area of steelmiddotis determined sotlult thestreM range isequal to theallowabl tress rangeThe default isYES

Note that fatigue is chedtdat point of load application Tiw d~igncr is ~ponsibk for Jssuring fatigue compllltrtce at other S-frCtions tlvou_ghout the span GerleraUy this is at locations where bars a re terminated (cui off)

Consider Crack Control (Code 81684) (YesNo)

Enter YES to consJder crock control or NO to neg~t it At setvice level an atea or steel is determined so that theapplied tess cqu1l the aUowabestrru The aDowlblestress~ds on the rumhcr size and spildng o the baro the eovltr from the extreme ~ion fibor of tho concrete tO the celte-r of the bar located dOeSt to the cxtrem~ ttiSion fiber the area ofconcrete in tensionhanr the same centroid as tho barbeingcon-idered (ortheCG nfbull group olbm) and the accepfJible cracllt htdth (environmental Z foetor~ Toe default is YES

CotlcretB DJJMign ProgrJm bullobull smiddotbulls

bullbullbullbullbullbullbullbull Bridge Compute r Manual - September 1994 bull

Ultimate Concrete Compressive Stress

Enter the ultimate concrete compressive S1Tength (ksi) The default is value 325 ksi

Ultimate Concrete Compressive Strain

Enter the ultimate concrete compressive strain (in in) The default value is 003 inin

Youngs Modulus for Steel Rebars

Enter Youngs modulus for the steel rebars (lltlti) The defult value is 29000 ksi

Yield Stress of Steel Re bar

Enter the yield stress (tltSi) of the steel rebar The default is 60 ksi

Ultimate Stress for Prestress Steel

Enter the ultimate stress for prestress steel The default is 270 ksi

Low Lax Prestress Steel

Enteryesor no The yield stress (11 ) for low middotlax strmd iscalculated as 90 times theultimate stress (I) Fornormal strnndtheieldstress(17) iscalcuJated as 85t imes theultimatestress (f)

Environmental Factor (Code 81684) (Z)

Entertheenvironmental factOr Z (kin) This is the Z factor used in the craclc controlchedlt The default is 170 kin

Structure Data Panel

Total Depth

Enter the total member depth (fl)

Top Flange EHective Width (Comp)

Enter the effective width of the Jlange when the top goes into compression (Code 810)

Top Flange Effective Width (Ten)

Entltr the eflective width of the flange when the top goes into tension (Code 8172)

Top Flange Thickness

Enter thickness of top lange (in)

P~gc 5middot46 Concrcttt Doslgn Pmgram

bullbullbullbullbullbullbull Bridgo Computer Manual - September 1994 bull

t1llt1rrnl

Width of Web

Enter width of web (ft )

Bottom Flenge EHecllve Width (Comp)

Enter the effective width of the flange when bollom goe$ into compsslon (Code 810)

Bottom Flange EHeclive Width (Ten)

Enter the effective width of the flange when the bottom goes Into lension (Code 82)

Bottom Flange Thickness

Enter the thiclness ofboll om flange (in)

Notes

Since themiiXilnum and minimum appUed moments for the fatiguecheck may be oppDltSite In$lgn the effective compression and tltNon flange width for both the top and the bottom of the section is nquired

By providing theeffective COD1pn1SSionand tension lAnge width for both thetop and bottom of the section the user can design the section for positive moment on one IW then deJign the ltdionfor negatnmiddote rnament on the lIXt run without having to lthange the stnocture data

For rectnngular beams enter the total d epth and width ofweb only

For T-beams enter total depth width of web and top or bortom Iango data only

For flanged beams the tension flange width defaults to the complte$sion flange width

ReiJar Data Panel

Rebar Location

EnlulOGltionofthe regtarTOPorBOT TOPindgtes thatthetebllrawer lsmeasutltd fromthe top of thesection BOTindicates that the rcbnrcovvismeasured from thebottom of the section

Rebar Layer

Enr the type of rebar layer MAll01 oniER The designer must enter at least one MAIN tcnsionrebar layer MAIN tndlcates the rcbor layelt that is to be diJllgted orchecllted Onlyone MAIN rebv layer is allowed at the top and bottom of the section If the applied moments aro positibullY the of $1tcl for the bottom MAll rebar la)er w11 be determined U the appUed momLlt are negative the area of steel for the top MAIN rebar Ioyer will be detcnnined

OTHER rebar Uybullrs considered in thi design but their bullrea of steel is held COI$tl~l These btmiddotus may be in eitier comprC$Slon or tenston depe-nding on their lOCAtion and the applied mornent Up to 6 OTHER rebar layers are allowed

~~bull~nP~mm ----------------------------------- shy

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

t1rlfrans

Total Bars

Enter total number of bars in the layer Since the program computes the riwnber of MAIN tension rebars required the numberofrebars in theMAIN tension layer should beleftblank inDESIGNmodelfthe number of MAIN bars is entered and they go into compression they will be considered as compression steel middot

In the CHECK mode the designer must enter the number of rebars _in the MAINtension layer Always enter the total number of bars in OTHER layers

Bar Size

Enter the Bar sjze

Cover

Enter the distance from the TOP or BOT of the section to the outsid~ of the rebar (in)

Bundle Pattern

Enter a 1 for single bars Enter 2V for two bars bundled in a vertical pattern Enter 2H for two bars bundled in a horizontal pattern

Skew Angle

MAINbarsmaynotbeskewed Only OTHER bars (transverse deck reinforcement) are allowed to be skewed The programcomputes aneffective steel area bymultiplying the actual area of the barsbythe cosine of the skew angle Note byprovidingboththeTOPand BOT MAIN steel the user can design the section for positive moment on one run then design the section for negative moment on the next run without having to change the rebar data

Total Area Of Prestressing Steel

Enter the area of prestressing steel (sq in)

Distance From Bottom Of Section To CG Of Prestress Steel

Enter the distance from the bottom of section to center of gravity of the prestressing steel (in)

Service Load Data Panel

Load Title

Enter a maximum of 40 alphanumeric characters to describe the load

Dead load Moment (DL)

Enter the moment due to dead load (k-ft)

Page 5-48 Concrete Design Program

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

+Load Moment (Ll+l)

Enltrlhemaldmumarominimum~due tostlnlbrclHS-2lltruck impact loadlng (k-It~

PmiddotLoad Moment (LL+I)

Enter the miiXimum moment dwgt to CALTRANS Pennil truck + impact loading (kmiddotfl)

ForPmiddotLoads on clOSltl) spaced girders (PC) used only for superstructures (ie box girders) input the Pmiddot Load for the number of lanes loaded

For widely spaced girders (PW) and subslTuctures (ie bltnt cap) input the P-Load as 115 limes orte lane ofI load (115P) or input 11Slimes one lane of P load plus one laneof H load (IISP + H) which ever controls

Other Moment

Enter any other momet you want to consider (kmiddotft)

Secondary Moment

Enttr prestrti$ing secondary momenL (kft)

Axial Loads

Enter the corresponding axial loads for DEAD LOAD HmiddotLOAO PmiddotLOAD and OTHER LOAO (k)

Load Factors

Enter the appropriate load factors for DEAD LOAD H-LOAD P-LOAO and OTHER LOAD TIbulle default values are 130 217 130 nnd 130 respectively

Strength Reduction Factor

Enterstrength reduction factor for bltnding Default Is 90 for reinforced concrete (RC) and 95 for fully preswssed (FP) and partiaUy prestressed (PP) membltrs

Flnal Prestress Force After All Losses

Enter the final prestress force after all losses inkipt

Notes

Nlarive (middot)moment causes wnslon In the top therefore there must be a ~tlN rebarla)buller at the top oi the section

Posmv~ (+) mom~nt causes tension in the bonom therefore there must be a MAL rebar Jaytr (It the bottom of the section

Minimwn moment is used for the fatigue an_lysls

Pags 5middot49 Cooetftbull Design Program -----------------shy

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

liztrans

Example Problem 1

Box Girder Design

Determine the amount of tension reinforcement required ina box girder for maxim tun positive moment considering fatigue and crack control criteria

Service Load Data Dead Load H- Load P - Load

(DL) (LL+I) (LL+I)

Max moment 4270 2447 4693 Min moment -326

112 -Typical Section

Symmetrical about ~

--- 4 bull fllrets -z_ = ~ shyin

~ If)

co

3-1 2-3 7-8 4-9

17-9

Page 5-410 Concrete Design Program

Bridge Computer Manual - September 1994 bull

bull bullbullbullbull bullbull bull Ycent1R CCNC PtoAft shy0 bullbullbull bull 0 bull bull 0 bull bullbullbull bull bullbullbullbullbullbullbullbullbullbull 0 0 bullbullbullbullbullbullbull bull

80X GPDpound1 D~QI JERGQtf IIS OIIt1 RC DESIGtl Ytl YES

L l$ 01)1)] 2tOCO YU l70 S$0 bullbull

lSSc nu 125 lOO ubull Sl bull - c o 206 oco oo )00

IWt JOrnvE ~ u lU1 ~)U dU 0

0 0 0 c JJO 1 1 llO 1~0

bull Loe raquotebull

-Pogc 5-lt t t Concltcro OesJgnPmgam - ------------ ----shy

bullbull bull bullbullbullbullbullbull bull bull bullbull bull bull

Bridge Computer Manual - September 1994 bull

o o o o o o o o o o o o o o o

l~ ) Sl ~32i9J PADr

bull bull bullbullbullbull 0 bullbullbullbullbullbullbullbullbullbullbullbullbull bull bullbullbullbullbullbullbullbullbullbullbull 0 bullbull0 bullbullbullbullbull bullbull bullbullbull bullbull bull bull bull bull bull bullbull bull 0 0

c~L-t Dtscs F-POlfJI ( RC) FStNrcFCec comatTE ( i ) PA~TltlLY FR1$TRB$8poundD ~) rtJt) lfZSRZ$1)

CAtH10 Lilbull OfiAJlt JXttT OF fVJSPOtto Oti VeRSIC~ 4 060Ji7

o bull o o o o o o o t o o bull o o bull o o o o o bull o o o o o o o

0 bull 0 bull bull 0 bullbullbullbullbullbullbullbullbull 0 bull bullbullbullbull bullbull bullbullbull bullbullbullbullbull bullbullbullbullbullbullbullbull ~bullbull 0 bull

Tt lpound OT ANALSS

COtml SAMltQttl

COtsm~ SZPVICt bull Qt(K =-TROII

mJIQn ~TT COYiR~SJVE $TRE$$ otrwn co~ eGMPR~xvz $1PAAN YOIJ~S HCOUUlS OR CCNCltrt

YoctUS HOOUtus FOR $TEI ~DAA$ Y llD STRESS 10Jt Sftk REBAA$

YOIJHGS ~OS f(gtR t lilC$$ STtt L UTt~pound STRESS fOlt PRampSTilt$$ itt LOIImiddotAT ~~S SEU

laquolXJA~ RAl O Yl LD iTtpound- IampS tcl MODUtAA RAIO iFESTRfSS STEfL ( EP OCJ

bullbull i tc) bull ( ampQ) bull

( te) bull

($ bull

( FSI ~

) bull

fPI

bull

(

o o o o o o o o o o o o o o o o o o o o o o o o o 1 o 1 o

bull 0 bullbullbullbullbullbullbullbullbullbullbullbullbullbull

La 1SI ~ DOl PI DI )~- ~SJ

2900 0 ltSl GO O itSJ

211000 zs 21amp0 X$~

su 8 (2

17 o ~tn

~ gtTAL MMH bull s so n

0 f lAlaquoi t K lCtH IC0 -1 ) bull lS So FT 00 FU~Ct ~IMH I I ) ll 2 Of FLA~amp 1H1ClttampS$

Wrotll (If 11

DltmO ltgt~G ICtK 1~Ct lotlDttl -

bull i 2S rbull

bull 3 00 tT

(cent0tP) 0 21 63 r-r 22 6) ( TC l ) bull

loOlO~ tmiddot~s fl oNSS fl ) n~bull

Ppge 5middot4 2 Concre te Clsign Program

Bridge Computer Manual - September 1994 bull

bullbullbull 0 bull bull bull bullbullbullbull 0 bull bull

0 bullbullbullbullbullbullbullbull bullbull bullbullbullbullbullbullbullbullbullbullbull bull bullbullbull 0 bull bullbullbullbullbullbull bull bullbullbullbullbullbullbull bull bullbullbull bullbullbullbullbullbullbull bullbullbullbull bullbull bullbull bull bull bullbull bullbull bull bull bullbull 0 bull fAA LCC IJU

IIgtT 0 1 00) o oo

tOTAL AAn OF FU11111H Spoundt I AP ) bull 0 00 so~~ o1n fllCie nt KTrC TO cc or rcsngtss nac oo ~

bull bullbull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull 0 bullbullbullbull bullbullbullbull bullbull bull bull bullbullbullbullbullbullbullbull 0 0 bull bullbullbull bull

LOAD PlllB bull MAX PODMVt ~ittr

mAl ~lY

AJamp iibullMAX l middot lVol ~ ~r

UAbull I1 ~J ( U ( Lo (Omiddot fimiddotMI)MJ M~r U10 iU 7 bull lJi 4Ul 0 0

0 0 0 o 0 1fkS 1)0 1 l7 1( lU ~

OCO KIPS

bullbull0 bull 0 0 0 0 bullbullbull

bull bull

Yl~ ltbull t tJI Mmiddot Stil HbullPAC Pbull PAC

4)1f ~~(4 10 ucu-= bullbullUlL 0 c

ampCAD CJOI4)0tlaquoC$

Hbull S eP bull bull lUX) bull IOmiddottlaquotCI ( SmiddotYOH)

Xhl Hbull BER lfHlH) UH tru t bull rAX Ubull FA bull l JO J 401) 20 bull Ul ~) Oil X co~m~bull lOJ X tbullbullMC() KAJr P bullbullA bull I H X ttbull 30 bull t P~KAXI 1 00 X ro Ci) X IImiddot~middot

PtJge 5~ 13

bullbullbull

Bridge Computer Manual - September 1994 bull

bull bull

bullbullbullbull bullbull bullbull bullbull bullbullbullbullbull

Sbull U bull tiiRVlCt S~SO IN aD Sltt IMJ 1-AX IIbullSIftl t aACX cotmtOI

Ibull AI bull FAflOUE $11EIS lN Kl l) SlCEI US) UWC IN KbullIIK) HbullFAC bull Hmiddot FACrof10 HQNJlT PbullPAC bull PbullfACTCRCD H~T HIN1 bull tttlriUI RJtiIFMCE~ClII 1 11 1 1 1

liASto ON l 2 X ni CAAtUiC HMrt IW O bull M4lIP Ql YDlt-nfV11 ~IIJ~DGYr (ll7 12J

lMJ) 0amp Ti2t AApound1 lttJC tKDUgt G~t TlOrti ~FOUUD lit ANoLrS l S MAX bull ~M ru~~RCDCell (1 1() 1)

liASO o $ I e~CC) S1ttl ltATO

OU TJC2 f1tQK ~ COKtGS r-ll U ta TO tDrUL Utabull At-ntm - na uoc1am CPAC~ ~ tJ- f) tJO a 1

bullbull - 1 59 i53 nt7 con 10 t n ) 4 middot _HbullFAC I IB 2 )) IOCl PmiddottAr 132 1 50 tau u u ))

10 H~l tOl 07 S~2 171t bullbull ) )j10 i U 1SU nss -middot 10 2 26 ~ Cl amp (02~2 1SO C4

0 bullbull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbullbullbull 0 0 bullbullbull 0 bullbullbullbull bull bull bullbull bull bull bullbullbull bullbull comot ~~10 G)l 2 gt0 U il t i U ))

U1lHAt Hlllaquol1 CAJACtt _ fOAl ora MAlf ClT OCT 7 1gtlt TO- I HCICtlT Ju an n bull ~Au CAIACJY

( JO II) 110 H I) ( 1( OJ lS~ D ~ ~QU U~Tt) U NI

COI u t J e~~ U 9 oc ~ OIC lll ) ) n ~ ttOJ lOl ns bullbullbull 111

~Ul~ 1 1

1 T( t M U7 bull bull U)l lClmiddot IJl Ofll ll bullbullbull 2)l1 ese

Conrtee Design Program

bullbullbull

bullbull

Bridge Computer Manual - September 1994 bull

bullbullmiddotmiddotmiddotmiddotmiddotmiddot middotbullmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot bullbull middotmiddotmiddot middotmiddotmiddot middot middotmiddotmiddotbullbullmiddotbullbullmiddotmiddotmiddotmiddotmiddot middotmiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotbullmiddot middotbullmiddotbullmiddotmiddot middotbullbullbullbullbullmiddotmiddotbullmiddotbullmiddotmiddotbullmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotbullmiddot bullmiddotbullmiddotmiddot

uoucrn GICU fIWlsrot~ TIWfliOliltQ ( fTbull bulln 52 0 n 4

lrttiTU ( fT bullf J Ul t 2 U S S79 ( 1gtl) Hl 2 1 = bullbullbullYNA t iN) Ul ll

Lo-o~am ~-o OUXID GJiOlS ~~ lMHSICliiCD

- t tFpoundSDt - t t-~~ - - lnUtiJU - r 10AD 11 0 IOlr((( TOP ~ 10t ~

40) l Sf fttl 602 0

(1 S X SQ~T ret bull 21 PSI

Ym bull OJSgt~ fJtllil ~~SlCM Ftlat TO~ Cl ~JITt

e) bull jJ3~ BOH IXQXI ~UUfof YtA 1C ~ AXt f bull l bull DiSllaquot (middotI = ~SOH

Conctco Design Prormm Paglt1 5middot4 15

--- -

bullbullbullbullbullbullbullbull Bridge Computer Manual - September 1994 bull

bull bullbull bullbull bull bull bull bull bullbull bullbullbullbullbullbullbullbullbullbullbullbull 0 bullbull

0 bullbull bullbullbull bull bullbullbullbullbullbullbullbullbullbull bullbull bull bullbull bull bullbullbullbullbull bullbull bull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbull 0 bullbullbull bull bullbullbull 0 bullbull bullbullbullbull bullbullbull0 bullbull bull bull

bull~DtVlcamp-t-rAnacq-

fAA ~ KU ~liJW rQtl ~4001 au JtllO ~ SJIi SIU Qolt ~ISS $UU kAlaquoJIpound RAQ t Ph SiACS nua uu octc

t~l ~lSu us1 CJtll I ll ) f Nl C~ DCJ triO

221 21 0 ) t) aot 6249 SiS sc lS SmiddotAS li 4 5 uu l 1 12 61 00 u u u a 11 SmiddotAS 31 e )])$ 1)11 1744 lll nu 10 P-PM llJl n u 1) 2) ll l) U 22 S ll lt( U bull P- Jt l tc u oc uu nn U ll 650 4 Lf0 bull fbullTA nti )i 00 U Lt 1121 ll~ s u 4 55 imiddotbullfAC u o )6 0) au ll 2 ) n u )Jl u u Pbullf u ts H Co Jt 112 (3 50 l t-t u bull l

PAC exES

1 bull JJ SAt m US 7U~ HI AAn10 Ml)nctbS (t2l ) raquo Sigt~ Ipound$1 7MAf TKE ~ cAlOlVIS KItllHJiot (P gtU C1)WI ltCirOQ K~ nLo 1(1 UIHlO MlXldJM I S 1 bull (t-201

Pbullgos-4 JG

bull bull bull bull bull bull

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

Example Problem 2

Bent Csp Design

Determine the amount of tension reinforcement r~ed Jn a ~t cap for maximum negative momml considering fotigue and crack control crllorlo

Service Load Dolo DoadLoad H bull Lltgtad P middotLoad

(OL) (Ll+l) (LL+I)

Mu moment -2 146 -706 middot2155 Min moment 0

~ ~6 ~18- _1~

Ibull bull bull bull bull bull bull bull bull bull t -1- 7 i6 Oigtor bar$

(tronsvorso deck sleel) 1- ~1 1 Main Bars

I 11 I

Cap-Section sa bullbull 2

Page 5middot-lt 7 Concl6ttt Design Pagram ------------------shy

bull bull bull

bullbullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

bull bull bull bullbull bullbullbullbullbullbullbullbullbull bull bull bullbullbull bull bull bullbull bull 0 bullbullbullbullbullbullbull bull bull bull

YOtIR ~ Fni)IAi IS OmltA7 CIJ OZSJC~ NH RtlSaRSamp ~ SEit vtl ON eGo t7

OampSJQlt iS= )25 001)) 29000 bullo lO sso bullo iOo- 8 2 5 ( 00 1(middot0 00 middot YAlP 0 11 ltU 1 (1 00 orm 7 2 00 1 coo 0 00 0 01

IOXl~m NCITt~ HO~T

-214 - lCli bull middot2SS bull0 0 0 lll 211 llO lCO 090

Page 5middot4 8

Page 4: Chapter 5-Reinforced Concrete - Caltrans · Box Girder Design ... equilibrium of internal stresses and compatibility of strains. ... mode, the designorenleJo thenumb

---

bullbullbullbullbullbullbullbull Bridge Computer Manual -September 1994 bull

Input Panels

TTipound

IRC unrroatD cowr~ fPP) lAATtltl Y RESlUSSEC

IPI Fl1ttY pound-~SlRSSto

tYPpound omiddot s-Rubulln

tCil~

COt$gt~ PATlGVpound1 Ccent1lSIgtD ttRVCpound - cucK ~middotnCL

~tIKAT ~ COKPUSSIl SWSS W1MAl ~ COtlPZSSI4 SlVrl

fPCJ(traquol

YOUbullCS WIXIWS 10~ S1Ul tt3AAS lUl i ItJgt ~poundS$ roR Stt RfaAAS tfSl

ULTIMitt trIUS Oft iUS~SS snt CZ70l$0) ltFP) LOW- lX USTU~U sn=t iJ$lOgt pound1llcent)eurotAJ PACtOit FUR owC QONIIOL

fiiUIm nATo

TOTV Dinfl

TOP Pt-l~E ITFampCIVt WDr-1 (laquoJJQgt) 10f PLV~rpound poundffIX1lIS 074 iTCI) TOP Pt-QI TRICIQlts$

WIDTK centP ttS

~4 LAoroZ ffpoundCrr-n WDH llCnltA4 nrm poundFfttTrrt rtcH IOIC~ ttllOE 7Kl01ESS

NOTpoundS

UICPPIFP)

Cflt CHtceS)

( pound$(~)

(~amp$HCIJ

( tt

bull bull bullbull

(COKP) ( Tal)

bull

c

bull

bull =

bullbull = bull

bull a

--------

- - shy vnbull KSi lltSt

-- shy

PIt

n middot lT

1 FM IC1AraquoGIUA $HAJgtO 3raquo~ ~ roTA OtfTt () lgtltmi CP 1lt8 Ott Y 2 fOR Epound$ ~ 701-1 ltM-i bullumt OF ~tS lJQ Of 0~ JOMM rL-centt

OttA cmY l F~~ tlA~to ltAt~ THE msl~ ~m 14tlIF gteJAutTS TO vS Q01Pftamp$$0t

JLJt-(l WlDTH

Ptlgc 5-42 Concrete Ocsigrt P10gram

-- - - - - ----- - - - - ---- - -- - -- - -- - -- - -- - - -- --- - - - - --- --- - - - - --- --- -- - - -

- - -

Bridge Computer Manual - September 1994 bull

ST~L DtT IE3Jl WlJ COVA 80hgtL QC UiEfl ~AA$ zt tnJ PAn~ AIGE

--

TOTM AAamp OF PRESITRt3S SrL bull =~ Jl

DSWCpound fJt~ SOH OtStciotf TO C C or PRESTUSS SJL (DS) bull m

i nmtt pi1tR)J 1 bull l

1 l AM VD1llt)l bAAS V~ZOUtU 2

$iiVlQ LOAD OAT~ (U-M)

LOW ll(pound

HAT ~ s ECOf-)Arr OfI) tOoP HmiddotLOAD HmiddotLOgtgt P-tOAb ~~

~r xi~ --

-~ iEVJCTlOtl fMTOJI ( PHI)

REStPSS foMa ~ AU vss~s middot-- KiiSrw~ I FF) bull

NO)i$ bull lEIOATivt t-gt YMQl7 C)OSe$ mtSlO~ AT Oi C1 SIXI~l

2 P)STlVT tbull l MOOm CAIJSFS ~~C~ 1 80IQi OY $poundCTJC~l l OtNMUY Y~ IS tiS~ Of FAIl((B AWLYSIS

Concrete Design Program PagoS-43

bull bull bull bull bull bull bull bull

bullbullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

General Description

r Etred ive width Tension - compcessfon Top ether bars

~L__--====+-- bull Top mmnbars

1--- Woll ~1lt11h

Bonom main bars

bull ~I bull bull bull bull bull bull bull bull o

~I I Boa1om Other 8 Tension- compre$$ion bars

Effeelive width

Input Panel Instructions

GenersJ Oats Panel

Title

Enter a maximum of 40 alphanumeric charac-tersto identify your problem

Type Of Structure

Reinforced Coocrete (RC)

Strenglh design method and serviceability criteri1as outlined in the code

Fully Prestressed (FP)

Cwrent Cal trans design specifications require zero tension in the concrete under full

dead load but allow some tension (6 x ff)Mdcr fuU service load The section is still considered uncrackcd and is designed using gross sect-ion p roperties and traditional equations of mechanks

Pagb 5middot44 Conetete Oampsign Progr~m

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

Partially Prestressed (PP)

The rend in current design pradice is to panally prewess structures by combining (uUy stressed tendons with mHd steeJ reinforcement allow 4 x [f tension in the ooncrete Ulldcr full dead load and allow the section to crack Ullder full serva load and sotisfy ultiJNte strength and sotvleeability oiteria Partially pmtrHsed membltrs are dKigned using the same crack width and mild steel fatigue limitations as reinforced concrete Maximum semeestress in the prestress steel alter osseo is limited to 80 of yield stross For low lax and normal 7-strnnd prestressing strand the yield stress is equal to 90 and 83 of the ultimate stress spectivcly

The allowable range between maximum and minimum tensile stress in the prestress steel caused by livc lood plus impact at semee load after losses shall not exceed 22 ksl

For mo detailed Wormation on the dKipgt of partial pncstressed structwu see bull A OSign Procedure for Partial Prestressing of Concrote Box-Gilder Bridges by Steve McBride (SASA- 227middot8268)

Type Of Anatyels

Enter the typeofanai)Sis DESIGNor CHECK The default is DESIGNInboth the DESIGNand OIECKmode the program computes the numbltrofMAII temionb1rs requlndln CHECK mode the designorenleJo thenumbltr of MAIN tension bats theprogrun makes aoomparison to the number of MAIN leNion~computedatld prints an appllcablt OK or NG

The program prints a table of finalsults containing a stress analysis lor cracllt control and fatigue requirements In the DESIGN mode the otress analysis is based on the area ofsteel required for different bat slus In Ow CHECK mode the stress -ItSis Is based on the area of steel and bar size input

Consider Fatigue (Code 81683) (YesNo)

EnterYEStoCOISider CaUgue or NO to neglectitTheprogrun will calculate thestmsraJge between maximum tensionstressand minjmum stressin thesmiddotteel barsclosest to lhrexrreme tension fibltr caused by live load plus impact at the servlt level Ar area of steelmiddotis determined sotlult thestreM range isequal to theallowabl tress rangeThe default isYES

Note that fatigue is chedtdat point of load application Tiw d~igncr is ~ponsibk for Jssuring fatigue compllltrtce at other S-frCtions tlvou_ghout the span GerleraUy this is at locations where bars a re terminated (cui off)

Consider Crack Control (Code 81684) (YesNo)

Enter YES to consJder crock control or NO to neg~t it At setvice level an atea or steel is determined so that theapplied tess cqu1l the aUowabestrru The aDowlblestress~ds on the rumhcr size and spildng o the baro the eovltr from the extreme ~ion fibor of tho concrete tO the celte-r of the bar located dOeSt to the cxtrem~ ttiSion fiber the area ofconcrete in tensionhanr the same centroid as tho barbeingcon-idered (ortheCG nfbull group olbm) and the accepfJible cracllt htdth (environmental Z foetor~ Toe default is YES

CotlcretB DJJMign ProgrJm bullobull smiddotbulls

bullbullbullbullbullbullbullbull Bridge Compute r Manual - September 1994 bull

Ultimate Concrete Compressive Stress

Enter the ultimate concrete compressive S1Tength (ksi) The default is value 325 ksi

Ultimate Concrete Compressive Strain

Enter the ultimate concrete compressive strain (in in) The default value is 003 inin

Youngs Modulus for Steel Rebars

Enter Youngs modulus for the steel rebars (lltlti) The defult value is 29000 ksi

Yield Stress of Steel Re bar

Enter the yield stress (tltSi) of the steel rebar The default is 60 ksi

Ultimate Stress for Prestress Steel

Enter the ultimate stress for prestress steel The default is 270 ksi

Low Lax Prestress Steel

Enteryesor no The yield stress (11 ) for low middotlax strmd iscalculated as 90 times theultimate stress (I) Fornormal strnndtheieldstress(17) iscalcuJated as 85t imes theultimatestress (f)

Environmental Factor (Code 81684) (Z)

Entertheenvironmental factOr Z (kin) This is the Z factor used in the craclc controlchedlt The default is 170 kin

Structure Data Panel

Total Depth

Enter the total member depth (fl)

Top Flange EHective Width (Comp)

Enter the effective width of the Jlange when the top goes into compression (Code 810)

Top Flange Effective Width (Ten)

Entltr the eflective width of the flange when the top goes into tension (Code 8172)

Top Flange Thickness

Enter thickness of top lange (in)

P~gc 5middot46 Concrcttt Doslgn Pmgram

bullbullbullbullbullbullbull Bridgo Computer Manual - September 1994 bull

t1llt1rrnl

Width of Web

Enter width of web (ft )

Bottom Flenge EHecllve Width (Comp)

Enter the effective width of the flange when bollom goe$ into compsslon (Code 810)

Bottom Flange EHeclive Width (Ten)

Enter the effective width of the flange when the bottom goes Into lension (Code 82)

Bottom Flange Thickness

Enter the thiclness ofboll om flange (in)

Notes

Since themiiXilnum and minimum appUed moments for the fatiguecheck may be oppDltSite In$lgn the effective compression and tltNon flange width for both the top and the bottom of the section is nquired

By providing theeffective COD1pn1SSionand tension lAnge width for both thetop and bottom of the section the user can design the section for positive moment on one IW then deJign the ltdionfor negatnmiddote rnament on the lIXt run without having to lthange the stnocture data

For rectnngular beams enter the total d epth and width ofweb only

For T-beams enter total depth width of web and top or bortom Iango data only

For flanged beams the tension flange width defaults to the complte$sion flange width

ReiJar Data Panel

Rebar Location

EnlulOGltionofthe regtarTOPorBOT TOPindgtes thatthetebllrawer lsmeasutltd fromthe top of thesection BOTindicates that the rcbnrcovvismeasured from thebottom of the section

Rebar Layer

Enr the type of rebar layer MAll01 oniER The designer must enter at least one MAIN tcnsionrebar layer MAIN tndlcates the rcbor layelt that is to be diJllgted orchecllted Onlyone MAIN rebv layer is allowed at the top and bottom of the section If the applied moments aro positibullY the of $1tcl for the bottom MAll rebar la)er w11 be determined U the appUed momLlt are negative the area of steel for the top MAIN rebar Ioyer will be detcnnined

OTHER rebar Uybullrs considered in thi design but their bullrea of steel is held COI$tl~l These btmiddotus may be in eitier comprC$Slon or tenston depe-nding on their lOCAtion and the applied mornent Up to 6 OTHER rebar layers are allowed

~~bull~nP~mm ----------------------------------- shy

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

t1rlfrans

Total Bars

Enter total number of bars in the layer Since the program computes the riwnber of MAIN tension rebars required the numberofrebars in theMAIN tension layer should beleftblank inDESIGNmodelfthe number of MAIN bars is entered and they go into compression they will be considered as compression steel middot

In the CHECK mode the designer must enter the number of rebars _in the MAINtension layer Always enter the total number of bars in OTHER layers

Bar Size

Enter the Bar sjze

Cover

Enter the distance from the TOP or BOT of the section to the outsid~ of the rebar (in)

Bundle Pattern

Enter a 1 for single bars Enter 2V for two bars bundled in a vertical pattern Enter 2H for two bars bundled in a horizontal pattern

Skew Angle

MAINbarsmaynotbeskewed Only OTHER bars (transverse deck reinforcement) are allowed to be skewed The programcomputes aneffective steel area bymultiplying the actual area of the barsbythe cosine of the skew angle Note byprovidingboththeTOPand BOT MAIN steel the user can design the section for positive moment on one run then design the section for negative moment on the next run without having to change the rebar data

Total Area Of Prestressing Steel

Enter the area of prestressing steel (sq in)

Distance From Bottom Of Section To CG Of Prestress Steel

Enter the distance from the bottom of section to center of gravity of the prestressing steel (in)

Service Load Data Panel

Load Title

Enter a maximum of 40 alphanumeric characters to describe the load

Dead load Moment (DL)

Enter the moment due to dead load (k-ft)

Page 5-48 Concrete Design Program

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

+Load Moment (Ll+l)

Enltrlhemaldmumarominimum~due tostlnlbrclHS-2lltruck impact loadlng (k-It~

PmiddotLoad Moment (LL+I)

Enter the miiXimum moment dwgt to CALTRANS Pennil truck + impact loading (kmiddotfl)

ForPmiddotLoads on clOSltl) spaced girders (PC) used only for superstructures (ie box girders) input the Pmiddot Load for the number of lanes loaded

For widely spaced girders (PW) and subslTuctures (ie bltnt cap) input the P-Load as 115 limes orte lane ofI load (115P) or input 11Slimes one lane of P load plus one laneof H load (IISP + H) which ever controls

Other Moment

Enter any other momet you want to consider (kmiddotft)

Secondary Moment

Enttr prestrti$ing secondary momenL (kft)

Axial Loads

Enter the corresponding axial loads for DEAD LOAD HmiddotLOAO PmiddotLOAD and OTHER LOAO (k)

Load Factors

Enter the appropriate load factors for DEAD LOAD H-LOAD P-LOAO and OTHER LOAD TIbulle default values are 130 217 130 nnd 130 respectively

Strength Reduction Factor

Enterstrength reduction factor for bltnding Default Is 90 for reinforced concrete (RC) and 95 for fully preswssed (FP) and partiaUy prestressed (PP) membltrs

Flnal Prestress Force After All Losses

Enter the final prestress force after all losses inkipt

Notes

Nlarive (middot)moment causes wnslon In the top therefore there must be a ~tlN rebarla)buller at the top oi the section

Posmv~ (+) mom~nt causes tension in the bonom therefore there must be a MAL rebar Jaytr (It the bottom of the section

Minimwn moment is used for the fatigue an_lysls

Pags 5middot49 Cooetftbull Design Program -----------------shy

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

liztrans

Example Problem 1

Box Girder Design

Determine the amount of tension reinforcement required ina box girder for maxim tun positive moment considering fatigue and crack control criteria

Service Load Data Dead Load H- Load P - Load

(DL) (LL+I) (LL+I)

Max moment 4270 2447 4693 Min moment -326

112 -Typical Section

Symmetrical about ~

--- 4 bull fllrets -z_ = ~ shyin

~ If)

co

3-1 2-3 7-8 4-9

17-9

Page 5-410 Concrete Design Program

Bridge Computer Manual - September 1994 bull

bull bullbullbullbull bullbull bull Ycent1R CCNC PtoAft shy0 bullbullbull bull 0 bull bull 0 bull bullbullbull bull bullbullbullbullbullbullbullbullbullbull 0 0 bullbullbullbullbullbullbull bull

80X GPDpound1 D~QI JERGQtf IIS OIIt1 RC DESIGtl Ytl YES

L l$ 01)1)] 2tOCO YU l70 S$0 bullbull

lSSc nu 125 lOO ubull Sl bull - c o 206 oco oo )00

IWt JOrnvE ~ u lU1 ~)U dU 0

0 0 0 c JJO 1 1 llO 1~0

bull Loe raquotebull

-Pogc 5-lt t t Concltcro OesJgnPmgam - ------------ ----shy

bullbull bull bullbullbullbullbullbull bull bull bullbull bull bull

Bridge Computer Manual - September 1994 bull

o o o o o o o o o o o o o o o

l~ ) Sl ~32i9J PADr

bull bull bullbullbullbull 0 bullbullbullbullbullbullbullbullbullbullbullbullbull bull bullbullbullbullbullbullbullbullbullbullbull 0 bullbull0 bullbullbullbullbull bullbull bullbullbull bullbull bull bull bull bull bull bullbull bull 0 0

c~L-t Dtscs F-POlfJI ( RC) FStNrcFCec comatTE ( i ) PA~TltlLY FR1$TRB$8poundD ~) rtJt) lfZSRZ$1)

CAtH10 Lilbull OfiAJlt JXttT OF fVJSPOtto Oti VeRSIC~ 4 060Ji7

o bull o o o o o o o t o o bull o o bull o o o o o bull o o o o o o o

0 bull 0 bull bull 0 bullbullbullbullbullbullbullbullbull 0 bull bullbullbullbull bullbull bullbullbull bullbullbullbullbull bullbullbullbullbullbullbullbull ~bullbull 0 bull

Tt lpound OT ANALSS

COtml SAMltQttl

COtsm~ SZPVICt bull Qt(K =-TROII

mJIQn ~TT COYiR~SJVE $TRE$$ otrwn co~ eGMPR~xvz $1PAAN YOIJ~S HCOUUlS OR CCNCltrt

YoctUS HOOUtus FOR $TEI ~DAA$ Y llD STRESS 10Jt Sftk REBAA$

YOIJHGS ~OS f(gtR t lilC$$ STtt L UTt~pound STRESS fOlt PRampSTilt$$ itt LOIImiddotAT ~~S SEU

laquolXJA~ RAl O Yl LD iTtpound- IampS tcl MODUtAA RAIO iFESTRfSS STEfL ( EP OCJ

bullbull i tc) bull ( ampQ) bull

( te) bull

($ bull

( FSI ~

) bull

fPI

bull

(

o o o o o o o o o o o o o o o o o o o o o o o o o 1 o 1 o

bull 0 bullbullbullbullbullbullbullbullbullbullbullbullbullbull

La 1SI ~ DOl PI DI )~- ~SJ

2900 0 ltSl GO O itSJ

211000 zs 21amp0 X$~

su 8 (2

17 o ~tn

~ gtTAL MMH bull s so n

0 f lAlaquoi t K lCtH IC0 -1 ) bull lS So FT 00 FU~Ct ~IMH I I ) ll 2 Of FLA~amp 1H1ClttampS$

Wrotll (If 11

DltmO ltgt~G ICtK 1~Ct lotlDttl -

bull i 2S rbull

bull 3 00 tT

(cent0tP) 0 21 63 r-r 22 6) ( TC l ) bull

loOlO~ tmiddot~s fl oNSS fl ) n~bull

Ppge 5middot4 2 Concre te Clsign Program

Bridge Computer Manual - September 1994 bull

bullbullbull 0 bull bull bull bullbullbullbull 0 bull bull

0 bullbullbullbullbullbullbullbull bullbull bullbullbullbullbullbullbullbullbullbullbull bull bullbullbull 0 bull bullbullbullbullbullbull bull bullbullbullbullbullbullbull bull bullbullbull bullbullbullbullbullbullbull bullbullbullbull bullbull bullbull bull bull bullbull bullbull bull bull bullbull 0 bull fAA LCC IJU

IIgtT 0 1 00) o oo

tOTAL AAn OF FU11111H Spoundt I AP ) bull 0 00 so~~ o1n fllCie nt KTrC TO cc or rcsngtss nac oo ~

bull bullbull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull 0 bullbullbullbull bullbullbullbull bullbull bull bull bullbullbullbullbullbullbullbull 0 0 bull bullbullbull bull

LOAD PlllB bull MAX PODMVt ~ittr

mAl ~lY

AJamp iibullMAX l middot lVol ~ ~r

UAbull I1 ~J ( U ( Lo (Omiddot fimiddotMI)MJ M~r U10 iU 7 bull lJi 4Ul 0 0

0 0 0 o 0 1fkS 1)0 1 l7 1( lU ~

OCO KIPS

bullbull0 bull 0 0 0 0 bullbullbull

bull bull

Yl~ ltbull t tJI Mmiddot Stil HbullPAC Pbull PAC

4)1f ~~(4 10 ucu-= bullbullUlL 0 c

ampCAD CJOI4)0tlaquoC$

Hbull S eP bull bull lUX) bull IOmiddottlaquotCI ( SmiddotYOH)

Xhl Hbull BER lfHlH) UH tru t bull rAX Ubull FA bull l JO J 401) 20 bull Ul ~) Oil X co~m~bull lOJ X tbullbullMC() KAJr P bullbullA bull I H X ttbull 30 bull t P~KAXI 1 00 X ro Ci) X IImiddot~middot

PtJge 5~ 13

bullbullbull

Bridge Computer Manual - September 1994 bull

bull bull

bullbullbullbull bullbull bullbull bullbull bullbullbullbullbull

Sbull U bull tiiRVlCt S~SO IN aD Sltt IMJ 1-AX IIbullSIftl t aACX cotmtOI

Ibull AI bull FAflOUE $11EIS lN Kl l) SlCEI US) UWC IN KbullIIK) HbullFAC bull Hmiddot FACrof10 HQNJlT PbullPAC bull PbullfACTCRCD H~T HIN1 bull tttlriUI RJtiIFMCE~ClII 1 11 1 1 1

liASto ON l 2 X ni CAAtUiC HMrt IW O bull M4lIP Ql YDlt-nfV11 ~IIJ~DGYr (ll7 12J

lMJ) 0amp Ti2t AApound1 lttJC tKDUgt G~t TlOrti ~FOUUD lit ANoLrS l S MAX bull ~M ru~~RCDCell (1 1() 1)

liASO o $ I e~CC) S1ttl ltATO

OU TJC2 f1tQK ~ COKtGS r-ll U ta TO tDrUL Utabull At-ntm - na uoc1am CPAC~ ~ tJ- f) tJO a 1

bullbull - 1 59 i53 nt7 con 10 t n ) 4 middot _HbullFAC I IB 2 )) IOCl PmiddottAr 132 1 50 tau u u ))

10 H~l tOl 07 S~2 171t bullbull ) )j10 i U 1SU nss -middot 10 2 26 ~ Cl amp (02~2 1SO C4

0 bullbull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbullbullbull 0 0 bullbullbull 0 bullbullbullbull bull bull bullbull bull bull bullbullbull bullbull comot ~~10 G)l 2 gt0 U il t i U ))

U1lHAt Hlllaquol1 CAJACtt _ fOAl ora MAlf ClT OCT 7 1gtlt TO- I HCICtlT Ju an n bull ~Au CAIACJY

( JO II) 110 H I) ( 1( OJ lS~ D ~ ~QU U~Tt) U NI

COI u t J e~~ U 9 oc ~ OIC lll ) ) n ~ ttOJ lOl ns bullbullbull 111

~Ul~ 1 1

1 T( t M U7 bull bull U)l lClmiddot IJl Ofll ll bullbullbull 2)l1 ese

Conrtee Design Program

bullbullbull

bullbull

Bridge Computer Manual - September 1994 bull

bullbullmiddotmiddotmiddotmiddotmiddotmiddot middotbullmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot bullbull middotmiddotmiddot middotmiddotmiddot middot middotmiddotmiddotbullbullmiddotbullbullmiddotmiddotmiddotmiddotmiddot middotmiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotbullmiddot middotbullmiddotbullmiddotmiddot middotbullbullbullbullbullmiddotmiddotbullmiddotbullmiddotmiddotbullmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotbullmiddot bullmiddotbullmiddotmiddot

uoucrn GICU fIWlsrot~ TIWfliOliltQ ( fTbull bulln 52 0 n 4

lrttiTU ( fT bullf J Ul t 2 U S S79 ( 1gtl) Hl 2 1 = bullbullbullYNA t iN) Ul ll

Lo-o~am ~-o OUXID GJiOlS ~~ lMHSICliiCD

- t tFpoundSDt - t t-~~ - - lnUtiJU - r 10AD 11 0 IOlr((( TOP ~ 10t ~

40) l Sf fttl 602 0

(1 S X SQ~T ret bull 21 PSI

Ym bull OJSgt~ fJtllil ~~SlCM Ftlat TO~ Cl ~JITt

e) bull jJ3~ BOH IXQXI ~UUfof YtA 1C ~ AXt f bull l bull DiSllaquot (middotI = ~SOH

Conctco Design Prormm Paglt1 5middot4 15

--- -

bullbullbullbullbullbullbullbull Bridge Computer Manual - September 1994 bull

bull bullbull bullbull bull bull bull bull bullbull bullbullbullbullbullbullbullbullbullbullbullbull 0 bullbull

0 bullbull bullbullbull bull bullbullbullbullbullbullbullbullbullbull bullbull bull bullbull bull bullbullbullbullbull bullbull bull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbull 0 bullbullbull bull bullbullbull 0 bullbull bullbullbullbull bullbullbull0 bullbull bull bull

bull~DtVlcamp-t-rAnacq-

fAA ~ KU ~liJW rQtl ~4001 au JtllO ~ SJIi SIU Qolt ~ISS $UU kAlaquoJIpound RAQ t Ph SiACS nua uu octc

t~l ~lSu us1 CJtll I ll ) f Nl C~ DCJ triO

221 21 0 ) t) aot 6249 SiS sc lS SmiddotAS li 4 5 uu l 1 12 61 00 u u u a 11 SmiddotAS 31 e )])$ 1)11 1744 lll nu 10 P-PM llJl n u 1) 2) ll l) U 22 S ll lt( U bull P- Jt l tc u oc uu nn U ll 650 4 Lf0 bull fbullTA nti )i 00 U Lt 1121 ll~ s u 4 55 imiddotbullfAC u o )6 0) au ll 2 ) n u )Jl u u Pbullf u ts H Co Jt 112 (3 50 l t-t u bull l

PAC exES

1 bull JJ SAt m US 7U~ HI AAn10 Ml)nctbS (t2l ) raquo Sigt~ Ipound$1 7MAf TKE ~ cAlOlVIS KItllHJiot (P gtU C1)WI ltCirOQ K~ nLo 1(1 UIHlO MlXldJM I S 1 bull (t-201

Pbullgos-4 JG

bull bull bull bull bull bull

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

Example Problem 2

Bent Csp Design

Determine the amount of tension reinforcement r~ed Jn a ~t cap for maximum negative momml considering fotigue and crack control crllorlo

Service Load Dolo DoadLoad H bull Lltgtad P middotLoad

(OL) (Ll+l) (LL+I)

Mu moment -2 146 -706 middot2155 Min moment 0

~ ~6 ~18- _1~

Ibull bull bull bull bull bull bull bull bull bull t -1- 7 i6 Oigtor bar$

(tronsvorso deck sleel) 1- ~1 1 Main Bars

I 11 I

Cap-Section sa bullbull 2

Page 5middot-lt 7 Concl6ttt Design Pagram ------------------shy

bull bull bull

bullbullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

bull bull bull bullbull bullbullbullbullbullbullbullbullbull bull bull bullbullbull bull bull bullbull bull 0 bullbullbullbullbullbullbull bull bull bull

YOtIR ~ Fni)IAi IS OmltA7 CIJ OZSJC~ NH RtlSaRSamp ~ SEit vtl ON eGo t7

OampSJQlt iS= )25 001)) 29000 bullo lO sso bullo iOo- 8 2 5 ( 00 1(middot0 00 middot YAlP 0 11 ltU 1 (1 00 orm 7 2 00 1 coo 0 00 0 01

IOXl~m NCITt~ HO~T

-214 - lCli bull middot2SS bull0 0 0 lll 211 llO lCO 090

Page 5middot4 8

Page 5: Chapter 5-Reinforced Concrete - Caltrans · Box Girder Design ... equilibrium of internal stresses and compatibility of strains. ... mode, the designorenleJo thenumb

-- - - - - ----- - - - - ---- - -- - -- - -- - -- - -- - - -- --- - - - - --- --- - - - - --- --- -- - - -

- - -

Bridge Computer Manual - September 1994 bull

ST~L DtT IE3Jl WlJ COVA 80hgtL QC UiEfl ~AA$ zt tnJ PAn~ AIGE

--

TOTM AAamp OF PRESITRt3S SrL bull =~ Jl

DSWCpound fJt~ SOH OtStciotf TO C C or PRESTUSS SJL (DS) bull m

i nmtt pi1tR)J 1 bull l

1 l AM VD1llt)l bAAS V~ZOUtU 2

$iiVlQ LOAD OAT~ (U-M)

LOW ll(pound

HAT ~ s ECOf-)Arr OfI) tOoP HmiddotLOAD HmiddotLOgtgt P-tOAb ~~

~r xi~ --

-~ iEVJCTlOtl fMTOJI ( PHI)

REStPSS foMa ~ AU vss~s middot-- KiiSrw~ I FF) bull

NO)i$ bull lEIOATivt t-gt YMQl7 C)OSe$ mtSlO~ AT Oi C1 SIXI~l

2 P)STlVT tbull l MOOm CAIJSFS ~~C~ 1 80IQi OY $poundCTJC~l l OtNMUY Y~ IS tiS~ Of FAIl((B AWLYSIS

Concrete Design Program PagoS-43

bull bull bull bull bull bull bull bull

bullbullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

General Description

r Etred ive width Tension - compcessfon Top ether bars

~L__--====+-- bull Top mmnbars

1--- Woll ~1lt11h

Bonom main bars

bull ~I bull bull bull bull bull bull bull bull o

~I I Boa1om Other 8 Tension- compre$$ion bars

Effeelive width

Input Panel Instructions

GenersJ Oats Panel

Title

Enter a maximum of 40 alphanumeric charac-tersto identify your problem

Type Of Structure

Reinforced Coocrete (RC)

Strenglh design method and serviceability criteri1as outlined in the code

Fully Prestressed (FP)

Cwrent Cal trans design specifications require zero tension in the concrete under full

dead load but allow some tension (6 x ff)Mdcr fuU service load The section is still considered uncrackcd and is designed using gross sect-ion p roperties and traditional equations of mechanks

Pagb 5middot44 Conetete Oampsign Progr~m

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

Partially Prestressed (PP)

The rend in current design pradice is to panally prewess structures by combining (uUy stressed tendons with mHd steeJ reinforcement allow 4 x [f tension in the ooncrete Ulldcr full dead load and allow the section to crack Ullder full serva load and sotisfy ultiJNte strength and sotvleeability oiteria Partially pmtrHsed membltrs are dKigned using the same crack width and mild steel fatigue limitations as reinforced concrete Maximum semeestress in the prestress steel alter osseo is limited to 80 of yield stross For low lax and normal 7-strnnd prestressing strand the yield stress is equal to 90 and 83 of the ultimate stress spectivcly

The allowable range between maximum and minimum tensile stress in the prestress steel caused by livc lood plus impact at semee load after losses shall not exceed 22 ksl

For mo detailed Wormation on the dKipgt of partial pncstressed structwu see bull A OSign Procedure for Partial Prestressing of Concrote Box-Gilder Bridges by Steve McBride (SASA- 227middot8268)

Type Of Anatyels

Enter the typeofanai)Sis DESIGNor CHECK The default is DESIGNInboth the DESIGNand OIECKmode the program computes the numbltrofMAII temionb1rs requlndln CHECK mode the designorenleJo thenumbltr of MAIN tension bats theprogrun makes aoomparison to the number of MAIN leNion~computedatld prints an appllcablt OK or NG

The program prints a table of finalsults containing a stress analysis lor cracllt control and fatigue requirements In the DESIGN mode the otress analysis is based on the area ofsteel required for different bat slus In Ow CHECK mode the stress -ItSis Is based on the area of steel and bar size input

Consider Fatigue (Code 81683) (YesNo)

EnterYEStoCOISider CaUgue or NO to neglectitTheprogrun will calculate thestmsraJge between maximum tensionstressand minjmum stressin thesmiddotteel barsclosest to lhrexrreme tension fibltr caused by live load plus impact at the servlt level Ar area of steelmiddotis determined sotlult thestreM range isequal to theallowabl tress rangeThe default isYES

Note that fatigue is chedtdat point of load application Tiw d~igncr is ~ponsibk for Jssuring fatigue compllltrtce at other S-frCtions tlvou_ghout the span GerleraUy this is at locations where bars a re terminated (cui off)

Consider Crack Control (Code 81684) (YesNo)

Enter YES to consJder crock control or NO to neg~t it At setvice level an atea or steel is determined so that theapplied tess cqu1l the aUowabestrru The aDowlblestress~ds on the rumhcr size and spildng o the baro the eovltr from the extreme ~ion fibor of tho concrete tO the celte-r of the bar located dOeSt to the cxtrem~ ttiSion fiber the area ofconcrete in tensionhanr the same centroid as tho barbeingcon-idered (ortheCG nfbull group olbm) and the accepfJible cracllt htdth (environmental Z foetor~ Toe default is YES

CotlcretB DJJMign ProgrJm bullobull smiddotbulls

bullbullbullbullbullbullbullbull Bridge Compute r Manual - September 1994 bull

Ultimate Concrete Compressive Stress

Enter the ultimate concrete compressive S1Tength (ksi) The default is value 325 ksi

Ultimate Concrete Compressive Strain

Enter the ultimate concrete compressive strain (in in) The default value is 003 inin

Youngs Modulus for Steel Rebars

Enter Youngs modulus for the steel rebars (lltlti) The defult value is 29000 ksi

Yield Stress of Steel Re bar

Enter the yield stress (tltSi) of the steel rebar The default is 60 ksi

Ultimate Stress for Prestress Steel

Enter the ultimate stress for prestress steel The default is 270 ksi

Low Lax Prestress Steel

Enteryesor no The yield stress (11 ) for low middotlax strmd iscalculated as 90 times theultimate stress (I) Fornormal strnndtheieldstress(17) iscalcuJated as 85t imes theultimatestress (f)

Environmental Factor (Code 81684) (Z)

Entertheenvironmental factOr Z (kin) This is the Z factor used in the craclc controlchedlt The default is 170 kin

Structure Data Panel

Total Depth

Enter the total member depth (fl)

Top Flange EHective Width (Comp)

Enter the effective width of the Jlange when the top goes into compression (Code 810)

Top Flange Effective Width (Ten)

Entltr the eflective width of the flange when the top goes into tension (Code 8172)

Top Flange Thickness

Enter thickness of top lange (in)

P~gc 5middot46 Concrcttt Doslgn Pmgram

bullbullbullbullbullbullbull Bridgo Computer Manual - September 1994 bull

t1llt1rrnl

Width of Web

Enter width of web (ft )

Bottom Flenge EHecllve Width (Comp)

Enter the effective width of the flange when bollom goe$ into compsslon (Code 810)

Bottom Flange EHeclive Width (Ten)

Enter the effective width of the flange when the bottom goes Into lension (Code 82)

Bottom Flange Thickness

Enter the thiclness ofboll om flange (in)

Notes

Since themiiXilnum and minimum appUed moments for the fatiguecheck may be oppDltSite In$lgn the effective compression and tltNon flange width for both the top and the bottom of the section is nquired

By providing theeffective COD1pn1SSionand tension lAnge width for both thetop and bottom of the section the user can design the section for positive moment on one IW then deJign the ltdionfor negatnmiddote rnament on the lIXt run without having to lthange the stnocture data

For rectnngular beams enter the total d epth and width ofweb only

For T-beams enter total depth width of web and top or bortom Iango data only

For flanged beams the tension flange width defaults to the complte$sion flange width

ReiJar Data Panel

Rebar Location

EnlulOGltionofthe regtarTOPorBOT TOPindgtes thatthetebllrawer lsmeasutltd fromthe top of thesection BOTindicates that the rcbnrcovvismeasured from thebottom of the section

Rebar Layer

Enr the type of rebar layer MAll01 oniER The designer must enter at least one MAIN tcnsionrebar layer MAIN tndlcates the rcbor layelt that is to be diJllgted orchecllted Onlyone MAIN rebv layer is allowed at the top and bottom of the section If the applied moments aro positibullY the of $1tcl for the bottom MAll rebar la)er w11 be determined U the appUed momLlt are negative the area of steel for the top MAIN rebar Ioyer will be detcnnined

OTHER rebar Uybullrs considered in thi design but their bullrea of steel is held COI$tl~l These btmiddotus may be in eitier comprC$Slon or tenston depe-nding on their lOCAtion and the applied mornent Up to 6 OTHER rebar layers are allowed

~~bull~nP~mm ----------------------------------- shy

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

t1rlfrans

Total Bars

Enter total number of bars in the layer Since the program computes the riwnber of MAIN tension rebars required the numberofrebars in theMAIN tension layer should beleftblank inDESIGNmodelfthe number of MAIN bars is entered and they go into compression they will be considered as compression steel middot

In the CHECK mode the designer must enter the number of rebars _in the MAINtension layer Always enter the total number of bars in OTHER layers

Bar Size

Enter the Bar sjze

Cover

Enter the distance from the TOP or BOT of the section to the outsid~ of the rebar (in)

Bundle Pattern

Enter a 1 for single bars Enter 2V for two bars bundled in a vertical pattern Enter 2H for two bars bundled in a horizontal pattern

Skew Angle

MAINbarsmaynotbeskewed Only OTHER bars (transverse deck reinforcement) are allowed to be skewed The programcomputes aneffective steel area bymultiplying the actual area of the barsbythe cosine of the skew angle Note byprovidingboththeTOPand BOT MAIN steel the user can design the section for positive moment on one run then design the section for negative moment on the next run without having to change the rebar data

Total Area Of Prestressing Steel

Enter the area of prestressing steel (sq in)

Distance From Bottom Of Section To CG Of Prestress Steel

Enter the distance from the bottom of section to center of gravity of the prestressing steel (in)

Service Load Data Panel

Load Title

Enter a maximum of 40 alphanumeric characters to describe the load

Dead load Moment (DL)

Enter the moment due to dead load (k-ft)

Page 5-48 Concrete Design Program

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

+Load Moment (Ll+l)

Enltrlhemaldmumarominimum~due tostlnlbrclHS-2lltruck impact loadlng (k-It~

PmiddotLoad Moment (LL+I)

Enter the miiXimum moment dwgt to CALTRANS Pennil truck + impact loading (kmiddotfl)

ForPmiddotLoads on clOSltl) spaced girders (PC) used only for superstructures (ie box girders) input the Pmiddot Load for the number of lanes loaded

For widely spaced girders (PW) and subslTuctures (ie bltnt cap) input the P-Load as 115 limes orte lane ofI load (115P) or input 11Slimes one lane of P load plus one laneof H load (IISP + H) which ever controls

Other Moment

Enter any other momet you want to consider (kmiddotft)

Secondary Moment

Enttr prestrti$ing secondary momenL (kft)

Axial Loads

Enter the corresponding axial loads for DEAD LOAD HmiddotLOAO PmiddotLOAD and OTHER LOAO (k)

Load Factors

Enter the appropriate load factors for DEAD LOAD H-LOAD P-LOAO and OTHER LOAD TIbulle default values are 130 217 130 nnd 130 respectively

Strength Reduction Factor

Enterstrength reduction factor for bltnding Default Is 90 for reinforced concrete (RC) and 95 for fully preswssed (FP) and partiaUy prestressed (PP) membltrs

Flnal Prestress Force After All Losses

Enter the final prestress force after all losses inkipt

Notes

Nlarive (middot)moment causes wnslon In the top therefore there must be a ~tlN rebarla)buller at the top oi the section

Posmv~ (+) mom~nt causes tension in the bonom therefore there must be a MAL rebar Jaytr (It the bottom of the section

Minimwn moment is used for the fatigue an_lysls

Pags 5middot49 Cooetftbull Design Program -----------------shy

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

liztrans

Example Problem 1

Box Girder Design

Determine the amount of tension reinforcement required ina box girder for maxim tun positive moment considering fatigue and crack control criteria

Service Load Data Dead Load H- Load P - Load

(DL) (LL+I) (LL+I)

Max moment 4270 2447 4693 Min moment -326

112 -Typical Section

Symmetrical about ~

--- 4 bull fllrets -z_ = ~ shyin

~ If)

co

3-1 2-3 7-8 4-9

17-9

Page 5-410 Concrete Design Program

Bridge Computer Manual - September 1994 bull

bull bullbullbullbull bullbull bull Ycent1R CCNC PtoAft shy0 bullbullbull bull 0 bull bull 0 bull bullbullbull bull bullbullbullbullbullbullbullbullbullbull 0 0 bullbullbullbullbullbullbull bull

80X GPDpound1 D~QI JERGQtf IIS OIIt1 RC DESIGtl Ytl YES

L l$ 01)1)] 2tOCO YU l70 S$0 bullbull

lSSc nu 125 lOO ubull Sl bull - c o 206 oco oo )00

IWt JOrnvE ~ u lU1 ~)U dU 0

0 0 0 c JJO 1 1 llO 1~0

bull Loe raquotebull

-Pogc 5-lt t t Concltcro OesJgnPmgam - ------------ ----shy

bullbull bull bullbullbullbullbullbull bull bull bullbull bull bull

Bridge Computer Manual - September 1994 bull

o o o o o o o o o o o o o o o

l~ ) Sl ~32i9J PADr

bull bull bullbullbullbull 0 bullbullbullbullbullbullbullbullbullbullbullbullbull bull bullbullbullbullbullbullbullbullbullbullbull 0 bullbull0 bullbullbullbullbull bullbull bullbullbull bullbull bull bull bull bull bull bullbull bull 0 0

c~L-t Dtscs F-POlfJI ( RC) FStNrcFCec comatTE ( i ) PA~TltlLY FR1$TRB$8poundD ~) rtJt) lfZSRZ$1)

CAtH10 Lilbull OfiAJlt JXttT OF fVJSPOtto Oti VeRSIC~ 4 060Ji7

o bull o o o o o o o t o o bull o o bull o o o o o bull o o o o o o o

0 bull 0 bull bull 0 bullbullbullbullbullbullbullbullbull 0 bull bullbullbullbull bullbull bullbullbull bullbullbullbullbull bullbullbullbullbullbullbullbull ~bullbull 0 bull

Tt lpound OT ANALSS

COtml SAMltQttl

COtsm~ SZPVICt bull Qt(K =-TROII

mJIQn ~TT COYiR~SJVE $TRE$$ otrwn co~ eGMPR~xvz $1PAAN YOIJ~S HCOUUlS OR CCNCltrt

YoctUS HOOUtus FOR $TEI ~DAA$ Y llD STRESS 10Jt Sftk REBAA$

YOIJHGS ~OS f(gtR t lilC$$ STtt L UTt~pound STRESS fOlt PRampSTilt$$ itt LOIImiddotAT ~~S SEU

laquolXJA~ RAl O Yl LD iTtpound- IampS tcl MODUtAA RAIO iFESTRfSS STEfL ( EP OCJ

bullbull i tc) bull ( ampQ) bull

( te) bull

($ bull

( FSI ~

) bull

fPI

bull

(

o o o o o o o o o o o o o o o o o o o o o o o o o 1 o 1 o

bull 0 bullbullbullbullbullbullbullbullbullbullbullbullbullbull

La 1SI ~ DOl PI DI )~- ~SJ

2900 0 ltSl GO O itSJ

211000 zs 21amp0 X$~

su 8 (2

17 o ~tn

~ gtTAL MMH bull s so n

0 f lAlaquoi t K lCtH IC0 -1 ) bull lS So FT 00 FU~Ct ~IMH I I ) ll 2 Of FLA~amp 1H1ClttampS$

Wrotll (If 11

DltmO ltgt~G ICtK 1~Ct lotlDttl -

bull i 2S rbull

bull 3 00 tT

(cent0tP) 0 21 63 r-r 22 6) ( TC l ) bull

loOlO~ tmiddot~s fl oNSS fl ) n~bull

Ppge 5middot4 2 Concre te Clsign Program

Bridge Computer Manual - September 1994 bull

bullbullbull 0 bull bull bull bullbullbullbull 0 bull bull

0 bullbullbullbullbullbullbullbull bullbull bullbullbullbullbullbullbullbullbullbullbull bull bullbullbull 0 bull bullbullbullbullbullbull bull bullbullbullbullbullbullbull bull bullbullbull bullbullbullbullbullbullbull bullbullbullbull bullbull bullbull bull bull bullbull bullbull bull bull bullbull 0 bull fAA LCC IJU

IIgtT 0 1 00) o oo

tOTAL AAn OF FU11111H Spoundt I AP ) bull 0 00 so~~ o1n fllCie nt KTrC TO cc or rcsngtss nac oo ~

bull bullbull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull 0 bullbullbullbull bullbullbullbull bullbull bull bull bullbullbullbullbullbullbullbull 0 0 bull bullbullbull bull

LOAD PlllB bull MAX PODMVt ~ittr

mAl ~lY

AJamp iibullMAX l middot lVol ~ ~r

UAbull I1 ~J ( U ( Lo (Omiddot fimiddotMI)MJ M~r U10 iU 7 bull lJi 4Ul 0 0

0 0 0 o 0 1fkS 1)0 1 l7 1( lU ~

OCO KIPS

bullbull0 bull 0 0 0 0 bullbullbull

bull bull

Yl~ ltbull t tJI Mmiddot Stil HbullPAC Pbull PAC

4)1f ~~(4 10 ucu-= bullbullUlL 0 c

ampCAD CJOI4)0tlaquoC$

Hbull S eP bull bull lUX) bull IOmiddottlaquotCI ( SmiddotYOH)

Xhl Hbull BER lfHlH) UH tru t bull rAX Ubull FA bull l JO J 401) 20 bull Ul ~) Oil X co~m~bull lOJ X tbullbullMC() KAJr P bullbullA bull I H X ttbull 30 bull t P~KAXI 1 00 X ro Ci) X IImiddot~middot

PtJge 5~ 13

bullbullbull

Bridge Computer Manual - September 1994 bull

bull bull

bullbullbullbull bullbull bullbull bullbull bullbullbullbullbull

Sbull U bull tiiRVlCt S~SO IN aD Sltt IMJ 1-AX IIbullSIftl t aACX cotmtOI

Ibull AI bull FAflOUE $11EIS lN Kl l) SlCEI US) UWC IN KbullIIK) HbullFAC bull Hmiddot FACrof10 HQNJlT PbullPAC bull PbullfACTCRCD H~T HIN1 bull tttlriUI RJtiIFMCE~ClII 1 11 1 1 1

liASto ON l 2 X ni CAAtUiC HMrt IW O bull M4lIP Ql YDlt-nfV11 ~IIJ~DGYr (ll7 12J

lMJ) 0amp Ti2t AApound1 lttJC tKDUgt G~t TlOrti ~FOUUD lit ANoLrS l S MAX bull ~M ru~~RCDCell (1 1() 1)

liASO o $ I e~CC) S1ttl ltATO

OU TJC2 f1tQK ~ COKtGS r-ll U ta TO tDrUL Utabull At-ntm - na uoc1am CPAC~ ~ tJ- f) tJO a 1

bullbull - 1 59 i53 nt7 con 10 t n ) 4 middot _HbullFAC I IB 2 )) IOCl PmiddottAr 132 1 50 tau u u ))

10 H~l tOl 07 S~2 171t bullbull ) )j10 i U 1SU nss -middot 10 2 26 ~ Cl amp (02~2 1SO C4

0 bullbull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbullbullbull 0 0 bullbullbull 0 bullbullbullbull bull bull bullbull bull bull bullbullbull bullbull comot ~~10 G)l 2 gt0 U il t i U ))

U1lHAt Hlllaquol1 CAJACtt _ fOAl ora MAlf ClT OCT 7 1gtlt TO- I HCICtlT Ju an n bull ~Au CAIACJY

( JO II) 110 H I) ( 1( OJ lS~ D ~ ~QU U~Tt) U NI

COI u t J e~~ U 9 oc ~ OIC lll ) ) n ~ ttOJ lOl ns bullbullbull 111

~Ul~ 1 1

1 T( t M U7 bull bull U)l lClmiddot IJl Ofll ll bullbullbull 2)l1 ese

Conrtee Design Program

bullbullbull

bullbull

Bridge Computer Manual - September 1994 bull

bullbullmiddotmiddotmiddotmiddotmiddotmiddot middotbullmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot bullbull middotmiddotmiddot middotmiddotmiddot middot middotmiddotmiddotbullbullmiddotbullbullmiddotmiddotmiddotmiddotmiddot middotmiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotbullmiddot middotbullmiddotbullmiddotmiddot middotbullbullbullbullbullmiddotmiddotbullmiddotbullmiddotmiddotbullmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotbullmiddot bullmiddotbullmiddotmiddot

uoucrn GICU fIWlsrot~ TIWfliOliltQ ( fTbull bulln 52 0 n 4

lrttiTU ( fT bullf J Ul t 2 U S S79 ( 1gtl) Hl 2 1 = bullbullbullYNA t iN) Ul ll

Lo-o~am ~-o OUXID GJiOlS ~~ lMHSICliiCD

- t tFpoundSDt - t t-~~ - - lnUtiJU - r 10AD 11 0 IOlr((( TOP ~ 10t ~

40) l Sf fttl 602 0

(1 S X SQ~T ret bull 21 PSI

Ym bull OJSgt~ fJtllil ~~SlCM Ftlat TO~ Cl ~JITt

e) bull jJ3~ BOH IXQXI ~UUfof YtA 1C ~ AXt f bull l bull DiSllaquot (middotI = ~SOH

Conctco Design Prormm Paglt1 5middot4 15

--- -

bullbullbullbullbullbullbullbull Bridge Computer Manual - September 1994 bull

bull bullbull bullbull bull bull bull bull bullbull bullbullbullbullbullbullbullbullbullbullbullbull 0 bullbull

0 bullbull bullbullbull bull bullbullbullbullbullbullbullbullbullbull bullbull bull bullbull bull bullbullbullbullbull bullbull bull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbull 0 bullbullbull bull bullbullbull 0 bullbull bullbullbullbull bullbullbull0 bullbull bull bull

bull~DtVlcamp-t-rAnacq-

fAA ~ KU ~liJW rQtl ~4001 au JtllO ~ SJIi SIU Qolt ~ISS $UU kAlaquoJIpound RAQ t Ph SiACS nua uu octc

t~l ~lSu us1 CJtll I ll ) f Nl C~ DCJ triO

221 21 0 ) t) aot 6249 SiS sc lS SmiddotAS li 4 5 uu l 1 12 61 00 u u u a 11 SmiddotAS 31 e )])$ 1)11 1744 lll nu 10 P-PM llJl n u 1) 2) ll l) U 22 S ll lt( U bull P- Jt l tc u oc uu nn U ll 650 4 Lf0 bull fbullTA nti )i 00 U Lt 1121 ll~ s u 4 55 imiddotbullfAC u o )6 0) au ll 2 ) n u )Jl u u Pbullf u ts H Co Jt 112 (3 50 l t-t u bull l

PAC exES

1 bull JJ SAt m US 7U~ HI AAn10 Ml)nctbS (t2l ) raquo Sigt~ Ipound$1 7MAf TKE ~ cAlOlVIS KItllHJiot (P gtU C1)WI ltCirOQ K~ nLo 1(1 UIHlO MlXldJM I S 1 bull (t-201

Pbullgos-4 JG

bull bull bull bull bull bull

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

Example Problem 2

Bent Csp Design

Determine the amount of tension reinforcement r~ed Jn a ~t cap for maximum negative momml considering fotigue and crack control crllorlo

Service Load Dolo DoadLoad H bull Lltgtad P middotLoad

(OL) (Ll+l) (LL+I)

Mu moment -2 146 -706 middot2155 Min moment 0

~ ~6 ~18- _1~

Ibull bull bull bull bull bull bull bull bull bull t -1- 7 i6 Oigtor bar$

(tronsvorso deck sleel) 1- ~1 1 Main Bars

I 11 I

Cap-Section sa bullbull 2

Page 5middot-lt 7 Concl6ttt Design Pagram ------------------shy

bull bull bull

bullbullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

bull bull bull bullbull bullbullbullbullbullbullbullbullbull bull bull bullbullbull bull bull bullbull bull 0 bullbullbullbullbullbullbull bull bull bull

YOtIR ~ Fni)IAi IS OmltA7 CIJ OZSJC~ NH RtlSaRSamp ~ SEit vtl ON eGo t7

OampSJQlt iS= )25 001)) 29000 bullo lO sso bullo iOo- 8 2 5 ( 00 1(middot0 00 middot YAlP 0 11 ltU 1 (1 00 orm 7 2 00 1 coo 0 00 0 01

IOXl~m NCITt~ HO~T

-214 - lCli bull middot2SS bull0 0 0 lll 211 llO lCO 090

Page 5middot4 8

Page 6: Chapter 5-Reinforced Concrete - Caltrans · Box Girder Design ... equilibrium of internal stresses and compatibility of strains. ... mode, the designorenleJo thenumb

bull bull bull bull bull bull bull bull

bullbullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

General Description

r Etred ive width Tension - compcessfon Top ether bars

~L__--====+-- bull Top mmnbars

1--- Woll ~1lt11h

Bonom main bars

bull ~I bull bull bull bull bull bull bull bull o

~I I Boa1om Other 8 Tension- compre$$ion bars

Effeelive width

Input Panel Instructions

GenersJ Oats Panel

Title

Enter a maximum of 40 alphanumeric charac-tersto identify your problem

Type Of Structure

Reinforced Coocrete (RC)

Strenglh design method and serviceability criteri1as outlined in the code

Fully Prestressed (FP)

Cwrent Cal trans design specifications require zero tension in the concrete under full

dead load but allow some tension (6 x ff)Mdcr fuU service load The section is still considered uncrackcd and is designed using gross sect-ion p roperties and traditional equations of mechanks

Pagb 5middot44 Conetete Oampsign Progr~m

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

Partially Prestressed (PP)

The rend in current design pradice is to panally prewess structures by combining (uUy stressed tendons with mHd steeJ reinforcement allow 4 x [f tension in the ooncrete Ulldcr full dead load and allow the section to crack Ullder full serva load and sotisfy ultiJNte strength and sotvleeability oiteria Partially pmtrHsed membltrs are dKigned using the same crack width and mild steel fatigue limitations as reinforced concrete Maximum semeestress in the prestress steel alter osseo is limited to 80 of yield stross For low lax and normal 7-strnnd prestressing strand the yield stress is equal to 90 and 83 of the ultimate stress spectivcly

The allowable range between maximum and minimum tensile stress in the prestress steel caused by livc lood plus impact at semee load after losses shall not exceed 22 ksl

For mo detailed Wormation on the dKipgt of partial pncstressed structwu see bull A OSign Procedure for Partial Prestressing of Concrote Box-Gilder Bridges by Steve McBride (SASA- 227middot8268)

Type Of Anatyels

Enter the typeofanai)Sis DESIGNor CHECK The default is DESIGNInboth the DESIGNand OIECKmode the program computes the numbltrofMAII temionb1rs requlndln CHECK mode the designorenleJo thenumbltr of MAIN tension bats theprogrun makes aoomparison to the number of MAIN leNion~computedatld prints an appllcablt OK or NG

The program prints a table of finalsults containing a stress analysis lor cracllt control and fatigue requirements In the DESIGN mode the otress analysis is based on the area ofsteel required for different bat slus In Ow CHECK mode the stress -ItSis Is based on the area of steel and bar size input

Consider Fatigue (Code 81683) (YesNo)

EnterYEStoCOISider CaUgue or NO to neglectitTheprogrun will calculate thestmsraJge between maximum tensionstressand minjmum stressin thesmiddotteel barsclosest to lhrexrreme tension fibltr caused by live load plus impact at the servlt level Ar area of steelmiddotis determined sotlult thestreM range isequal to theallowabl tress rangeThe default isYES

Note that fatigue is chedtdat point of load application Tiw d~igncr is ~ponsibk for Jssuring fatigue compllltrtce at other S-frCtions tlvou_ghout the span GerleraUy this is at locations where bars a re terminated (cui off)

Consider Crack Control (Code 81684) (YesNo)

Enter YES to consJder crock control or NO to neg~t it At setvice level an atea or steel is determined so that theapplied tess cqu1l the aUowabestrru The aDowlblestress~ds on the rumhcr size and spildng o the baro the eovltr from the extreme ~ion fibor of tho concrete tO the celte-r of the bar located dOeSt to the cxtrem~ ttiSion fiber the area ofconcrete in tensionhanr the same centroid as tho barbeingcon-idered (ortheCG nfbull group olbm) and the accepfJible cracllt htdth (environmental Z foetor~ Toe default is YES

CotlcretB DJJMign ProgrJm bullobull smiddotbulls

bullbullbullbullbullbullbullbull Bridge Compute r Manual - September 1994 bull

Ultimate Concrete Compressive Stress

Enter the ultimate concrete compressive S1Tength (ksi) The default is value 325 ksi

Ultimate Concrete Compressive Strain

Enter the ultimate concrete compressive strain (in in) The default value is 003 inin

Youngs Modulus for Steel Rebars

Enter Youngs modulus for the steel rebars (lltlti) The defult value is 29000 ksi

Yield Stress of Steel Re bar

Enter the yield stress (tltSi) of the steel rebar The default is 60 ksi

Ultimate Stress for Prestress Steel

Enter the ultimate stress for prestress steel The default is 270 ksi

Low Lax Prestress Steel

Enteryesor no The yield stress (11 ) for low middotlax strmd iscalculated as 90 times theultimate stress (I) Fornormal strnndtheieldstress(17) iscalcuJated as 85t imes theultimatestress (f)

Environmental Factor (Code 81684) (Z)

Entertheenvironmental factOr Z (kin) This is the Z factor used in the craclc controlchedlt The default is 170 kin

Structure Data Panel

Total Depth

Enter the total member depth (fl)

Top Flange EHective Width (Comp)

Enter the effective width of the Jlange when the top goes into compression (Code 810)

Top Flange Effective Width (Ten)

Entltr the eflective width of the flange when the top goes into tension (Code 8172)

Top Flange Thickness

Enter thickness of top lange (in)

P~gc 5middot46 Concrcttt Doslgn Pmgram

bullbullbullbullbullbullbull Bridgo Computer Manual - September 1994 bull

t1llt1rrnl

Width of Web

Enter width of web (ft )

Bottom Flenge EHecllve Width (Comp)

Enter the effective width of the flange when bollom goe$ into compsslon (Code 810)

Bottom Flange EHeclive Width (Ten)

Enter the effective width of the flange when the bottom goes Into lension (Code 82)

Bottom Flange Thickness

Enter the thiclness ofboll om flange (in)

Notes

Since themiiXilnum and minimum appUed moments for the fatiguecheck may be oppDltSite In$lgn the effective compression and tltNon flange width for both the top and the bottom of the section is nquired

By providing theeffective COD1pn1SSionand tension lAnge width for both thetop and bottom of the section the user can design the section for positive moment on one IW then deJign the ltdionfor negatnmiddote rnament on the lIXt run without having to lthange the stnocture data

For rectnngular beams enter the total d epth and width ofweb only

For T-beams enter total depth width of web and top or bortom Iango data only

For flanged beams the tension flange width defaults to the complte$sion flange width

ReiJar Data Panel

Rebar Location

EnlulOGltionofthe regtarTOPorBOT TOPindgtes thatthetebllrawer lsmeasutltd fromthe top of thesection BOTindicates that the rcbnrcovvismeasured from thebottom of the section

Rebar Layer

Enr the type of rebar layer MAll01 oniER The designer must enter at least one MAIN tcnsionrebar layer MAIN tndlcates the rcbor layelt that is to be diJllgted orchecllted Onlyone MAIN rebv layer is allowed at the top and bottom of the section If the applied moments aro positibullY the of $1tcl for the bottom MAll rebar la)er w11 be determined U the appUed momLlt are negative the area of steel for the top MAIN rebar Ioyer will be detcnnined

OTHER rebar Uybullrs considered in thi design but their bullrea of steel is held COI$tl~l These btmiddotus may be in eitier comprC$Slon or tenston depe-nding on their lOCAtion and the applied mornent Up to 6 OTHER rebar layers are allowed

~~bull~nP~mm ----------------------------------- shy

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

t1rlfrans

Total Bars

Enter total number of bars in the layer Since the program computes the riwnber of MAIN tension rebars required the numberofrebars in theMAIN tension layer should beleftblank inDESIGNmodelfthe number of MAIN bars is entered and they go into compression they will be considered as compression steel middot

In the CHECK mode the designer must enter the number of rebars _in the MAINtension layer Always enter the total number of bars in OTHER layers

Bar Size

Enter the Bar sjze

Cover

Enter the distance from the TOP or BOT of the section to the outsid~ of the rebar (in)

Bundle Pattern

Enter a 1 for single bars Enter 2V for two bars bundled in a vertical pattern Enter 2H for two bars bundled in a horizontal pattern

Skew Angle

MAINbarsmaynotbeskewed Only OTHER bars (transverse deck reinforcement) are allowed to be skewed The programcomputes aneffective steel area bymultiplying the actual area of the barsbythe cosine of the skew angle Note byprovidingboththeTOPand BOT MAIN steel the user can design the section for positive moment on one run then design the section for negative moment on the next run without having to change the rebar data

Total Area Of Prestressing Steel

Enter the area of prestressing steel (sq in)

Distance From Bottom Of Section To CG Of Prestress Steel

Enter the distance from the bottom of section to center of gravity of the prestressing steel (in)

Service Load Data Panel

Load Title

Enter a maximum of 40 alphanumeric characters to describe the load

Dead load Moment (DL)

Enter the moment due to dead load (k-ft)

Page 5-48 Concrete Design Program

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

+Load Moment (Ll+l)

Enltrlhemaldmumarominimum~due tostlnlbrclHS-2lltruck impact loadlng (k-It~

PmiddotLoad Moment (LL+I)

Enter the miiXimum moment dwgt to CALTRANS Pennil truck + impact loading (kmiddotfl)

ForPmiddotLoads on clOSltl) spaced girders (PC) used only for superstructures (ie box girders) input the Pmiddot Load for the number of lanes loaded

For widely spaced girders (PW) and subslTuctures (ie bltnt cap) input the P-Load as 115 limes orte lane ofI load (115P) or input 11Slimes one lane of P load plus one laneof H load (IISP + H) which ever controls

Other Moment

Enter any other momet you want to consider (kmiddotft)

Secondary Moment

Enttr prestrti$ing secondary momenL (kft)

Axial Loads

Enter the corresponding axial loads for DEAD LOAD HmiddotLOAO PmiddotLOAD and OTHER LOAO (k)

Load Factors

Enter the appropriate load factors for DEAD LOAD H-LOAD P-LOAO and OTHER LOAD TIbulle default values are 130 217 130 nnd 130 respectively

Strength Reduction Factor

Enterstrength reduction factor for bltnding Default Is 90 for reinforced concrete (RC) and 95 for fully preswssed (FP) and partiaUy prestressed (PP) membltrs

Flnal Prestress Force After All Losses

Enter the final prestress force after all losses inkipt

Notes

Nlarive (middot)moment causes wnslon In the top therefore there must be a ~tlN rebarla)buller at the top oi the section

Posmv~ (+) mom~nt causes tension in the bonom therefore there must be a MAL rebar Jaytr (It the bottom of the section

Minimwn moment is used for the fatigue an_lysls

Pags 5middot49 Cooetftbull Design Program -----------------shy

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

liztrans

Example Problem 1

Box Girder Design

Determine the amount of tension reinforcement required ina box girder for maxim tun positive moment considering fatigue and crack control criteria

Service Load Data Dead Load H- Load P - Load

(DL) (LL+I) (LL+I)

Max moment 4270 2447 4693 Min moment -326

112 -Typical Section

Symmetrical about ~

--- 4 bull fllrets -z_ = ~ shyin

~ If)

co

3-1 2-3 7-8 4-9

17-9

Page 5-410 Concrete Design Program

Bridge Computer Manual - September 1994 bull

bull bullbullbullbull bullbull bull Ycent1R CCNC PtoAft shy0 bullbullbull bull 0 bull bull 0 bull bullbullbull bull bullbullbullbullbullbullbullbullbullbull 0 0 bullbullbullbullbullbullbull bull

80X GPDpound1 D~QI JERGQtf IIS OIIt1 RC DESIGtl Ytl YES

L l$ 01)1)] 2tOCO YU l70 S$0 bullbull

lSSc nu 125 lOO ubull Sl bull - c o 206 oco oo )00

IWt JOrnvE ~ u lU1 ~)U dU 0

0 0 0 c JJO 1 1 llO 1~0

bull Loe raquotebull

-Pogc 5-lt t t Concltcro OesJgnPmgam - ------------ ----shy

bullbull bull bullbullbullbullbullbull bull bull bullbull bull bull

Bridge Computer Manual - September 1994 bull

o o o o o o o o o o o o o o o

l~ ) Sl ~32i9J PADr

bull bull bullbullbullbull 0 bullbullbullbullbullbullbullbullbullbullbullbullbull bull bullbullbullbullbullbullbullbullbullbullbull 0 bullbull0 bullbullbullbullbull bullbull bullbullbull bullbull bull bull bull bull bull bullbull bull 0 0

c~L-t Dtscs F-POlfJI ( RC) FStNrcFCec comatTE ( i ) PA~TltlLY FR1$TRB$8poundD ~) rtJt) lfZSRZ$1)

CAtH10 Lilbull OfiAJlt JXttT OF fVJSPOtto Oti VeRSIC~ 4 060Ji7

o bull o o o o o o o t o o bull o o bull o o o o o bull o o o o o o o

0 bull 0 bull bull 0 bullbullbullbullbullbullbullbullbull 0 bull bullbullbullbull bullbull bullbullbull bullbullbullbullbull bullbullbullbullbullbullbullbull ~bullbull 0 bull

Tt lpound OT ANALSS

COtml SAMltQttl

COtsm~ SZPVICt bull Qt(K =-TROII

mJIQn ~TT COYiR~SJVE $TRE$$ otrwn co~ eGMPR~xvz $1PAAN YOIJ~S HCOUUlS OR CCNCltrt

YoctUS HOOUtus FOR $TEI ~DAA$ Y llD STRESS 10Jt Sftk REBAA$

YOIJHGS ~OS f(gtR t lilC$$ STtt L UTt~pound STRESS fOlt PRampSTilt$$ itt LOIImiddotAT ~~S SEU

laquolXJA~ RAl O Yl LD iTtpound- IampS tcl MODUtAA RAIO iFESTRfSS STEfL ( EP OCJ

bullbull i tc) bull ( ampQ) bull

( te) bull

($ bull

( FSI ~

) bull

fPI

bull

(

o o o o o o o o o o o o o o o o o o o o o o o o o 1 o 1 o

bull 0 bullbullbullbullbullbullbullbullbullbullbullbullbullbull

La 1SI ~ DOl PI DI )~- ~SJ

2900 0 ltSl GO O itSJ

211000 zs 21amp0 X$~

su 8 (2

17 o ~tn

~ gtTAL MMH bull s so n

0 f lAlaquoi t K lCtH IC0 -1 ) bull lS So FT 00 FU~Ct ~IMH I I ) ll 2 Of FLA~amp 1H1ClttampS$

Wrotll (If 11

DltmO ltgt~G ICtK 1~Ct lotlDttl -

bull i 2S rbull

bull 3 00 tT

(cent0tP) 0 21 63 r-r 22 6) ( TC l ) bull

loOlO~ tmiddot~s fl oNSS fl ) n~bull

Ppge 5middot4 2 Concre te Clsign Program

Bridge Computer Manual - September 1994 bull

bullbullbull 0 bull bull bull bullbullbullbull 0 bull bull

0 bullbullbullbullbullbullbullbull bullbull bullbullbullbullbullbullbullbullbullbullbull bull bullbullbull 0 bull bullbullbullbullbullbull bull bullbullbullbullbullbullbull bull bullbullbull bullbullbullbullbullbullbull bullbullbullbull bullbull bullbull bull bull bullbull bullbull bull bull bullbull 0 bull fAA LCC IJU

IIgtT 0 1 00) o oo

tOTAL AAn OF FU11111H Spoundt I AP ) bull 0 00 so~~ o1n fllCie nt KTrC TO cc or rcsngtss nac oo ~

bull bullbull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull 0 bullbullbullbull bullbullbullbull bullbull bull bull bullbullbullbullbullbullbullbull 0 0 bull bullbullbull bull

LOAD PlllB bull MAX PODMVt ~ittr

mAl ~lY

AJamp iibullMAX l middot lVol ~ ~r

UAbull I1 ~J ( U ( Lo (Omiddot fimiddotMI)MJ M~r U10 iU 7 bull lJi 4Ul 0 0

0 0 0 o 0 1fkS 1)0 1 l7 1( lU ~

OCO KIPS

bullbull0 bull 0 0 0 0 bullbullbull

bull bull

Yl~ ltbull t tJI Mmiddot Stil HbullPAC Pbull PAC

4)1f ~~(4 10 ucu-= bullbullUlL 0 c

ampCAD CJOI4)0tlaquoC$

Hbull S eP bull bull lUX) bull IOmiddottlaquotCI ( SmiddotYOH)

Xhl Hbull BER lfHlH) UH tru t bull rAX Ubull FA bull l JO J 401) 20 bull Ul ~) Oil X co~m~bull lOJ X tbullbullMC() KAJr P bullbullA bull I H X ttbull 30 bull t P~KAXI 1 00 X ro Ci) X IImiddot~middot

PtJge 5~ 13

bullbullbull

Bridge Computer Manual - September 1994 bull

bull bull

bullbullbullbull bullbull bullbull bullbull bullbullbullbullbull

Sbull U bull tiiRVlCt S~SO IN aD Sltt IMJ 1-AX IIbullSIftl t aACX cotmtOI

Ibull AI bull FAflOUE $11EIS lN Kl l) SlCEI US) UWC IN KbullIIK) HbullFAC bull Hmiddot FACrof10 HQNJlT PbullPAC bull PbullfACTCRCD H~T HIN1 bull tttlriUI RJtiIFMCE~ClII 1 11 1 1 1

liASto ON l 2 X ni CAAtUiC HMrt IW O bull M4lIP Ql YDlt-nfV11 ~IIJ~DGYr (ll7 12J

lMJ) 0amp Ti2t AApound1 lttJC tKDUgt G~t TlOrti ~FOUUD lit ANoLrS l S MAX bull ~M ru~~RCDCell (1 1() 1)

liASO o $ I e~CC) S1ttl ltATO

OU TJC2 f1tQK ~ COKtGS r-ll U ta TO tDrUL Utabull At-ntm - na uoc1am CPAC~ ~ tJ- f) tJO a 1

bullbull - 1 59 i53 nt7 con 10 t n ) 4 middot _HbullFAC I IB 2 )) IOCl PmiddottAr 132 1 50 tau u u ))

10 H~l tOl 07 S~2 171t bullbull ) )j10 i U 1SU nss -middot 10 2 26 ~ Cl amp (02~2 1SO C4

0 bullbull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbullbullbull 0 0 bullbullbull 0 bullbullbullbull bull bull bullbull bull bull bullbullbull bullbull comot ~~10 G)l 2 gt0 U il t i U ))

U1lHAt Hlllaquol1 CAJACtt _ fOAl ora MAlf ClT OCT 7 1gtlt TO- I HCICtlT Ju an n bull ~Au CAIACJY

( JO II) 110 H I) ( 1( OJ lS~ D ~ ~QU U~Tt) U NI

COI u t J e~~ U 9 oc ~ OIC lll ) ) n ~ ttOJ lOl ns bullbullbull 111

~Ul~ 1 1

1 T( t M U7 bull bull U)l lClmiddot IJl Ofll ll bullbullbull 2)l1 ese

Conrtee Design Program

bullbullbull

bullbull

Bridge Computer Manual - September 1994 bull

bullbullmiddotmiddotmiddotmiddotmiddotmiddot middotbullmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot bullbull middotmiddotmiddot middotmiddotmiddot middot middotmiddotmiddotbullbullmiddotbullbullmiddotmiddotmiddotmiddotmiddot middotmiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotbullmiddot middotbullmiddotbullmiddotmiddot middotbullbullbullbullbullmiddotmiddotbullmiddotbullmiddotmiddotbullmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotbullmiddot bullmiddotbullmiddotmiddot

uoucrn GICU fIWlsrot~ TIWfliOliltQ ( fTbull bulln 52 0 n 4

lrttiTU ( fT bullf J Ul t 2 U S S79 ( 1gtl) Hl 2 1 = bullbullbullYNA t iN) Ul ll

Lo-o~am ~-o OUXID GJiOlS ~~ lMHSICliiCD

- t tFpoundSDt - t t-~~ - - lnUtiJU - r 10AD 11 0 IOlr((( TOP ~ 10t ~

40) l Sf fttl 602 0

(1 S X SQ~T ret bull 21 PSI

Ym bull OJSgt~ fJtllil ~~SlCM Ftlat TO~ Cl ~JITt

e) bull jJ3~ BOH IXQXI ~UUfof YtA 1C ~ AXt f bull l bull DiSllaquot (middotI = ~SOH

Conctco Design Prormm Paglt1 5middot4 15

--- -

bullbullbullbullbullbullbullbull Bridge Computer Manual - September 1994 bull

bull bullbull bullbull bull bull bull bull bullbull bullbullbullbullbullbullbullbullbullbullbullbull 0 bullbull

0 bullbull bullbullbull bull bullbullbullbullbullbullbullbullbullbull bullbull bull bullbull bull bullbullbullbullbull bullbull bull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbull 0 bullbullbull bull bullbullbull 0 bullbull bullbullbullbull bullbullbull0 bullbull bull bull

bull~DtVlcamp-t-rAnacq-

fAA ~ KU ~liJW rQtl ~4001 au JtllO ~ SJIi SIU Qolt ~ISS $UU kAlaquoJIpound RAQ t Ph SiACS nua uu octc

t~l ~lSu us1 CJtll I ll ) f Nl C~ DCJ triO

221 21 0 ) t) aot 6249 SiS sc lS SmiddotAS li 4 5 uu l 1 12 61 00 u u u a 11 SmiddotAS 31 e )])$ 1)11 1744 lll nu 10 P-PM llJl n u 1) 2) ll l) U 22 S ll lt( U bull P- Jt l tc u oc uu nn U ll 650 4 Lf0 bull fbullTA nti )i 00 U Lt 1121 ll~ s u 4 55 imiddotbullfAC u o )6 0) au ll 2 ) n u )Jl u u Pbullf u ts H Co Jt 112 (3 50 l t-t u bull l

PAC exES

1 bull JJ SAt m US 7U~ HI AAn10 Ml)nctbS (t2l ) raquo Sigt~ Ipound$1 7MAf TKE ~ cAlOlVIS KItllHJiot (P gtU C1)WI ltCirOQ K~ nLo 1(1 UIHlO MlXldJM I S 1 bull (t-201

Pbullgos-4 JG

bull bull bull bull bull bull

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

Example Problem 2

Bent Csp Design

Determine the amount of tension reinforcement r~ed Jn a ~t cap for maximum negative momml considering fotigue and crack control crllorlo

Service Load Dolo DoadLoad H bull Lltgtad P middotLoad

(OL) (Ll+l) (LL+I)

Mu moment -2 146 -706 middot2155 Min moment 0

~ ~6 ~18- _1~

Ibull bull bull bull bull bull bull bull bull bull t -1- 7 i6 Oigtor bar$

(tronsvorso deck sleel) 1- ~1 1 Main Bars

I 11 I

Cap-Section sa bullbull 2

Page 5middot-lt 7 Concl6ttt Design Pagram ------------------shy

bull bull bull

bullbullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

bull bull bull bullbull bullbullbullbullbullbullbullbullbull bull bull bullbullbull bull bull bullbull bull 0 bullbullbullbullbullbullbull bull bull bull

YOtIR ~ Fni)IAi IS OmltA7 CIJ OZSJC~ NH RtlSaRSamp ~ SEit vtl ON eGo t7

OampSJQlt iS= )25 001)) 29000 bullo lO sso bullo iOo- 8 2 5 ( 00 1(middot0 00 middot YAlP 0 11 ltU 1 (1 00 orm 7 2 00 1 coo 0 00 0 01

IOXl~m NCITt~ HO~T

-214 - lCli bull middot2SS bull0 0 0 lll 211 llO lCO 090

Page 5middot4 8

Page 7: Chapter 5-Reinforced Concrete - Caltrans · Box Girder Design ... equilibrium of internal stresses and compatibility of strains. ... mode, the designorenleJo thenumb

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

Partially Prestressed (PP)

The rend in current design pradice is to panally prewess structures by combining (uUy stressed tendons with mHd steeJ reinforcement allow 4 x [f tension in the ooncrete Ulldcr full dead load and allow the section to crack Ullder full serva load and sotisfy ultiJNte strength and sotvleeability oiteria Partially pmtrHsed membltrs are dKigned using the same crack width and mild steel fatigue limitations as reinforced concrete Maximum semeestress in the prestress steel alter osseo is limited to 80 of yield stross For low lax and normal 7-strnnd prestressing strand the yield stress is equal to 90 and 83 of the ultimate stress spectivcly

The allowable range between maximum and minimum tensile stress in the prestress steel caused by livc lood plus impact at semee load after losses shall not exceed 22 ksl

For mo detailed Wormation on the dKipgt of partial pncstressed structwu see bull A OSign Procedure for Partial Prestressing of Concrote Box-Gilder Bridges by Steve McBride (SASA- 227middot8268)

Type Of Anatyels

Enter the typeofanai)Sis DESIGNor CHECK The default is DESIGNInboth the DESIGNand OIECKmode the program computes the numbltrofMAII temionb1rs requlndln CHECK mode the designorenleJo thenumbltr of MAIN tension bats theprogrun makes aoomparison to the number of MAIN leNion~computedatld prints an appllcablt OK or NG

The program prints a table of finalsults containing a stress analysis lor cracllt control and fatigue requirements In the DESIGN mode the otress analysis is based on the area ofsteel required for different bat slus In Ow CHECK mode the stress -ItSis Is based on the area of steel and bar size input

Consider Fatigue (Code 81683) (YesNo)

EnterYEStoCOISider CaUgue or NO to neglectitTheprogrun will calculate thestmsraJge between maximum tensionstressand minjmum stressin thesmiddotteel barsclosest to lhrexrreme tension fibltr caused by live load plus impact at the servlt level Ar area of steelmiddotis determined sotlult thestreM range isequal to theallowabl tress rangeThe default isYES

Note that fatigue is chedtdat point of load application Tiw d~igncr is ~ponsibk for Jssuring fatigue compllltrtce at other S-frCtions tlvou_ghout the span GerleraUy this is at locations where bars a re terminated (cui off)

Consider Crack Control (Code 81684) (YesNo)

Enter YES to consJder crock control or NO to neg~t it At setvice level an atea or steel is determined so that theapplied tess cqu1l the aUowabestrru The aDowlblestress~ds on the rumhcr size and spildng o the baro the eovltr from the extreme ~ion fibor of tho concrete tO the celte-r of the bar located dOeSt to the cxtrem~ ttiSion fiber the area ofconcrete in tensionhanr the same centroid as tho barbeingcon-idered (ortheCG nfbull group olbm) and the accepfJible cracllt htdth (environmental Z foetor~ Toe default is YES

CotlcretB DJJMign ProgrJm bullobull smiddotbulls

bullbullbullbullbullbullbullbull Bridge Compute r Manual - September 1994 bull

Ultimate Concrete Compressive Stress

Enter the ultimate concrete compressive S1Tength (ksi) The default is value 325 ksi

Ultimate Concrete Compressive Strain

Enter the ultimate concrete compressive strain (in in) The default value is 003 inin

Youngs Modulus for Steel Rebars

Enter Youngs modulus for the steel rebars (lltlti) The defult value is 29000 ksi

Yield Stress of Steel Re bar

Enter the yield stress (tltSi) of the steel rebar The default is 60 ksi

Ultimate Stress for Prestress Steel

Enter the ultimate stress for prestress steel The default is 270 ksi

Low Lax Prestress Steel

Enteryesor no The yield stress (11 ) for low middotlax strmd iscalculated as 90 times theultimate stress (I) Fornormal strnndtheieldstress(17) iscalcuJated as 85t imes theultimatestress (f)

Environmental Factor (Code 81684) (Z)

Entertheenvironmental factOr Z (kin) This is the Z factor used in the craclc controlchedlt The default is 170 kin

Structure Data Panel

Total Depth

Enter the total member depth (fl)

Top Flange EHective Width (Comp)

Enter the effective width of the Jlange when the top goes into compression (Code 810)

Top Flange Effective Width (Ten)

Entltr the eflective width of the flange when the top goes into tension (Code 8172)

Top Flange Thickness

Enter thickness of top lange (in)

P~gc 5middot46 Concrcttt Doslgn Pmgram

bullbullbullbullbullbullbull Bridgo Computer Manual - September 1994 bull

t1llt1rrnl

Width of Web

Enter width of web (ft )

Bottom Flenge EHecllve Width (Comp)

Enter the effective width of the flange when bollom goe$ into compsslon (Code 810)

Bottom Flange EHeclive Width (Ten)

Enter the effective width of the flange when the bottom goes Into lension (Code 82)

Bottom Flange Thickness

Enter the thiclness ofboll om flange (in)

Notes

Since themiiXilnum and minimum appUed moments for the fatiguecheck may be oppDltSite In$lgn the effective compression and tltNon flange width for both the top and the bottom of the section is nquired

By providing theeffective COD1pn1SSionand tension lAnge width for both thetop and bottom of the section the user can design the section for positive moment on one IW then deJign the ltdionfor negatnmiddote rnament on the lIXt run without having to lthange the stnocture data

For rectnngular beams enter the total d epth and width ofweb only

For T-beams enter total depth width of web and top or bortom Iango data only

For flanged beams the tension flange width defaults to the complte$sion flange width

ReiJar Data Panel

Rebar Location

EnlulOGltionofthe regtarTOPorBOT TOPindgtes thatthetebllrawer lsmeasutltd fromthe top of thesection BOTindicates that the rcbnrcovvismeasured from thebottom of the section

Rebar Layer

Enr the type of rebar layer MAll01 oniER The designer must enter at least one MAIN tcnsionrebar layer MAIN tndlcates the rcbor layelt that is to be diJllgted orchecllted Onlyone MAIN rebv layer is allowed at the top and bottom of the section If the applied moments aro positibullY the of $1tcl for the bottom MAll rebar la)er w11 be determined U the appUed momLlt are negative the area of steel for the top MAIN rebar Ioyer will be detcnnined

OTHER rebar Uybullrs considered in thi design but their bullrea of steel is held COI$tl~l These btmiddotus may be in eitier comprC$Slon or tenston depe-nding on their lOCAtion and the applied mornent Up to 6 OTHER rebar layers are allowed

~~bull~nP~mm ----------------------------------- shy

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

t1rlfrans

Total Bars

Enter total number of bars in the layer Since the program computes the riwnber of MAIN tension rebars required the numberofrebars in theMAIN tension layer should beleftblank inDESIGNmodelfthe number of MAIN bars is entered and they go into compression they will be considered as compression steel middot

In the CHECK mode the designer must enter the number of rebars _in the MAINtension layer Always enter the total number of bars in OTHER layers

Bar Size

Enter the Bar sjze

Cover

Enter the distance from the TOP or BOT of the section to the outsid~ of the rebar (in)

Bundle Pattern

Enter a 1 for single bars Enter 2V for two bars bundled in a vertical pattern Enter 2H for two bars bundled in a horizontal pattern

Skew Angle

MAINbarsmaynotbeskewed Only OTHER bars (transverse deck reinforcement) are allowed to be skewed The programcomputes aneffective steel area bymultiplying the actual area of the barsbythe cosine of the skew angle Note byprovidingboththeTOPand BOT MAIN steel the user can design the section for positive moment on one run then design the section for negative moment on the next run without having to change the rebar data

Total Area Of Prestressing Steel

Enter the area of prestressing steel (sq in)

Distance From Bottom Of Section To CG Of Prestress Steel

Enter the distance from the bottom of section to center of gravity of the prestressing steel (in)

Service Load Data Panel

Load Title

Enter a maximum of 40 alphanumeric characters to describe the load

Dead load Moment (DL)

Enter the moment due to dead load (k-ft)

Page 5-48 Concrete Design Program

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

+Load Moment (Ll+l)

Enltrlhemaldmumarominimum~due tostlnlbrclHS-2lltruck impact loadlng (k-It~

PmiddotLoad Moment (LL+I)

Enter the miiXimum moment dwgt to CALTRANS Pennil truck + impact loading (kmiddotfl)

ForPmiddotLoads on clOSltl) spaced girders (PC) used only for superstructures (ie box girders) input the Pmiddot Load for the number of lanes loaded

For widely spaced girders (PW) and subslTuctures (ie bltnt cap) input the P-Load as 115 limes orte lane ofI load (115P) or input 11Slimes one lane of P load plus one laneof H load (IISP + H) which ever controls

Other Moment

Enter any other momet you want to consider (kmiddotft)

Secondary Moment

Enttr prestrti$ing secondary momenL (kft)

Axial Loads

Enter the corresponding axial loads for DEAD LOAD HmiddotLOAO PmiddotLOAD and OTHER LOAO (k)

Load Factors

Enter the appropriate load factors for DEAD LOAD H-LOAD P-LOAO and OTHER LOAD TIbulle default values are 130 217 130 nnd 130 respectively

Strength Reduction Factor

Enterstrength reduction factor for bltnding Default Is 90 for reinforced concrete (RC) and 95 for fully preswssed (FP) and partiaUy prestressed (PP) membltrs

Flnal Prestress Force After All Losses

Enter the final prestress force after all losses inkipt

Notes

Nlarive (middot)moment causes wnslon In the top therefore there must be a ~tlN rebarla)buller at the top oi the section

Posmv~ (+) mom~nt causes tension in the bonom therefore there must be a MAL rebar Jaytr (It the bottom of the section

Minimwn moment is used for the fatigue an_lysls

Pags 5middot49 Cooetftbull Design Program -----------------shy

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

liztrans

Example Problem 1

Box Girder Design

Determine the amount of tension reinforcement required ina box girder for maxim tun positive moment considering fatigue and crack control criteria

Service Load Data Dead Load H- Load P - Load

(DL) (LL+I) (LL+I)

Max moment 4270 2447 4693 Min moment -326

112 -Typical Section

Symmetrical about ~

--- 4 bull fllrets -z_ = ~ shyin

~ If)

co

3-1 2-3 7-8 4-9

17-9

Page 5-410 Concrete Design Program

Bridge Computer Manual - September 1994 bull

bull bullbullbullbull bullbull bull Ycent1R CCNC PtoAft shy0 bullbullbull bull 0 bull bull 0 bull bullbullbull bull bullbullbullbullbullbullbullbullbullbull 0 0 bullbullbullbullbullbullbull bull

80X GPDpound1 D~QI JERGQtf IIS OIIt1 RC DESIGtl Ytl YES

L l$ 01)1)] 2tOCO YU l70 S$0 bullbull

lSSc nu 125 lOO ubull Sl bull - c o 206 oco oo )00

IWt JOrnvE ~ u lU1 ~)U dU 0

0 0 0 c JJO 1 1 llO 1~0

bull Loe raquotebull

-Pogc 5-lt t t Concltcro OesJgnPmgam - ------------ ----shy

bullbull bull bullbullbullbullbullbull bull bull bullbull bull bull

Bridge Computer Manual - September 1994 bull

o o o o o o o o o o o o o o o

l~ ) Sl ~32i9J PADr

bull bull bullbullbullbull 0 bullbullbullbullbullbullbullbullbullbullbullbullbull bull bullbullbullbullbullbullbullbullbullbullbull 0 bullbull0 bullbullbullbullbull bullbull bullbullbull bullbull bull bull bull bull bull bullbull bull 0 0

c~L-t Dtscs F-POlfJI ( RC) FStNrcFCec comatTE ( i ) PA~TltlLY FR1$TRB$8poundD ~) rtJt) lfZSRZ$1)

CAtH10 Lilbull OfiAJlt JXttT OF fVJSPOtto Oti VeRSIC~ 4 060Ji7

o bull o o o o o o o t o o bull o o bull o o o o o bull o o o o o o o

0 bull 0 bull bull 0 bullbullbullbullbullbullbullbullbull 0 bull bullbullbullbull bullbull bullbullbull bullbullbullbullbull bullbullbullbullbullbullbullbull ~bullbull 0 bull

Tt lpound OT ANALSS

COtml SAMltQttl

COtsm~ SZPVICt bull Qt(K =-TROII

mJIQn ~TT COYiR~SJVE $TRE$$ otrwn co~ eGMPR~xvz $1PAAN YOIJ~S HCOUUlS OR CCNCltrt

YoctUS HOOUtus FOR $TEI ~DAA$ Y llD STRESS 10Jt Sftk REBAA$

YOIJHGS ~OS f(gtR t lilC$$ STtt L UTt~pound STRESS fOlt PRampSTilt$$ itt LOIImiddotAT ~~S SEU

laquolXJA~ RAl O Yl LD iTtpound- IampS tcl MODUtAA RAIO iFESTRfSS STEfL ( EP OCJ

bullbull i tc) bull ( ampQ) bull

( te) bull

($ bull

( FSI ~

) bull

fPI

bull

(

o o o o o o o o o o o o o o o o o o o o o o o o o 1 o 1 o

bull 0 bullbullbullbullbullbullbullbullbullbullbullbullbullbull

La 1SI ~ DOl PI DI )~- ~SJ

2900 0 ltSl GO O itSJ

211000 zs 21amp0 X$~

su 8 (2

17 o ~tn

~ gtTAL MMH bull s so n

0 f lAlaquoi t K lCtH IC0 -1 ) bull lS So FT 00 FU~Ct ~IMH I I ) ll 2 Of FLA~amp 1H1ClttampS$

Wrotll (If 11

DltmO ltgt~G ICtK 1~Ct lotlDttl -

bull i 2S rbull

bull 3 00 tT

(cent0tP) 0 21 63 r-r 22 6) ( TC l ) bull

loOlO~ tmiddot~s fl oNSS fl ) n~bull

Ppge 5middot4 2 Concre te Clsign Program

Bridge Computer Manual - September 1994 bull

bullbullbull 0 bull bull bull bullbullbullbull 0 bull bull

0 bullbullbullbullbullbullbullbull bullbull bullbullbullbullbullbullbullbullbullbullbull bull bullbullbull 0 bull bullbullbullbullbullbull bull bullbullbullbullbullbullbull bull bullbullbull bullbullbullbullbullbullbull bullbullbullbull bullbull bullbull bull bull bullbull bullbull bull bull bullbull 0 bull fAA LCC IJU

IIgtT 0 1 00) o oo

tOTAL AAn OF FU11111H Spoundt I AP ) bull 0 00 so~~ o1n fllCie nt KTrC TO cc or rcsngtss nac oo ~

bull bullbull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull 0 bullbullbullbull bullbullbullbull bullbull bull bull bullbullbullbullbullbullbullbull 0 0 bull bullbullbull bull

LOAD PlllB bull MAX PODMVt ~ittr

mAl ~lY

AJamp iibullMAX l middot lVol ~ ~r

UAbull I1 ~J ( U ( Lo (Omiddot fimiddotMI)MJ M~r U10 iU 7 bull lJi 4Ul 0 0

0 0 0 o 0 1fkS 1)0 1 l7 1( lU ~

OCO KIPS

bullbull0 bull 0 0 0 0 bullbullbull

bull bull

Yl~ ltbull t tJI Mmiddot Stil HbullPAC Pbull PAC

4)1f ~~(4 10 ucu-= bullbullUlL 0 c

ampCAD CJOI4)0tlaquoC$

Hbull S eP bull bull lUX) bull IOmiddottlaquotCI ( SmiddotYOH)

Xhl Hbull BER lfHlH) UH tru t bull rAX Ubull FA bull l JO J 401) 20 bull Ul ~) Oil X co~m~bull lOJ X tbullbullMC() KAJr P bullbullA bull I H X ttbull 30 bull t P~KAXI 1 00 X ro Ci) X IImiddot~middot

PtJge 5~ 13

bullbullbull

Bridge Computer Manual - September 1994 bull

bull bull

bullbullbullbull bullbull bullbull bullbull bullbullbullbullbull

Sbull U bull tiiRVlCt S~SO IN aD Sltt IMJ 1-AX IIbullSIftl t aACX cotmtOI

Ibull AI bull FAflOUE $11EIS lN Kl l) SlCEI US) UWC IN KbullIIK) HbullFAC bull Hmiddot FACrof10 HQNJlT PbullPAC bull PbullfACTCRCD H~T HIN1 bull tttlriUI RJtiIFMCE~ClII 1 11 1 1 1

liASto ON l 2 X ni CAAtUiC HMrt IW O bull M4lIP Ql YDlt-nfV11 ~IIJ~DGYr (ll7 12J

lMJ) 0amp Ti2t AApound1 lttJC tKDUgt G~t TlOrti ~FOUUD lit ANoLrS l S MAX bull ~M ru~~RCDCell (1 1() 1)

liASO o $ I e~CC) S1ttl ltATO

OU TJC2 f1tQK ~ COKtGS r-ll U ta TO tDrUL Utabull At-ntm - na uoc1am CPAC~ ~ tJ- f) tJO a 1

bullbull - 1 59 i53 nt7 con 10 t n ) 4 middot _HbullFAC I IB 2 )) IOCl PmiddottAr 132 1 50 tau u u ))

10 H~l tOl 07 S~2 171t bullbull ) )j10 i U 1SU nss -middot 10 2 26 ~ Cl amp (02~2 1SO C4

0 bullbull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbullbullbull 0 0 bullbullbull 0 bullbullbullbull bull bull bullbull bull bull bullbullbull bullbull comot ~~10 G)l 2 gt0 U il t i U ))

U1lHAt Hlllaquol1 CAJACtt _ fOAl ora MAlf ClT OCT 7 1gtlt TO- I HCICtlT Ju an n bull ~Au CAIACJY

( JO II) 110 H I) ( 1( OJ lS~ D ~ ~QU U~Tt) U NI

COI u t J e~~ U 9 oc ~ OIC lll ) ) n ~ ttOJ lOl ns bullbullbull 111

~Ul~ 1 1

1 T( t M U7 bull bull U)l lClmiddot IJl Ofll ll bullbullbull 2)l1 ese

Conrtee Design Program

bullbullbull

bullbull

Bridge Computer Manual - September 1994 bull

bullbullmiddotmiddotmiddotmiddotmiddotmiddot middotbullmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot bullbull middotmiddotmiddot middotmiddotmiddot middot middotmiddotmiddotbullbullmiddotbullbullmiddotmiddotmiddotmiddotmiddot middotmiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotbullmiddot middotbullmiddotbullmiddotmiddot middotbullbullbullbullbullmiddotmiddotbullmiddotbullmiddotmiddotbullmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotbullmiddot bullmiddotbullmiddotmiddot

uoucrn GICU fIWlsrot~ TIWfliOliltQ ( fTbull bulln 52 0 n 4

lrttiTU ( fT bullf J Ul t 2 U S S79 ( 1gtl) Hl 2 1 = bullbullbullYNA t iN) Ul ll

Lo-o~am ~-o OUXID GJiOlS ~~ lMHSICliiCD

- t tFpoundSDt - t t-~~ - - lnUtiJU - r 10AD 11 0 IOlr((( TOP ~ 10t ~

40) l Sf fttl 602 0

(1 S X SQ~T ret bull 21 PSI

Ym bull OJSgt~ fJtllil ~~SlCM Ftlat TO~ Cl ~JITt

e) bull jJ3~ BOH IXQXI ~UUfof YtA 1C ~ AXt f bull l bull DiSllaquot (middotI = ~SOH

Conctco Design Prormm Paglt1 5middot4 15

--- -

bullbullbullbullbullbullbullbull Bridge Computer Manual - September 1994 bull

bull bullbull bullbull bull bull bull bull bullbull bullbullbullbullbullbullbullbullbullbullbullbull 0 bullbull

0 bullbull bullbullbull bull bullbullbullbullbullbullbullbullbullbull bullbull bull bullbull bull bullbullbullbullbull bullbull bull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbull 0 bullbullbull bull bullbullbull 0 bullbull bullbullbullbull bullbullbull0 bullbull bull bull

bull~DtVlcamp-t-rAnacq-

fAA ~ KU ~liJW rQtl ~4001 au JtllO ~ SJIi SIU Qolt ~ISS $UU kAlaquoJIpound RAQ t Ph SiACS nua uu octc

t~l ~lSu us1 CJtll I ll ) f Nl C~ DCJ triO

221 21 0 ) t) aot 6249 SiS sc lS SmiddotAS li 4 5 uu l 1 12 61 00 u u u a 11 SmiddotAS 31 e )])$ 1)11 1744 lll nu 10 P-PM llJl n u 1) 2) ll l) U 22 S ll lt( U bull P- Jt l tc u oc uu nn U ll 650 4 Lf0 bull fbullTA nti )i 00 U Lt 1121 ll~ s u 4 55 imiddotbullfAC u o )6 0) au ll 2 ) n u )Jl u u Pbullf u ts H Co Jt 112 (3 50 l t-t u bull l

PAC exES

1 bull JJ SAt m US 7U~ HI AAn10 Ml)nctbS (t2l ) raquo Sigt~ Ipound$1 7MAf TKE ~ cAlOlVIS KItllHJiot (P gtU C1)WI ltCirOQ K~ nLo 1(1 UIHlO MlXldJM I S 1 bull (t-201

Pbullgos-4 JG

bull bull bull bull bull bull

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

Example Problem 2

Bent Csp Design

Determine the amount of tension reinforcement r~ed Jn a ~t cap for maximum negative momml considering fotigue and crack control crllorlo

Service Load Dolo DoadLoad H bull Lltgtad P middotLoad

(OL) (Ll+l) (LL+I)

Mu moment -2 146 -706 middot2155 Min moment 0

~ ~6 ~18- _1~

Ibull bull bull bull bull bull bull bull bull bull t -1- 7 i6 Oigtor bar$

(tronsvorso deck sleel) 1- ~1 1 Main Bars

I 11 I

Cap-Section sa bullbull 2

Page 5middot-lt 7 Concl6ttt Design Pagram ------------------shy

bull bull bull

bullbullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

bull bull bull bullbull bullbullbullbullbullbullbullbullbull bull bull bullbullbull bull bull bullbull bull 0 bullbullbullbullbullbullbull bull bull bull

YOtIR ~ Fni)IAi IS OmltA7 CIJ OZSJC~ NH RtlSaRSamp ~ SEit vtl ON eGo t7

OampSJQlt iS= )25 001)) 29000 bullo lO sso bullo iOo- 8 2 5 ( 00 1(middot0 00 middot YAlP 0 11 ltU 1 (1 00 orm 7 2 00 1 coo 0 00 0 01

IOXl~m NCITt~ HO~T

-214 - lCli bull middot2SS bull0 0 0 lll 211 llO lCO 090

Page 5middot4 8

Page 8: Chapter 5-Reinforced Concrete - Caltrans · Box Girder Design ... equilibrium of internal stresses and compatibility of strains. ... mode, the designorenleJo thenumb

bullbullbullbullbullbullbullbull Bridge Compute r Manual - September 1994 bull

Ultimate Concrete Compressive Stress

Enter the ultimate concrete compressive S1Tength (ksi) The default is value 325 ksi

Ultimate Concrete Compressive Strain

Enter the ultimate concrete compressive strain (in in) The default value is 003 inin

Youngs Modulus for Steel Rebars

Enter Youngs modulus for the steel rebars (lltlti) The defult value is 29000 ksi

Yield Stress of Steel Re bar

Enter the yield stress (tltSi) of the steel rebar The default is 60 ksi

Ultimate Stress for Prestress Steel

Enter the ultimate stress for prestress steel The default is 270 ksi

Low Lax Prestress Steel

Enteryesor no The yield stress (11 ) for low middotlax strmd iscalculated as 90 times theultimate stress (I) Fornormal strnndtheieldstress(17) iscalcuJated as 85t imes theultimatestress (f)

Environmental Factor (Code 81684) (Z)

Entertheenvironmental factOr Z (kin) This is the Z factor used in the craclc controlchedlt The default is 170 kin

Structure Data Panel

Total Depth

Enter the total member depth (fl)

Top Flange EHective Width (Comp)

Enter the effective width of the Jlange when the top goes into compression (Code 810)

Top Flange Effective Width (Ten)

Entltr the eflective width of the flange when the top goes into tension (Code 8172)

Top Flange Thickness

Enter thickness of top lange (in)

P~gc 5middot46 Concrcttt Doslgn Pmgram

bullbullbullbullbullbullbull Bridgo Computer Manual - September 1994 bull

t1llt1rrnl

Width of Web

Enter width of web (ft )

Bottom Flenge EHecllve Width (Comp)

Enter the effective width of the flange when bollom goe$ into compsslon (Code 810)

Bottom Flange EHeclive Width (Ten)

Enter the effective width of the flange when the bottom goes Into lension (Code 82)

Bottom Flange Thickness

Enter the thiclness ofboll om flange (in)

Notes

Since themiiXilnum and minimum appUed moments for the fatiguecheck may be oppDltSite In$lgn the effective compression and tltNon flange width for both the top and the bottom of the section is nquired

By providing theeffective COD1pn1SSionand tension lAnge width for both thetop and bottom of the section the user can design the section for positive moment on one IW then deJign the ltdionfor negatnmiddote rnament on the lIXt run without having to lthange the stnocture data

For rectnngular beams enter the total d epth and width ofweb only

For T-beams enter total depth width of web and top or bortom Iango data only

For flanged beams the tension flange width defaults to the complte$sion flange width

ReiJar Data Panel

Rebar Location

EnlulOGltionofthe regtarTOPorBOT TOPindgtes thatthetebllrawer lsmeasutltd fromthe top of thesection BOTindicates that the rcbnrcovvismeasured from thebottom of the section

Rebar Layer

Enr the type of rebar layer MAll01 oniER The designer must enter at least one MAIN tcnsionrebar layer MAIN tndlcates the rcbor layelt that is to be diJllgted orchecllted Onlyone MAIN rebv layer is allowed at the top and bottom of the section If the applied moments aro positibullY the of $1tcl for the bottom MAll rebar la)er w11 be determined U the appUed momLlt are negative the area of steel for the top MAIN rebar Ioyer will be detcnnined

OTHER rebar Uybullrs considered in thi design but their bullrea of steel is held COI$tl~l These btmiddotus may be in eitier comprC$Slon or tenston depe-nding on their lOCAtion and the applied mornent Up to 6 OTHER rebar layers are allowed

~~bull~nP~mm ----------------------------------- shy

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

t1rlfrans

Total Bars

Enter total number of bars in the layer Since the program computes the riwnber of MAIN tension rebars required the numberofrebars in theMAIN tension layer should beleftblank inDESIGNmodelfthe number of MAIN bars is entered and they go into compression they will be considered as compression steel middot

In the CHECK mode the designer must enter the number of rebars _in the MAINtension layer Always enter the total number of bars in OTHER layers

Bar Size

Enter the Bar sjze

Cover

Enter the distance from the TOP or BOT of the section to the outsid~ of the rebar (in)

Bundle Pattern

Enter a 1 for single bars Enter 2V for two bars bundled in a vertical pattern Enter 2H for two bars bundled in a horizontal pattern

Skew Angle

MAINbarsmaynotbeskewed Only OTHER bars (transverse deck reinforcement) are allowed to be skewed The programcomputes aneffective steel area bymultiplying the actual area of the barsbythe cosine of the skew angle Note byprovidingboththeTOPand BOT MAIN steel the user can design the section for positive moment on one run then design the section for negative moment on the next run without having to change the rebar data

Total Area Of Prestressing Steel

Enter the area of prestressing steel (sq in)

Distance From Bottom Of Section To CG Of Prestress Steel

Enter the distance from the bottom of section to center of gravity of the prestressing steel (in)

Service Load Data Panel

Load Title

Enter a maximum of 40 alphanumeric characters to describe the load

Dead load Moment (DL)

Enter the moment due to dead load (k-ft)

Page 5-48 Concrete Design Program

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

+Load Moment (Ll+l)

Enltrlhemaldmumarominimum~due tostlnlbrclHS-2lltruck impact loadlng (k-It~

PmiddotLoad Moment (LL+I)

Enter the miiXimum moment dwgt to CALTRANS Pennil truck + impact loading (kmiddotfl)

ForPmiddotLoads on clOSltl) spaced girders (PC) used only for superstructures (ie box girders) input the Pmiddot Load for the number of lanes loaded

For widely spaced girders (PW) and subslTuctures (ie bltnt cap) input the P-Load as 115 limes orte lane ofI load (115P) or input 11Slimes one lane of P load plus one laneof H load (IISP + H) which ever controls

Other Moment

Enter any other momet you want to consider (kmiddotft)

Secondary Moment

Enttr prestrti$ing secondary momenL (kft)

Axial Loads

Enter the corresponding axial loads for DEAD LOAD HmiddotLOAO PmiddotLOAD and OTHER LOAO (k)

Load Factors

Enter the appropriate load factors for DEAD LOAD H-LOAD P-LOAO and OTHER LOAD TIbulle default values are 130 217 130 nnd 130 respectively

Strength Reduction Factor

Enterstrength reduction factor for bltnding Default Is 90 for reinforced concrete (RC) and 95 for fully preswssed (FP) and partiaUy prestressed (PP) membltrs

Flnal Prestress Force After All Losses

Enter the final prestress force after all losses inkipt

Notes

Nlarive (middot)moment causes wnslon In the top therefore there must be a ~tlN rebarla)buller at the top oi the section

Posmv~ (+) mom~nt causes tension in the bonom therefore there must be a MAL rebar Jaytr (It the bottom of the section

Minimwn moment is used for the fatigue an_lysls

Pags 5middot49 Cooetftbull Design Program -----------------shy

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

liztrans

Example Problem 1

Box Girder Design

Determine the amount of tension reinforcement required ina box girder for maxim tun positive moment considering fatigue and crack control criteria

Service Load Data Dead Load H- Load P - Load

(DL) (LL+I) (LL+I)

Max moment 4270 2447 4693 Min moment -326

112 -Typical Section

Symmetrical about ~

--- 4 bull fllrets -z_ = ~ shyin

~ If)

co

3-1 2-3 7-8 4-9

17-9

Page 5-410 Concrete Design Program

Bridge Computer Manual - September 1994 bull

bull bullbullbullbull bullbull bull Ycent1R CCNC PtoAft shy0 bullbullbull bull 0 bull bull 0 bull bullbullbull bull bullbullbullbullbullbullbullbullbullbull 0 0 bullbullbullbullbullbullbull bull

80X GPDpound1 D~QI JERGQtf IIS OIIt1 RC DESIGtl Ytl YES

L l$ 01)1)] 2tOCO YU l70 S$0 bullbull

lSSc nu 125 lOO ubull Sl bull - c o 206 oco oo )00

IWt JOrnvE ~ u lU1 ~)U dU 0

0 0 0 c JJO 1 1 llO 1~0

bull Loe raquotebull

-Pogc 5-lt t t Concltcro OesJgnPmgam - ------------ ----shy

bullbull bull bullbullbullbullbullbull bull bull bullbull bull bull

Bridge Computer Manual - September 1994 bull

o o o o o o o o o o o o o o o

l~ ) Sl ~32i9J PADr

bull bull bullbullbullbull 0 bullbullbullbullbullbullbullbullbullbullbullbullbull bull bullbullbullbullbullbullbullbullbullbullbull 0 bullbull0 bullbullbullbullbull bullbull bullbullbull bullbull bull bull bull bull bull bullbull bull 0 0

c~L-t Dtscs F-POlfJI ( RC) FStNrcFCec comatTE ( i ) PA~TltlLY FR1$TRB$8poundD ~) rtJt) lfZSRZ$1)

CAtH10 Lilbull OfiAJlt JXttT OF fVJSPOtto Oti VeRSIC~ 4 060Ji7

o bull o o o o o o o t o o bull o o bull o o o o o bull o o o o o o o

0 bull 0 bull bull 0 bullbullbullbullbullbullbullbullbull 0 bull bullbullbullbull bullbull bullbullbull bullbullbullbullbull bullbullbullbullbullbullbullbull ~bullbull 0 bull

Tt lpound OT ANALSS

COtml SAMltQttl

COtsm~ SZPVICt bull Qt(K =-TROII

mJIQn ~TT COYiR~SJVE $TRE$$ otrwn co~ eGMPR~xvz $1PAAN YOIJ~S HCOUUlS OR CCNCltrt

YoctUS HOOUtus FOR $TEI ~DAA$ Y llD STRESS 10Jt Sftk REBAA$

YOIJHGS ~OS f(gtR t lilC$$ STtt L UTt~pound STRESS fOlt PRampSTilt$$ itt LOIImiddotAT ~~S SEU

laquolXJA~ RAl O Yl LD iTtpound- IampS tcl MODUtAA RAIO iFESTRfSS STEfL ( EP OCJ

bullbull i tc) bull ( ampQ) bull

( te) bull

($ bull

( FSI ~

) bull

fPI

bull

(

o o o o o o o o o o o o o o o o o o o o o o o o o 1 o 1 o

bull 0 bullbullbullbullbullbullbullbullbullbullbullbullbullbull

La 1SI ~ DOl PI DI )~- ~SJ

2900 0 ltSl GO O itSJ

211000 zs 21amp0 X$~

su 8 (2

17 o ~tn

~ gtTAL MMH bull s so n

0 f lAlaquoi t K lCtH IC0 -1 ) bull lS So FT 00 FU~Ct ~IMH I I ) ll 2 Of FLA~amp 1H1ClttampS$

Wrotll (If 11

DltmO ltgt~G ICtK 1~Ct lotlDttl -

bull i 2S rbull

bull 3 00 tT

(cent0tP) 0 21 63 r-r 22 6) ( TC l ) bull

loOlO~ tmiddot~s fl oNSS fl ) n~bull

Ppge 5middot4 2 Concre te Clsign Program

Bridge Computer Manual - September 1994 bull

bullbullbull 0 bull bull bull bullbullbullbull 0 bull bull

0 bullbullbullbullbullbullbullbull bullbull bullbullbullbullbullbullbullbullbullbullbull bull bullbullbull 0 bull bullbullbullbullbullbull bull bullbullbullbullbullbullbull bull bullbullbull bullbullbullbullbullbullbull bullbullbullbull bullbull bullbull bull bull bullbull bullbull bull bull bullbull 0 bull fAA LCC IJU

IIgtT 0 1 00) o oo

tOTAL AAn OF FU11111H Spoundt I AP ) bull 0 00 so~~ o1n fllCie nt KTrC TO cc or rcsngtss nac oo ~

bull bullbull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull 0 bullbullbullbull bullbullbullbull bullbull bull bull bullbullbullbullbullbullbullbull 0 0 bull bullbullbull bull

LOAD PlllB bull MAX PODMVt ~ittr

mAl ~lY

AJamp iibullMAX l middot lVol ~ ~r

UAbull I1 ~J ( U ( Lo (Omiddot fimiddotMI)MJ M~r U10 iU 7 bull lJi 4Ul 0 0

0 0 0 o 0 1fkS 1)0 1 l7 1( lU ~

OCO KIPS

bullbull0 bull 0 0 0 0 bullbullbull

bull bull

Yl~ ltbull t tJI Mmiddot Stil HbullPAC Pbull PAC

4)1f ~~(4 10 ucu-= bullbullUlL 0 c

ampCAD CJOI4)0tlaquoC$

Hbull S eP bull bull lUX) bull IOmiddottlaquotCI ( SmiddotYOH)

Xhl Hbull BER lfHlH) UH tru t bull rAX Ubull FA bull l JO J 401) 20 bull Ul ~) Oil X co~m~bull lOJ X tbullbullMC() KAJr P bullbullA bull I H X ttbull 30 bull t P~KAXI 1 00 X ro Ci) X IImiddot~middot

PtJge 5~ 13

bullbullbull

Bridge Computer Manual - September 1994 bull

bull bull

bullbullbullbull bullbull bullbull bullbull bullbullbullbullbull

Sbull U bull tiiRVlCt S~SO IN aD Sltt IMJ 1-AX IIbullSIftl t aACX cotmtOI

Ibull AI bull FAflOUE $11EIS lN Kl l) SlCEI US) UWC IN KbullIIK) HbullFAC bull Hmiddot FACrof10 HQNJlT PbullPAC bull PbullfACTCRCD H~T HIN1 bull tttlriUI RJtiIFMCE~ClII 1 11 1 1 1

liASto ON l 2 X ni CAAtUiC HMrt IW O bull M4lIP Ql YDlt-nfV11 ~IIJ~DGYr (ll7 12J

lMJ) 0amp Ti2t AApound1 lttJC tKDUgt G~t TlOrti ~FOUUD lit ANoLrS l S MAX bull ~M ru~~RCDCell (1 1() 1)

liASO o $ I e~CC) S1ttl ltATO

OU TJC2 f1tQK ~ COKtGS r-ll U ta TO tDrUL Utabull At-ntm - na uoc1am CPAC~ ~ tJ- f) tJO a 1

bullbull - 1 59 i53 nt7 con 10 t n ) 4 middot _HbullFAC I IB 2 )) IOCl PmiddottAr 132 1 50 tau u u ))

10 H~l tOl 07 S~2 171t bullbull ) )j10 i U 1SU nss -middot 10 2 26 ~ Cl amp (02~2 1SO C4

0 bullbull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbullbullbull 0 0 bullbullbull 0 bullbullbullbull bull bull bullbull bull bull bullbullbull bullbull comot ~~10 G)l 2 gt0 U il t i U ))

U1lHAt Hlllaquol1 CAJACtt _ fOAl ora MAlf ClT OCT 7 1gtlt TO- I HCICtlT Ju an n bull ~Au CAIACJY

( JO II) 110 H I) ( 1( OJ lS~ D ~ ~QU U~Tt) U NI

COI u t J e~~ U 9 oc ~ OIC lll ) ) n ~ ttOJ lOl ns bullbullbull 111

~Ul~ 1 1

1 T( t M U7 bull bull U)l lClmiddot IJl Ofll ll bullbullbull 2)l1 ese

Conrtee Design Program

bullbullbull

bullbull

Bridge Computer Manual - September 1994 bull

bullbullmiddotmiddotmiddotmiddotmiddotmiddot middotbullmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot bullbull middotmiddotmiddot middotmiddotmiddot middot middotmiddotmiddotbullbullmiddotbullbullmiddotmiddotmiddotmiddotmiddot middotmiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotbullmiddot middotbullmiddotbullmiddotmiddot middotbullbullbullbullbullmiddotmiddotbullmiddotbullmiddotmiddotbullmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotbullmiddot bullmiddotbullmiddotmiddot

uoucrn GICU fIWlsrot~ TIWfliOliltQ ( fTbull bulln 52 0 n 4

lrttiTU ( fT bullf J Ul t 2 U S S79 ( 1gtl) Hl 2 1 = bullbullbullYNA t iN) Ul ll

Lo-o~am ~-o OUXID GJiOlS ~~ lMHSICliiCD

- t tFpoundSDt - t t-~~ - - lnUtiJU - r 10AD 11 0 IOlr((( TOP ~ 10t ~

40) l Sf fttl 602 0

(1 S X SQ~T ret bull 21 PSI

Ym bull OJSgt~ fJtllil ~~SlCM Ftlat TO~ Cl ~JITt

e) bull jJ3~ BOH IXQXI ~UUfof YtA 1C ~ AXt f bull l bull DiSllaquot (middotI = ~SOH

Conctco Design Prormm Paglt1 5middot4 15

--- -

bullbullbullbullbullbullbullbull Bridge Computer Manual - September 1994 bull

bull bullbull bullbull bull bull bull bull bullbull bullbullbullbullbullbullbullbullbullbullbullbull 0 bullbull

0 bullbull bullbullbull bull bullbullbullbullbullbullbullbullbullbull bullbull bull bullbull bull bullbullbullbullbull bullbull bull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbull 0 bullbullbull bull bullbullbull 0 bullbull bullbullbullbull bullbullbull0 bullbull bull bull

bull~DtVlcamp-t-rAnacq-

fAA ~ KU ~liJW rQtl ~4001 au JtllO ~ SJIi SIU Qolt ~ISS $UU kAlaquoJIpound RAQ t Ph SiACS nua uu octc

t~l ~lSu us1 CJtll I ll ) f Nl C~ DCJ triO

221 21 0 ) t) aot 6249 SiS sc lS SmiddotAS li 4 5 uu l 1 12 61 00 u u u a 11 SmiddotAS 31 e )])$ 1)11 1744 lll nu 10 P-PM llJl n u 1) 2) ll l) U 22 S ll lt( U bull P- Jt l tc u oc uu nn U ll 650 4 Lf0 bull fbullTA nti )i 00 U Lt 1121 ll~ s u 4 55 imiddotbullfAC u o )6 0) au ll 2 ) n u )Jl u u Pbullf u ts H Co Jt 112 (3 50 l t-t u bull l

PAC exES

1 bull JJ SAt m US 7U~ HI AAn10 Ml)nctbS (t2l ) raquo Sigt~ Ipound$1 7MAf TKE ~ cAlOlVIS KItllHJiot (P gtU C1)WI ltCirOQ K~ nLo 1(1 UIHlO MlXldJM I S 1 bull (t-201

Pbullgos-4 JG

bull bull bull bull bull bull

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

Example Problem 2

Bent Csp Design

Determine the amount of tension reinforcement r~ed Jn a ~t cap for maximum negative momml considering fotigue and crack control crllorlo

Service Load Dolo DoadLoad H bull Lltgtad P middotLoad

(OL) (Ll+l) (LL+I)

Mu moment -2 146 -706 middot2155 Min moment 0

~ ~6 ~18- _1~

Ibull bull bull bull bull bull bull bull bull bull t -1- 7 i6 Oigtor bar$

(tronsvorso deck sleel) 1- ~1 1 Main Bars

I 11 I

Cap-Section sa bullbull 2

Page 5middot-lt 7 Concl6ttt Design Pagram ------------------shy

bull bull bull

bullbullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

bull bull bull bullbull bullbullbullbullbullbullbullbullbull bull bull bullbullbull bull bull bullbull bull 0 bullbullbullbullbullbullbull bull bull bull

YOtIR ~ Fni)IAi IS OmltA7 CIJ OZSJC~ NH RtlSaRSamp ~ SEit vtl ON eGo t7

OampSJQlt iS= )25 001)) 29000 bullo lO sso bullo iOo- 8 2 5 ( 00 1(middot0 00 middot YAlP 0 11 ltU 1 (1 00 orm 7 2 00 1 coo 0 00 0 01

IOXl~m NCITt~ HO~T

-214 - lCli bull middot2SS bull0 0 0 lll 211 llO lCO 090

Page 5middot4 8

Page 9: Chapter 5-Reinforced Concrete - Caltrans · Box Girder Design ... equilibrium of internal stresses and compatibility of strains. ... mode, the designorenleJo thenumb

bullbullbullbullbullbullbull Bridgo Computer Manual - September 1994 bull

t1llt1rrnl

Width of Web

Enter width of web (ft )

Bottom Flenge EHecllve Width (Comp)

Enter the effective width of the flange when bollom goe$ into compsslon (Code 810)

Bottom Flange EHeclive Width (Ten)

Enter the effective width of the flange when the bottom goes Into lension (Code 82)

Bottom Flange Thickness

Enter the thiclness ofboll om flange (in)

Notes

Since themiiXilnum and minimum appUed moments for the fatiguecheck may be oppDltSite In$lgn the effective compression and tltNon flange width for both the top and the bottom of the section is nquired

By providing theeffective COD1pn1SSionand tension lAnge width for both thetop and bottom of the section the user can design the section for positive moment on one IW then deJign the ltdionfor negatnmiddote rnament on the lIXt run without having to lthange the stnocture data

For rectnngular beams enter the total d epth and width ofweb only

For T-beams enter total depth width of web and top or bortom Iango data only

For flanged beams the tension flange width defaults to the complte$sion flange width

ReiJar Data Panel

Rebar Location

EnlulOGltionofthe regtarTOPorBOT TOPindgtes thatthetebllrawer lsmeasutltd fromthe top of thesection BOTindicates that the rcbnrcovvismeasured from thebottom of the section

Rebar Layer

Enr the type of rebar layer MAll01 oniER The designer must enter at least one MAIN tcnsionrebar layer MAIN tndlcates the rcbor layelt that is to be diJllgted orchecllted Onlyone MAIN rebv layer is allowed at the top and bottom of the section If the applied moments aro positibullY the of $1tcl for the bottom MAll rebar la)er w11 be determined U the appUed momLlt are negative the area of steel for the top MAIN rebar Ioyer will be detcnnined

OTHER rebar Uybullrs considered in thi design but their bullrea of steel is held COI$tl~l These btmiddotus may be in eitier comprC$Slon or tenston depe-nding on their lOCAtion and the applied mornent Up to 6 OTHER rebar layers are allowed

~~bull~nP~mm ----------------------------------- shy

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

t1rlfrans

Total Bars

Enter total number of bars in the layer Since the program computes the riwnber of MAIN tension rebars required the numberofrebars in theMAIN tension layer should beleftblank inDESIGNmodelfthe number of MAIN bars is entered and they go into compression they will be considered as compression steel middot

In the CHECK mode the designer must enter the number of rebars _in the MAINtension layer Always enter the total number of bars in OTHER layers

Bar Size

Enter the Bar sjze

Cover

Enter the distance from the TOP or BOT of the section to the outsid~ of the rebar (in)

Bundle Pattern

Enter a 1 for single bars Enter 2V for two bars bundled in a vertical pattern Enter 2H for two bars bundled in a horizontal pattern

Skew Angle

MAINbarsmaynotbeskewed Only OTHER bars (transverse deck reinforcement) are allowed to be skewed The programcomputes aneffective steel area bymultiplying the actual area of the barsbythe cosine of the skew angle Note byprovidingboththeTOPand BOT MAIN steel the user can design the section for positive moment on one run then design the section for negative moment on the next run without having to change the rebar data

Total Area Of Prestressing Steel

Enter the area of prestressing steel (sq in)

Distance From Bottom Of Section To CG Of Prestress Steel

Enter the distance from the bottom of section to center of gravity of the prestressing steel (in)

Service Load Data Panel

Load Title

Enter a maximum of 40 alphanumeric characters to describe the load

Dead load Moment (DL)

Enter the moment due to dead load (k-ft)

Page 5-48 Concrete Design Program

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

+Load Moment (Ll+l)

Enltrlhemaldmumarominimum~due tostlnlbrclHS-2lltruck impact loadlng (k-It~

PmiddotLoad Moment (LL+I)

Enter the miiXimum moment dwgt to CALTRANS Pennil truck + impact loading (kmiddotfl)

ForPmiddotLoads on clOSltl) spaced girders (PC) used only for superstructures (ie box girders) input the Pmiddot Load for the number of lanes loaded

For widely spaced girders (PW) and subslTuctures (ie bltnt cap) input the P-Load as 115 limes orte lane ofI load (115P) or input 11Slimes one lane of P load plus one laneof H load (IISP + H) which ever controls

Other Moment

Enter any other momet you want to consider (kmiddotft)

Secondary Moment

Enttr prestrti$ing secondary momenL (kft)

Axial Loads

Enter the corresponding axial loads for DEAD LOAD HmiddotLOAO PmiddotLOAD and OTHER LOAO (k)

Load Factors

Enter the appropriate load factors for DEAD LOAD H-LOAD P-LOAO and OTHER LOAD TIbulle default values are 130 217 130 nnd 130 respectively

Strength Reduction Factor

Enterstrength reduction factor for bltnding Default Is 90 for reinforced concrete (RC) and 95 for fully preswssed (FP) and partiaUy prestressed (PP) membltrs

Flnal Prestress Force After All Losses

Enter the final prestress force after all losses inkipt

Notes

Nlarive (middot)moment causes wnslon In the top therefore there must be a ~tlN rebarla)buller at the top oi the section

Posmv~ (+) mom~nt causes tension in the bonom therefore there must be a MAL rebar Jaytr (It the bottom of the section

Minimwn moment is used for the fatigue an_lysls

Pags 5middot49 Cooetftbull Design Program -----------------shy

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

liztrans

Example Problem 1

Box Girder Design

Determine the amount of tension reinforcement required ina box girder for maxim tun positive moment considering fatigue and crack control criteria

Service Load Data Dead Load H- Load P - Load

(DL) (LL+I) (LL+I)

Max moment 4270 2447 4693 Min moment -326

112 -Typical Section

Symmetrical about ~

--- 4 bull fllrets -z_ = ~ shyin

~ If)

co

3-1 2-3 7-8 4-9

17-9

Page 5-410 Concrete Design Program

Bridge Computer Manual - September 1994 bull

bull bullbullbullbull bullbull bull Ycent1R CCNC PtoAft shy0 bullbullbull bull 0 bull bull 0 bull bullbullbull bull bullbullbullbullbullbullbullbullbullbull 0 0 bullbullbullbullbullbullbull bull

80X GPDpound1 D~QI JERGQtf IIS OIIt1 RC DESIGtl Ytl YES

L l$ 01)1)] 2tOCO YU l70 S$0 bullbull

lSSc nu 125 lOO ubull Sl bull - c o 206 oco oo )00

IWt JOrnvE ~ u lU1 ~)U dU 0

0 0 0 c JJO 1 1 llO 1~0

bull Loe raquotebull

-Pogc 5-lt t t Concltcro OesJgnPmgam - ------------ ----shy

bullbull bull bullbullbullbullbullbull bull bull bullbull bull bull

Bridge Computer Manual - September 1994 bull

o o o o o o o o o o o o o o o

l~ ) Sl ~32i9J PADr

bull bull bullbullbullbull 0 bullbullbullbullbullbullbullbullbullbullbullbullbull bull bullbullbullbullbullbullbullbullbullbullbull 0 bullbull0 bullbullbullbullbull bullbull bullbullbull bullbull bull bull bull bull bull bullbull bull 0 0

c~L-t Dtscs F-POlfJI ( RC) FStNrcFCec comatTE ( i ) PA~TltlLY FR1$TRB$8poundD ~) rtJt) lfZSRZ$1)

CAtH10 Lilbull OfiAJlt JXttT OF fVJSPOtto Oti VeRSIC~ 4 060Ji7

o bull o o o o o o o t o o bull o o bull o o o o o bull o o o o o o o

0 bull 0 bull bull 0 bullbullbullbullbullbullbullbullbull 0 bull bullbullbullbull bullbull bullbullbull bullbullbullbullbull bullbullbullbullbullbullbullbull ~bullbull 0 bull

Tt lpound OT ANALSS

COtml SAMltQttl

COtsm~ SZPVICt bull Qt(K =-TROII

mJIQn ~TT COYiR~SJVE $TRE$$ otrwn co~ eGMPR~xvz $1PAAN YOIJ~S HCOUUlS OR CCNCltrt

YoctUS HOOUtus FOR $TEI ~DAA$ Y llD STRESS 10Jt Sftk REBAA$

YOIJHGS ~OS f(gtR t lilC$$ STtt L UTt~pound STRESS fOlt PRampSTilt$$ itt LOIImiddotAT ~~S SEU

laquolXJA~ RAl O Yl LD iTtpound- IampS tcl MODUtAA RAIO iFESTRfSS STEfL ( EP OCJ

bullbull i tc) bull ( ampQ) bull

( te) bull

($ bull

( FSI ~

) bull

fPI

bull

(

o o o o o o o o o o o o o o o o o o o o o o o o o 1 o 1 o

bull 0 bullbullbullbullbullbullbullbullbullbullbullbullbullbull

La 1SI ~ DOl PI DI )~- ~SJ

2900 0 ltSl GO O itSJ

211000 zs 21amp0 X$~

su 8 (2

17 o ~tn

~ gtTAL MMH bull s so n

0 f lAlaquoi t K lCtH IC0 -1 ) bull lS So FT 00 FU~Ct ~IMH I I ) ll 2 Of FLA~amp 1H1ClttampS$

Wrotll (If 11

DltmO ltgt~G ICtK 1~Ct lotlDttl -

bull i 2S rbull

bull 3 00 tT

(cent0tP) 0 21 63 r-r 22 6) ( TC l ) bull

loOlO~ tmiddot~s fl oNSS fl ) n~bull

Ppge 5middot4 2 Concre te Clsign Program

Bridge Computer Manual - September 1994 bull

bullbullbull 0 bull bull bull bullbullbullbull 0 bull bull

0 bullbullbullbullbullbullbullbull bullbull bullbullbullbullbullbullbullbullbullbullbull bull bullbullbull 0 bull bullbullbullbullbullbull bull bullbullbullbullbullbullbull bull bullbullbull bullbullbullbullbullbullbull bullbullbullbull bullbull bullbull bull bull bullbull bullbull bull bull bullbull 0 bull fAA LCC IJU

IIgtT 0 1 00) o oo

tOTAL AAn OF FU11111H Spoundt I AP ) bull 0 00 so~~ o1n fllCie nt KTrC TO cc or rcsngtss nac oo ~

bull bullbull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull 0 bullbullbullbull bullbullbullbull bullbull bull bull bullbullbullbullbullbullbullbull 0 0 bull bullbullbull bull

LOAD PlllB bull MAX PODMVt ~ittr

mAl ~lY

AJamp iibullMAX l middot lVol ~ ~r

UAbull I1 ~J ( U ( Lo (Omiddot fimiddotMI)MJ M~r U10 iU 7 bull lJi 4Ul 0 0

0 0 0 o 0 1fkS 1)0 1 l7 1( lU ~

OCO KIPS

bullbull0 bull 0 0 0 0 bullbullbull

bull bull

Yl~ ltbull t tJI Mmiddot Stil HbullPAC Pbull PAC

4)1f ~~(4 10 ucu-= bullbullUlL 0 c

ampCAD CJOI4)0tlaquoC$

Hbull S eP bull bull lUX) bull IOmiddottlaquotCI ( SmiddotYOH)

Xhl Hbull BER lfHlH) UH tru t bull rAX Ubull FA bull l JO J 401) 20 bull Ul ~) Oil X co~m~bull lOJ X tbullbullMC() KAJr P bullbullA bull I H X ttbull 30 bull t P~KAXI 1 00 X ro Ci) X IImiddot~middot

PtJge 5~ 13

bullbullbull

Bridge Computer Manual - September 1994 bull

bull bull

bullbullbullbull bullbull bullbull bullbull bullbullbullbullbull

Sbull U bull tiiRVlCt S~SO IN aD Sltt IMJ 1-AX IIbullSIftl t aACX cotmtOI

Ibull AI bull FAflOUE $11EIS lN Kl l) SlCEI US) UWC IN KbullIIK) HbullFAC bull Hmiddot FACrof10 HQNJlT PbullPAC bull PbullfACTCRCD H~T HIN1 bull tttlriUI RJtiIFMCE~ClII 1 11 1 1 1

liASto ON l 2 X ni CAAtUiC HMrt IW O bull M4lIP Ql YDlt-nfV11 ~IIJ~DGYr (ll7 12J

lMJ) 0amp Ti2t AApound1 lttJC tKDUgt G~t TlOrti ~FOUUD lit ANoLrS l S MAX bull ~M ru~~RCDCell (1 1() 1)

liASO o $ I e~CC) S1ttl ltATO

OU TJC2 f1tQK ~ COKtGS r-ll U ta TO tDrUL Utabull At-ntm - na uoc1am CPAC~ ~ tJ- f) tJO a 1

bullbull - 1 59 i53 nt7 con 10 t n ) 4 middot _HbullFAC I IB 2 )) IOCl PmiddottAr 132 1 50 tau u u ))

10 H~l tOl 07 S~2 171t bullbull ) )j10 i U 1SU nss -middot 10 2 26 ~ Cl amp (02~2 1SO C4

0 bullbull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbullbullbull 0 0 bullbullbull 0 bullbullbullbull bull bull bullbull bull bull bullbullbull bullbull comot ~~10 G)l 2 gt0 U il t i U ))

U1lHAt Hlllaquol1 CAJACtt _ fOAl ora MAlf ClT OCT 7 1gtlt TO- I HCICtlT Ju an n bull ~Au CAIACJY

( JO II) 110 H I) ( 1( OJ lS~ D ~ ~QU U~Tt) U NI

COI u t J e~~ U 9 oc ~ OIC lll ) ) n ~ ttOJ lOl ns bullbullbull 111

~Ul~ 1 1

1 T( t M U7 bull bull U)l lClmiddot IJl Ofll ll bullbullbull 2)l1 ese

Conrtee Design Program

bullbullbull

bullbull

Bridge Computer Manual - September 1994 bull

bullbullmiddotmiddotmiddotmiddotmiddotmiddot middotbullmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot bullbull middotmiddotmiddot middotmiddotmiddot middot middotmiddotmiddotbullbullmiddotbullbullmiddotmiddotmiddotmiddotmiddot middotmiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotbullmiddot middotbullmiddotbullmiddotmiddot middotbullbullbullbullbullmiddotmiddotbullmiddotbullmiddotmiddotbullmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotbullmiddot bullmiddotbullmiddotmiddot

uoucrn GICU fIWlsrot~ TIWfliOliltQ ( fTbull bulln 52 0 n 4

lrttiTU ( fT bullf J Ul t 2 U S S79 ( 1gtl) Hl 2 1 = bullbullbullYNA t iN) Ul ll

Lo-o~am ~-o OUXID GJiOlS ~~ lMHSICliiCD

- t tFpoundSDt - t t-~~ - - lnUtiJU - r 10AD 11 0 IOlr((( TOP ~ 10t ~

40) l Sf fttl 602 0

(1 S X SQ~T ret bull 21 PSI

Ym bull OJSgt~ fJtllil ~~SlCM Ftlat TO~ Cl ~JITt

e) bull jJ3~ BOH IXQXI ~UUfof YtA 1C ~ AXt f bull l bull DiSllaquot (middotI = ~SOH

Conctco Design Prormm Paglt1 5middot4 15

--- -

bullbullbullbullbullbullbullbull Bridge Computer Manual - September 1994 bull

bull bullbull bullbull bull bull bull bull bullbull bullbullbullbullbullbullbullbullbullbullbullbull 0 bullbull

0 bullbull bullbullbull bull bullbullbullbullbullbullbullbullbullbull bullbull bull bullbull bull bullbullbullbullbull bullbull bull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbull 0 bullbullbull bull bullbullbull 0 bullbull bullbullbullbull bullbullbull0 bullbull bull bull

bull~DtVlcamp-t-rAnacq-

fAA ~ KU ~liJW rQtl ~4001 au JtllO ~ SJIi SIU Qolt ~ISS $UU kAlaquoJIpound RAQ t Ph SiACS nua uu octc

t~l ~lSu us1 CJtll I ll ) f Nl C~ DCJ triO

221 21 0 ) t) aot 6249 SiS sc lS SmiddotAS li 4 5 uu l 1 12 61 00 u u u a 11 SmiddotAS 31 e )])$ 1)11 1744 lll nu 10 P-PM llJl n u 1) 2) ll l) U 22 S ll lt( U bull P- Jt l tc u oc uu nn U ll 650 4 Lf0 bull fbullTA nti )i 00 U Lt 1121 ll~ s u 4 55 imiddotbullfAC u o )6 0) au ll 2 ) n u )Jl u u Pbullf u ts H Co Jt 112 (3 50 l t-t u bull l

PAC exES

1 bull JJ SAt m US 7U~ HI AAn10 Ml)nctbS (t2l ) raquo Sigt~ Ipound$1 7MAf TKE ~ cAlOlVIS KItllHJiot (P gtU C1)WI ltCirOQ K~ nLo 1(1 UIHlO MlXldJM I S 1 bull (t-201

Pbullgos-4 JG

bull bull bull bull bull bull

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

Example Problem 2

Bent Csp Design

Determine the amount of tension reinforcement r~ed Jn a ~t cap for maximum negative momml considering fotigue and crack control crllorlo

Service Load Dolo DoadLoad H bull Lltgtad P middotLoad

(OL) (Ll+l) (LL+I)

Mu moment -2 146 -706 middot2155 Min moment 0

~ ~6 ~18- _1~

Ibull bull bull bull bull bull bull bull bull bull t -1- 7 i6 Oigtor bar$

(tronsvorso deck sleel) 1- ~1 1 Main Bars

I 11 I

Cap-Section sa bullbull 2

Page 5middot-lt 7 Concl6ttt Design Pagram ------------------shy

bull bull bull

bullbullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

bull bull bull bullbull bullbullbullbullbullbullbullbullbull bull bull bullbullbull bull bull bullbull bull 0 bullbullbullbullbullbullbull bull bull bull

YOtIR ~ Fni)IAi IS OmltA7 CIJ OZSJC~ NH RtlSaRSamp ~ SEit vtl ON eGo t7

OampSJQlt iS= )25 001)) 29000 bullo lO sso bullo iOo- 8 2 5 ( 00 1(middot0 00 middot YAlP 0 11 ltU 1 (1 00 orm 7 2 00 1 coo 0 00 0 01

IOXl~m NCITt~ HO~T

-214 - lCli bull middot2SS bull0 0 0 lll 211 llO lCO 090

Page 5middot4 8

Page 10: Chapter 5-Reinforced Concrete - Caltrans · Box Girder Design ... equilibrium of internal stresses and compatibility of strains. ... mode, the designorenleJo thenumb

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

t1rlfrans

Total Bars

Enter total number of bars in the layer Since the program computes the riwnber of MAIN tension rebars required the numberofrebars in theMAIN tension layer should beleftblank inDESIGNmodelfthe number of MAIN bars is entered and they go into compression they will be considered as compression steel middot

In the CHECK mode the designer must enter the number of rebars _in the MAINtension layer Always enter the total number of bars in OTHER layers

Bar Size

Enter the Bar sjze

Cover

Enter the distance from the TOP or BOT of the section to the outsid~ of the rebar (in)

Bundle Pattern

Enter a 1 for single bars Enter 2V for two bars bundled in a vertical pattern Enter 2H for two bars bundled in a horizontal pattern

Skew Angle

MAINbarsmaynotbeskewed Only OTHER bars (transverse deck reinforcement) are allowed to be skewed The programcomputes aneffective steel area bymultiplying the actual area of the barsbythe cosine of the skew angle Note byprovidingboththeTOPand BOT MAIN steel the user can design the section for positive moment on one run then design the section for negative moment on the next run without having to change the rebar data

Total Area Of Prestressing Steel

Enter the area of prestressing steel (sq in)

Distance From Bottom Of Section To CG Of Prestress Steel

Enter the distance from the bottom of section to center of gravity of the prestressing steel (in)

Service Load Data Panel

Load Title

Enter a maximum of 40 alphanumeric characters to describe the load

Dead load Moment (DL)

Enter the moment due to dead load (k-ft)

Page 5-48 Concrete Design Program

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

+Load Moment (Ll+l)

Enltrlhemaldmumarominimum~due tostlnlbrclHS-2lltruck impact loadlng (k-It~

PmiddotLoad Moment (LL+I)

Enter the miiXimum moment dwgt to CALTRANS Pennil truck + impact loading (kmiddotfl)

ForPmiddotLoads on clOSltl) spaced girders (PC) used only for superstructures (ie box girders) input the Pmiddot Load for the number of lanes loaded

For widely spaced girders (PW) and subslTuctures (ie bltnt cap) input the P-Load as 115 limes orte lane ofI load (115P) or input 11Slimes one lane of P load plus one laneof H load (IISP + H) which ever controls

Other Moment

Enter any other momet you want to consider (kmiddotft)

Secondary Moment

Enttr prestrti$ing secondary momenL (kft)

Axial Loads

Enter the corresponding axial loads for DEAD LOAD HmiddotLOAO PmiddotLOAD and OTHER LOAO (k)

Load Factors

Enter the appropriate load factors for DEAD LOAD H-LOAD P-LOAO and OTHER LOAD TIbulle default values are 130 217 130 nnd 130 respectively

Strength Reduction Factor

Enterstrength reduction factor for bltnding Default Is 90 for reinforced concrete (RC) and 95 for fully preswssed (FP) and partiaUy prestressed (PP) membltrs

Flnal Prestress Force After All Losses

Enter the final prestress force after all losses inkipt

Notes

Nlarive (middot)moment causes wnslon In the top therefore there must be a ~tlN rebarla)buller at the top oi the section

Posmv~ (+) mom~nt causes tension in the bonom therefore there must be a MAL rebar Jaytr (It the bottom of the section

Minimwn moment is used for the fatigue an_lysls

Pags 5middot49 Cooetftbull Design Program -----------------shy

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

liztrans

Example Problem 1

Box Girder Design

Determine the amount of tension reinforcement required ina box girder for maxim tun positive moment considering fatigue and crack control criteria

Service Load Data Dead Load H- Load P - Load

(DL) (LL+I) (LL+I)

Max moment 4270 2447 4693 Min moment -326

112 -Typical Section

Symmetrical about ~

--- 4 bull fllrets -z_ = ~ shyin

~ If)

co

3-1 2-3 7-8 4-9

17-9

Page 5-410 Concrete Design Program

Bridge Computer Manual - September 1994 bull

bull bullbullbullbull bullbull bull Ycent1R CCNC PtoAft shy0 bullbullbull bull 0 bull bull 0 bull bullbullbull bull bullbullbullbullbullbullbullbullbullbull 0 0 bullbullbullbullbullbullbull bull

80X GPDpound1 D~QI JERGQtf IIS OIIt1 RC DESIGtl Ytl YES

L l$ 01)1)] 2tOCO YU l70 S$0 bullbull

lSSc nu 125 lOO ubull Sl bull - c o 206 oco oo )00

IWt JOrnvE ~ u lU1 ~)U dU 0

0 0 0 c JJO 1 1 llO 1~0

bull Loe raquotebull

-Pogc 5-lt t t Concltcro OesJgnPmgam - ------------ ----shy

bullbull bull bullbullbullbullbullbull bull bull bullbull bull bull

Bridge Computer Manual - September 1994 bull

o o o o o o o o o o o o o o o

l~ ) Sl ~32i9J PADr

bull bull bullbullbullbull 0 bullbullbullbullbullbullbullbullbullbullbullbullbull bull bullbullbullbullbullbullbullbullbullbullbull 0 bullbull0 bullbullbullbullbull bullbull bullbullbull bullbull bull bull bull bull bull bullbull bull 0 0

c~L-t Dtscs F-POlfJI ( RC) FStNrcFCec comatTE ( i ) PA~TltlLY FR1$TRB$8poundD ~) rtJt) lfZSRZ$1)

CAtH10 Lilbull OfiAJlt JXttT OF fVJSPOtto Oti VeRSIC~ 4 060Ji7

o bull o o o o o o o t o o bull o o bull o o o o o bull o o o o o o o

0 bull 0 bull bull 0 bullbullbullbullbullbullbullbullbull 0 bull bullbullbullbull bullbull bullbullbull bullbullbullbullbull bullbullbullbullbullbullbullbull ~bullbull 0 bull

Tt lpound OT ANALSS

COtml SAMltQttl

COtsm~ SZPVICt bull Qt(K =-TROII

mJIQn ~TT COYiR~SJVE $TRE$$ otrwn co~ eGMPR~xvz $1PAAN YOIJ~S HCOUUlS OR CCNCltrt

YoctUS HOOUtus FOR $TEI ~DAA$ Y llD STRESS 10Jt Sftk REBAA$

YOIJHGS ~OS f(gtR t lilC$$ STtt L UTt~pound STRESS fOlt PRampSTilt$$ itt LOIImiddotAT ~~S SEU

laquolXJA~ RAl O Yl LD iTtpound- IampS tcl MODUtAA RAIO iFESTRfSS STEfL ( EP OCJ

bullbull i tc) bull ( ampQ) bull

( te) bull

($ bull

( FSI ~

) bull

fPI

bull

(

o o o o o o o o o o o o o o o o o o o o o o o o o 1 o 1 o

bull 0 bullbullbullbullbullbullbullbullbullbullbullbullbullbull

La 1SI ~ DOl PI DI )~- ~SJ

2900 0 ltSl GO O itSJ

211000 zs 21amp0 X$~

su 8 (2

17 o ~tn

~ gtTAL MMH bull s so n

0 f lAlaquoi t K lCtH IC0 -1 ) bull lS So FT 00 FU~Ct ~IMH I I ) ll 2 Of FLA~amp 1H1ClttampS$

Wrotll (If 11

DltmO ltgt~G ICtK 1~Ct lotlDttl -

bull i 2S rbull

bull 3 00 tT

(cent0tP) 0 21 63 r-r 22 6) ( TC l ) bull

loOlO~ tmiddot~s fl oNSS fl ) n~bull

Ppge 5middot4 2 Concre te Clsign Program

Bridge Computer Manual - September 1994 bull

bullbullbull 0 bull bull bull bullbullbullbull 0 bull bull

0 bullbullbullbullbullbullbullbull bullbull bullbullbullbullbullbullbullbullbullbullbull bull bullbullbull 0 bull bullbullbullbullbullbull bull bullbullbullbullbullbullbull bull bullbullbull bullbullbullbullbullbullbull bullbullbullbull bullbull bullbull bull bull bullbull bullbull bull bull bullbull 0 bull fAA LCC IJU

IIgtT 0 1 00) o oo

tOTAL AAn OF FU11111H Spoundt I AP ) bull 0 00 so~~ o1n fllCie nt KTrC TO cc or rcsngtss nac oo ~

bull bullbull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull 0 bullbullbullbull bullbullbullbull bullbull bull bull bullbullbullbullbullbullbullbull 0 0 bull bullbullbull bull

LOAD PlllB bull MAX PODMVt ~ittr

mAl ~lY

AJamp iibullMAX l middot lVol ~ ~r

UAbull I1 ~J ( U ( Lo (Omiddot fimiddotMI)MJ M~r U10 iU 7 bull lJi 4Ul 0 0

0 0 0 o 0 1fkS 1)0 1 l7 1( lU ~

OCO KIPS

bullbull0 bull 0 0 0 0 bullbullbull

bull bull

Yl~ ltbull t tJI Mmiddot Stil HbullPAC Pbull PAC

4)1f ~~(4 10 ucu-= bullbullUlL 0 c

ampCAD CJOI4)0tlaquoC$

Hbull S eP bull bull lUX) bull IOmiddottlaquotCI ( SmiddotYOH)

Xhl Hbull BER lfHlH) UH tru t bull rAX Ubull FA bull l JO J 401) 20 bull Ul ~) Oil X co~m~bull lOJ X tbullbullMC() KAJr P bullbullA bull I H X ttbull 30 bull t P~KAXI 1 00 X ro Ci) X IImiddot~middot

PtJge 5~ 13

bullbullbull

Bridge Computer Manual - September 1994 bull

bull bull

bullbullbullbull bullbull bullbull bullbull bullbullbullbullbull

Sbull U bull tiiRVlCt S~SO IN aD Sltt IMJ 1-AX IIbullSIftl t aACX cotmtOI

Ibull AI bull FAflOUE $11EIS lN Kl l) SlCEI US) UWC IN KbullIIK) HbullFAC bull Hmiddot FACrof10 HQNJlT PbullPAC bull PbullfACTCRCD H~T HIN1 bull tttlriUI RJtiIFMCE~ClII 1 11 1 1 1

liASto ON l 2 X ni CAAtUiC HMrt IW O bull M4lIP Ql YDlt-nfV11 ~IIJ~DGYr (ll7 12J

lMJ) 0amp Ti2t AApound1 lttJC tKDUgt G~t TlOrti ~FOUUD lit ANoLrS l S MAX bull ~M ru~~RCDCell (1 1() 1)

liASO o $ I e~CC) S1ttl ltATO

OU TJC2 f1tQK ~ COKtGS r-ll U ta TO tDrUL Utabull At-ntm - na uoc1am CPAC~ ~ tJ- f) tJO a 1

bullbull - 1 59 i53 nt7 con 10 t n ) 4 middot _HbullFAC I IB 2 )) IOCl PmiddottAr 132 1 50 tau u u ))

10 H~l tOl 07 S~2 171t bullbull ) )j10 i U 1SU nss -middot 10 2 26 ~ Cl amp (02~2 1SO C4

0 bullbull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbullbullbull 0 0 bullbullbull 0 bullbullbullbull bull bull bullbull bull bull bullbullbull bullbull comot ~~10 G)l 2 gt0 U il t i U ))

U1lHAt Hlllaquol1 CAJACtt _ fOAl ora MAlf ClT OCT 7 1gtlt TO- I HCICtlT Ju an n bull ~Au CAIACJY

( JO II) 110 H I) ( 1( OJ lS~ D ~ ~QU U~Tt) U NI

COI u t J e~~ U 9 oc ~ OIC lll ) ) n ~ ttOJ lOl ns bullbullbull 111

~Ul~ 1 1

1 T( t M U7 bull bull U)l lClmiddot IJl Ofll ll bullbullbull 2)l1 ese

Conrtee Design Program

bullbullbull

bullbull

Bridge Computer Manual - September 1994 bull

bullbullmiddotmiddotmiddotmiddotmiddotmiddot middotbullmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot bullbull middotmiddotmiddot middotmiddotmiddot middot middotmiddotmiddotbullbullmiddotbullbullmiddotmiddotmiddotmiddotmiddot middotmiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotbullmiddot middotbullmiddotbullmiddotmiddot middotbullbullbullbullbullmiddotmiddotbullmiddotbullmiddotmiddotbullmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotbullmiddot bullmiddotbullmiddotmiddot

uoucrn GICU fIWlsrot~ TIWfliOliltQ ( fTbull bulln 52 0 n 4

lrttiTU ( fT bullf J Ul t 2 U S S79 ( 1gtl) Hl 2 1 = bullbullbullYNA t iN) Ul ll

Lo-o~am ~-o OUXID GJiOlS ~~ lMHSICliiCD

- t tFpoundSDt - t t-~~ - - lnUtiJU - r 10AD 11 0 IOlr((( TOP ~ 10t ~

40) l Sf fttl 602 0

(1 S X SQ~T ret bull 21 PSI

Ym bull OJSgt~ fJtllil ~~SlCM Ftlat TO~ Cl ~JITt

e) bull jJ3~ BOH IXQXI ~UUfof YtA 1C ~ AXt f bull l bull DiSllaquot (middotI = ~SOH

Conctco Design Prormm Paglt1 5middot4 15

--- -

bullbullbullbullbullbullbullbull Bridge Computer Manual - September 1994 bull

bull bullbull bullbull bull bull bull bull bullbull bullbullbullbullbullbullbullbullbullbullbullbull 0 bullbull

0 bullbull bullbullbull bull bullbullbullbullbullbullbullbullbullbull bullbull bull bullbull bull bullbullbullbullbull bullbull bull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbull 0 bullbullbull bull bullbullbull 0 bullbull bullbullbullbull bullbullbull0 bullbull bull bull

bull~DtVlcamp-t-rAnacq-

fAA ~ KU ~liJW rQtl ~4001 au JtllO ~ SJIi SIU Qolt ~ISS $UU kAlaquoJIpound RAQ t Ph SiACS nua uu octc

t~l ~lSu us1 CJtll I ll ) f Nl C~ DCJ triO

221 21 0 ) t) aot 6249 SiS sc lS SmiddotAS li 4 5 uu l 1 12 61 00 u u u a 11 SmiddotAS 31 e )])$ 1)11 1744 lll nu 10 P-PM llJl n u 1) 2) ll l) U 22 S ll lt( U bull P- Jt l tc u oc uu nn U ll 650 4 Lf0 bull fbullTA nti )i 00 U Lt 1121 ll~ s u 4 55 imiddotbullfAC u o )6 0) au ll 2 ) n u )Jl u u Pbullf u ts H Co Jt 112 (3 50 l t-t u bull l

PAC exES

1 bull JJ SAt m US 7U~ HI AAn10 Ml)nctbS (t2l ) raquo Sigt~ Ipound$1 7MAf TKE ~ cAlOlVIS KItllHJiot (P gtU C1)WI ltCirOQ K~ nLo 1(1 UIHlO MlXldJM I S 1 bull (t-201

Pbullgos-4 JG

bull bull bull bull bull bull

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

Example Problem 2

Bent Csp Design

Determine the amount of tension reinforcement r~ed Jn a ~t cap for maximum negative momml considering fotigue and crack control crllorlo

Service Load Dolo DoadLoad H bull Lltgtad P middotLoad

(OL) (Ll+l) (LL+I)

Mu moment -2 146 -706 middot2155 Min moment 0

~ ~6 ~18- _1~

Ibull bull bull bull bull bull bull bull bull bull t -1- 7 i6 Oigtor bar$

(tronsvorso deck sleel) 1- ~1 1 Main Bars

I 11 I

Cap-Section sa bullbull 2

Page 5middot-lt 7 Concl6ttt Design Pagram ------------------shy

bull bull bull

bullbullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

bull bull bull bullbull bullbullbullbullbullbullbullbullbull bull bull bullbullbull bull bull bullbull bull 0 bullbullbullbullbullbullbull bull bull bull

YOtIR ~ Fni)IAi IS OmltA7 CIJ OZSJC~ NH RtlSaRSamp ~ SEit vtl ON eGo t7

OampSJQlt iS= )25 001)) 29000 bullo lO sso bullo iOo- 8 2 5 ( 00 1(middot0 00 middot YAlP 0 11 ltU 1 (1 00 orm 7 2 00 1 coo 0 00 0 01

IOXl~m NCITt~ HO~T

-214 - lCli bull middot2SS bull0 0 0 lll 211 llO lCO 090

Page 5middot4 8

Page 11: Chapter 5-Reinforced Concrete - Caltrans · Box Girder Design ... equilibrium of internal stresses and compatibility of strains. ... mode, the designorenleJo thenumb

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

+Load Moment (Ll+l)

Enltrlhemaldmumarominimum~due tostlnlbrclHS-2lltruck impact loadlng (k-It~

PmiddotLoad Moment (LL+I)

Enter the miiXimum moment dwgt to CALTRANS Pennil truck + impact loading (kmiddotfl)

ForPmiddotLoads on clOSltl) spaced girders (PC) used only for superstructures (ie box girders) input the Pmiddot Load for the number of lanes loaded

For widely spaced girders (PW) and subslTuctures (ie bltnt cap) input the P-Load as 115 limes orte lane ofI load (115P) or input 11Slimes one lane of P load plus one laneof H load (IISP + H) which ever controls

Other Moment

Enter any other momet you want to consider (kmiddotft)

Secondary Moment

Enttr prestrti$ing secondary momenL (kft)

Axial Loads

Enter the corresponding axial loads for DEAD LOAD HmiddotLOAO PmiddotLOAD and OTHER LOAO (k)

Load Factors

Enter the appropriate load factors for DEAD LOAD H-LOAD P-LOAO and OTHER LOAD TIbulle default values are 130 217 130 nnd 130 respectively

Strength Reduction Factor

Enterstrength reduction factor for bltnding Default Is 90 for reinforced concrete (RC) and 95 for fully preswssed (FP) and partiaUy prestressed (PP) membltrs

Flnal Prestress Force After All Losses

Enter the final prestress force after all losses inkipt

Notes

Nlarive (middot)moment causes wnslon In the top therefore there must be a ~tlN rebarla)buller at the top oi the section

Posmv~ (+) mom~nt causes tension in the bonom therefore there must be a MAL rebar Jaytr (It the bottom of the section

Minimwn moment is used for the fatigue an_lysls

Pags 5middot49 Cooetftbull Design Program -----------------shy

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

liztrans

Example Problem 1

Box Girder Design

Determine the amount of tension reinforcement required ina box girder for maxim tun positive moment considering fatigue and crack control criteria

Service Load Data Dead Load H- Load P - Load

(DL) (LL+I) (LL+I)

Max moment 4270 2447 4693 Min moment -326

112 -Typical Section

Symmetrical about ~

--- 4 bull fllrets -z_ = ~ shyin

~ If)

co

3-1 2-3 7-8 4-9

17-9

Page 5-410 Concrete Design Program

Bridge Computer Manual - September 1994 bull

bull bullbullbullbull bullbull bull Ycent1R CCNC PtoAft shy0 bullbullbull bull 0 bull bull 0 bull bullbullbull bull bullbullbullbullbullbullbullbullbullbull 0 0 bullbullbullbullbullbullbull bull

80X GPDpound1 D~QI JERGQtf IIS OIIt1 RC DESIGtl Ytl YES

L l$ 01)1)] 2tOCO YU l70 S$0 bullbull

lSSc nu 125 lOO ubull Sl bull - c o 206 oco oo )00

IWt JOrnvE ~ u lU1 ~)U dU 0

0 0 0 c JJO 1 1 llO 1~0

bull Loe raquotebull

-Pogc 5-lt t t Concltcro OesJgnPmgam - ------------ ----shy

bullbull bull bullbullbullbullbullbull bull bull bullbull bull bull

Bridge Computer Manual - September 1994 bull

o o o o o o o o o o o o o o o

l~ ) Sl ~32i9J PADr

bull bull bullbullbullbull 0 bullbullbullbullbullbullbullbullbullbullbullbullbull bull bullbullbullbullbullbullbullbullbullbullbull 0 bullbull0 bullbullbullbullbull bullbull bullbullbull bullbull bull bull bull bull bull bullbull bull 0 0

c~L-t Dtscs F-POlfJI ( RC) FStNrcFCec comatTE ( i ) PA~TltlLY FR1$TRB$8poundD ~) rtJt) lfZSRZ$1)

CAtH10 Lilbull OfiAJlt JXttT OF fVJSPOtto Oti VeRSIC~ 4 060Ji7

o bull o o o o o o o t o o bull o o bull o o o o o bull o o o o o o o

0 bull 0 bull bull 0 bullbullbullbullbullbullbullbullbull 0 bull bullbullbullbull bullbull bullbullbull bullbullbullbullbull bullbullbullbullbullbullbullbull ~bullbull 0 bull

Tt lpound OT ANALSS

COtml SAMltQttl

COtsm~ SZPVICt bull Qt(K =-TROII

mJIQn ~TT COYiR~SJVE $TRE$$ otrwn co~ eGMPR~xvz $1PAAN YOIJ~S HCOUUlS OR CCNCltrt

YoctUS HOOUtus FOR $TEI ~DAA$ Y llD STRESS 10Jt Sftk REBAA$

YOIJHGS ~OS f(gtR t lilC$$ STtt L UTt~pound STRESS fOlt PRampSTilt$$ itt LOIImiddotAT ~~S SEU

laquolXJA~ RAl O Yl LD iTtpound- IampS tcl MODUtAA RAIO iFESTRfSS STEfL ( EP OCJ

bullbull i tc) bull ( ampQ) bull

( te) bull

($ bull

( FSI ~

) bull

fPI

bull

(

o o o o o o o o o o o o o o o o o o o o o o o o o 1 o 1 o

bull 0 bullbullbullbullbullbullbullbullbullbullbullbullbullbull

La 1SI ~ DOl PI DI )~- ~SJ

2900 0 ltSl GO O itSJ

211000 zs 21amp0 X$~

su 8 (2

17 o ~tn

~ gtTAL MMH bull s so n

0 f lAlaquoi t K lCtH IC0 -1 ) bull lS So FT 00 FU~Ct ~IMH I I ) ll 2 Of FLA~amp 1H1ClttampS$

Wrotll (If 11

DltmO ltgt~G ICtK 1~Ct lotlDttl -

bull i 2S rbull

bull 3 00 tT

(cent0tP) 0 21 63 r-r 22 6) ( TC l ) bull

loOlO~ tmiddot~s fl oNSS fl ) n~bull

Ppge 5middot4 2 Concre te Clsign Program

Bridge Computer Manual - September 1994 bull

bullbullbull 0 bull bull bull bullbullbullbull 0 bull bull

0 bullbullbullbullbullbullbullbull bullbull bullbullbullbullbullbullbullbullbullbullbull bull bullbullbull 0 bull bullbullbullbullbullbull bull bullbullbullbullbullbullbull bull bullbullbull bullbullbullbullbullbullbull bullbullbullbull bullbull bullbull bull bull bullbull bullbull bull bull bullbull 0 bull fAA LCC IJU

IIgtT 0 1 00) o oo

tOTAL AAn OF FU11111H Spoundt I AP ) bull 0 00 so~~ o1n fllCie nt KTrC TO cc or rcsngtss nac oo ~

bull bullbull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull 0 bullbullbullbull bullbullbullbull bullbull bull bull bullbullbullbullbullbullbullbull 0 0 bull bullbullbull bull

LOAD PlllB bull MAX PODMVt ~ittr

mAl ~lY

AJamp iibullMAX l middot lVol ~ ~r

UAbull I1 ~J ( U ( Lo (Omiddot fimiddotMI)MJ M~r U10 iU 7 bull lJi 4Ul 0 0

0 0 0 o 0 1fkS 1)0 1 l7 1( lU ~

OCO KIPS

bullbull0 bull 0 0 0 0 bullbullbull

bull bull

Yl~ ltbull t tJI Mmiddot Stil HbullPAC Pbull PAC

4)1f ~~(4 10 ucu-= bullbullUlL 0 c

ampCAD CJOI4)0tlaquoC$

Hbull S eP bull bull lUX) bull IOmiddottlaquotCI ( SmiddotYOH)

Xhl Hbull BER lfHlH) UH tru t bull rAX Ubull FA bull l JO J 401) 20 bull Ul ~) Oil X co~m~bull lOJ X tbullbullMC() KAJr P bullbullA bull I H X ttbull 30 bull t P~KAXI 1 00 X ro Ci) X IImiddot~middot

PtJge 5~ 13

bullbullbull

Bridge Computer Manual - September 1994 bull

bull bull

bullbullbullbull bullbull bullbull bullbull bullbullbullbullbull

Sbull U bull tiiRVlCt S~SO IN aD Sltt IMJ 1-AX IIbullSIftl t aACX cotmtOI

Ibull AI bull FAflOUE $11EIS lN Kl l) SlCEI US) UWC IN KbullIIK) HbullFAC bull Hmiddot FACrof10 HQNJlT PbullPAC bull PbullfACTCRCD H~T HIN1 bull tttlriUI RJtiIFMCE~ClII 1 11 1 1 1

liASto ON l 2 X ni CAAtUiC HMrt IW O bull M4lIP Ql YDlt-nfV11 ~IIJ~DGYr (ll7 12J

lMJ) 0amp Ti2t AApound1 lttJC tKDUgt G~t TlOrti ~FOUUD lit ANoLrS l S MAX bull ~M ru~~RCDCell (1 1() 1)

liASO o $ I e~CC) S1ttl ltATO

OU TJC2 f1tQK ~ COKtGS r-ll U ta TO tDrUL Utabull At-ntm - na uoc1am CPAC~ ~ tJ- f) tJO a 1

bullbull - 1 59 i53 nt7 con 10 t n ) 4 middot _HbullFAC I IB 2 )) IOCl PmiddottAr 132 1 50 tau u u ))

10 H~l tOl 07 S~2 171t bullbull ) )j10 i U 1SU nss -middot 10 2 26 ~ Cl amp (02~2 1SO C4

0 bullbull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbullbullbull 0 0 bullbullbull 0 bullbullbullbull bull bull bullbull bull bull bullbullbull bullbull comot ~~10 G)l 2 gt0 U il t i U ))

U1lHAt Hlllaquol1 CAJACtt _ fOAl ora MAlf ClT OCT 7 1gtlt TO- I HCICtlT Ju an n bull ~Au CAIACJY

( JO II) 110 H I) ( 1( OJ lS~ D ~ ~QU U~Tt) U NI

COI u t J e~~ U 9 oc ~ OIC lll ) ) n ~ ttOJ lOl ns bullbullbull 111

~Ul~ 1 1

1 T( t M U7 bull bull U)l lClmiddot IJl Ofll ll bullbullbull 2)l1 ese

Conrtee Design Program

bullbullbull

bullbull

Bridge Computer Manual - September 1994 bull

bullbullmiddotmiddotmiddotmiddotmiddotmiddot middotbullmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot bullbull middotmiddotmiddot middotmiddotmiddot middot middotmiddotmiddotbullbullmiddotbullbullmiddotmiddotmiddotmiddotmiddot middotmiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotbullmiddot middotbullmiddotbullmiddotmiddot middotbullbullbullbullbullmiddotmiddotbullmiddotbullmiddotmiddotbullmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotbullmiddot bullmiddotbullmiddotmiddot

uoucrn GICU fIWlsrot~ TIWfliOliltQ ( fTbull bulln 52 0 n 4

lrttiTU ( fT bullf J Ul t 2 U S S79 ( 1gtl) Hl 2 1 = bullbullbullYNA t iN) Ul ll

Lo-o~am ~-o OUXID GJiOlS ~~ lMHSICliiCD

- t tFpoundSDt - t t-~~ - - lnUtiJU - r 10AD 11 0 IOlr((( TOP ~ 10t ~

40) l Sf fttl 602 0

(1 S X SQ~T ret bull 21 PSI

Ym bull OJSgt~ fJtllil ~~SlCM Ftlat TO~ Cl ~JITt

e) bull jJ3~ BOH IXQXI ~UUfof YtA 1C ~ AXt f bull l bull DiSllaquot (middotI = ~SOH

Conctco Design Prormm Paglt1 5middot4 15

--- -

bullbullbullbullbullbullbullbull Bridge Computer Manual - September 1994 bull

bull bullbull bullbull bull bull bull bull bullbull bullbullbullbullbullbullbullbullbullbullbullbull 0 bullbull

0 bullbull bullbullbull bull bullbullbullbullbullbullbullbullbullbull bullbull bull bullbull bull bullbullbullbullbull bullbull bull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbull 0 bullbullbull bull bullbullbull 0 bullbull bullbullbullbull bullbullbull0 bullbull bull bull

bull~DtVlcamp-t-rAnacq-

fAA ~ KU ~liJW rQtl ~4001 au JtllO ~ SJIi SIU Qolt ~ISS $UU kAlaquoJIpound RAQ t Ph SiACS nua uu octc

t~l ~lSu us1 CJtll I ll ) f Nl C~ DCJ triO

221 21 0 ) t) aot 6249 SiS sc lS SmiddotAS li 4 5 uu l 1 12 61 00 u u u a 11 SmiddotAS 31 e )])$ 1)11 1744 lll nu 10 P-PM llJl n u 1) 2) ll l) U 22 S ll lt( U bull P- Jt l tc u oc uu nn U ll 650 4 Lf0 bull fbullTA nti )i 00 U Lt 1121 ll~ s u 4 55 imiddotbullfAC u o )6 0) au ll 2 ) n u )Jl u u Pbullf u ts H Co Jt 112 (3 50 l t-t u bull l

PAC exES

1 bull JJ SAt m US 7U~ HI AAn10 Ml)nctbS (t2l ) raquo Sigt~ Ipound$1 7MAf TKE ~ cAlOlVIS KItllHJiot (P gtU C1)WI ltCirOQ K~ nLo 1(1 UIHlO MlXldJM I S 1 bull (t-201

Pbullgos-4 JG

bull bull bull bull bull bull

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

Example Problem 2

Bent Csp Design

Determine the amount of tension reinforcement r~ed Jn a ~t cap for maximum negative momml considering fotigue and crack control crllorlo

Service Load Dolo DoadLoad H bull Lltgtad P middotLoad

(OL) (Ll+l) (LL+I)

Mu moment -2 146 -706 middot2155 Min moment 0

~ ~6 ~18- _1~

Ibull bull bull bull bull bull bull bull bull bull t -1- 7 i6 Oigtor bar$

(tronsvorso deck sleel) 1- ~1 1 Main Bars

I 11 I

Cap-Section sa bullbull 2

Page 5middot-lt 7 Concl6ttt Design Pagram ------------------shy

bull bull bull

bullbullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

bull bull bull bullbull bullbullbullbullbullbullbullbullbull bull bull bullbullbull bull bull bullbull bull 0 bullbullbullbullbullbullbull bull bull bull

YOtIR ~ Fni)IAi IS OmltA7 CIJ OZSJC~ NH RtlSaRSamp ~ SEit vtl ON eGo t7

OampSJQlt iS= )25 001)) 29000 bullo lO sso bullo iOo- 8 2 5 ( 00 1(middot0 00 middot YAlP 0 11 ltU 1 (1 00 orm 7 2 00 1 coo 0 00 0 01

IOXl~m NCITt~ HO~T

-214 - lCli bull middot2SS bull0 0 0 lll 211 llO lCO 090

Page 5middot4 8

Page 12: Chapter 5-Reinforced Concrete - Caltrans · Box Girder Design ... equilibrium of internal stresses and compatibility of strains. ... mode, the designorenleJo thenumb

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

liztrans

Example Problem 1

Box Girder Design

Determine the amount of tension reinforcement required ina box girder for maxim tun positive moment considering fatigue and crack control criteria

Service Load Data Dead Load H- Load P - Load

(DL) (LL+I) (LL+I)

Max moment 4270 2447 4693 Min moment -326

112 -Typical Section

Symmetrical about ~

--- 4 bull fllrets -z_ = ~ shyin

~ If)

co

3-1 2-3 7-8 4-9

17-9

Page 5-410 Concrete Design Program

Bridge Computer Manual - September 1994 bull

bull bullbullbullbull bullbull bull Ycent1R CCNC PtoAft shy0 bullbullbull bull 0 bull bull 0 bull bullbullbull bull bullbullbullbullbullbullbullbullbullbull 0 0 bullbullbullbullbullbullbull bull

80X GPDpound1 D~QI JERGQtf IIS OIIt1 RC DESIGtl Ytl YES

L l$ 01)1)] 2tOCO YU l70 S$0 bullbull

lSSc nu 125 lOO ubull Sl bull - c o 206 oco oo )00

IWt JOrnvE ~ u lU1 ~)U dU 0

0 0 0 c JJO 1 1 llO 1~0

bull Loe raquotebull

-Pogc 5-lt t t Concltcro OesJgnPmgam - ------------ ----shy

bullbull bull bullbullbullbullbullbull bull bull bullbull bull bull

Bridge Computer Manual - September 1994 bull

o o o o o o o o o o o o o o o

l~ ) Sl ~32i9J PADr

bull bull bullbullbullbull 0 bullbullbullbullbullbullbullbullbullbullbullbullbull bull bullbullbullbullbullbullbullbullbullbullbull 0 bullbull0 bullbullbullbullbull bullbull bullbullbull bullbull bull bull bull bull bull bullbull bull 0 0

c~L-t Dtscs F-POlfJI ( RC) FStNrcFCec comatTE ( i ) PA~TltlLY FR1$TRB$8poundD ~) rtJt) lfZSRZ$1)

CAtH10 Lilbull OfiAJlt JXttT OF fVJSPOtto Oti VeRSIC~ 4 060Ji7

o bull o o o o o o o t o o bull o o bull o o o o o bull o o o o o o o

0 bull 0 bull bull 0 bullbullbullbullbullbullbullbullbull 0 bull bullbullbullbull bullbull bullbullbull bullbullbullbullbull bullbullbullbullbullbullbullbull ~bullbull 0 bull

Tt lpound OT ANALSS

COtml SAMltQttl

COtsm~ SZPVICt bull Qt(K =-TROII

mJIQn ~TT COYiR~SJVE $TRE$$ otrwn co~ eGMPR~xvz $1PAAN YOIJ~S HCOUUlS OR CCNCltrt

YoctUS HOOUtus FOR $TEI ~DAA$ Y llD STRESS 10Jt Sftk REBAA$

YOIJHGS ~OS f(gtR t lilC$$ STtt L UTt~pound STRESS fOlt PRampSTilt$$ itt LOIImiddotAT ~~S SEU

laquolXJA~ RAl O Yl LD iTtpound- IampS tcl MODUtAA RAIO iFESTRfSS STEfL ( EP OCJ

bullbull i tc) bull ( ampQ) bull

( te) bull

($ bull

( FSI ~

) bull

fPI

bull

(

o o o o o o o o o o o o o o o o o o o o o o o o o 1 o 1 o

bull 0 bullbullbullbullbullbullbullbullbullbullbullbullbullbull

La 1SI ~ DOl PI DI )~- ~SJ

2900 0 ltSl GO O itSJ

211000 zs 21amp0 X$~

su 8 (2

17 o ~tn

~ gtTAL MMH bull s so n

0 f lAlaquoi t K lCtH IC0 -1 ) bull lS So FT 00 FU~Ct ~IMH I I ) ll 2 Of FLA~amp 1H1ClttampS$

Wrotll (If 11

DltmO ltgt~G ICtK 1~Ct lotlDttl -

bull i 2S rbull

bull 3 00 tT

(cent0tP) 0 21 63 r-r 22 6) ( TC l ) bull

loOlO~ tmiddot~s fl oNSS fl ) n~bull

Ppge 5middot4 2 Concre te Clsign Program

Bridge Computer Manual - September 1994 bull

bullbullbull 0 bull bull bull bullbullbullbull 0 bull bull

0 bullbullbullbullbullbullbullbull bullbull bullbullbullbullbullbullbullbullbullbullbull bull bullbullbull 0 bull bullbullbullbullbullbull bull bullbullbullbullbullbullbull bull bullbullbull bullbullbullbullbullbullbull bullbullbullbull bullbull bullbull bull bull bullbull bullbull bull bull bullbull 0 bull fAA LCC IJU

IIgtT 0 1 00) o oo

tOTAL AAn OF FU11111H Spoundt I AP ) bull 0 00 so~~ o1n fllCie nt KTrC TO cc or rcsngtss nac oo ~

bull bullbull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull 0 bullbullbullbull bullbullbullbull bullbull bull bull bullbullbullbullbullbullbullbull 0 0 bull bullbullbull bull

LOAD PlllB bull MAX PODMVt ~ittr

mAl ~lY

AJamp iibullMAX l middot lVol ~ ~r

UAbull I1 ~J ( U ( Lo (Omiddot fimiddotMI)MJ M~r U10 iU 7 bull lJi 4Ul 0 0

0 0 0 o 0 1fkS 1)0 1 l7 1( lU ~

OCO KIPS

bullbull0 bull 0 0 0 0 bullbullbull

bull bull

Yl~ ltbull t tJI Mmiddot Stil HbullPAC Pbull PAC

4)1f ~~(4 10 ucu-= bullbullUlL 0 c

ampCAD CJOI4)0tlaquoC$

Hbull S eP bull bull lUX) bull IOmiddottlaquotCI ( SmiddotYOH)

Xhl Hbull BER lfHlH) UH tru t bull rAX Ubull FA bull l JO J 401) 20 bull Ul ~) Oil X co~m~bull lOJ X tbullbullMC() KAJr P bullbullA bull I H X ttbull 30 bull t P~KAXI 1 00 X ro Ci) X IImiddot~middot

PtJge 5~ 13

bullbullbull

Bridge Computer Manual - September 1994 bull

bull bull

bullbullbullbull bullbull bullbull bullbull bullbullbullbullbull

Sbull U bull tiiRVlCt S~SO IN aD Sltt IMJ 1-AX IIbullSIftl t aACX cotmtOI

Ibull AI bull FAflOUE $11EIS lN Kl l) SlCEI US) UWC IN KbullIIK) HbullFAC bull Hmiddot FACrof10 HQNJlT PbullPAC bull PbullfACTCRCD H~T HIN1 bull tttlriUI RJtiIFMCE~ClII 1 11 1 1 1

liASto ON l 2 X ni CAAtUiC HMrt IW O bull M4lIP Ql YDlt-nfV11 ~IIJ~DGYr (ll7 12J

lMJ) 0amp Ti2t AApound1 lttJC tKDUgt G~t TlOrti ~FOUUD lit ANoLrS l S MAX bull ~M ru~~RCDCell (1 1() 1)

liASO o $ I e~CC) S1ttl ltATO

OU TJC2 f1tQK ~ COKtGS r-ll U ta TO tDrUL Utabull At-ntm - na uoc1am CPAC~ ~ tJ- f) tJO a 1

bullbull - 1 59 i53 nt7 con 10 t n ) 4 middot _HbullFAC I IB 2 )) IOCl PmiddottAr 132 1 50 tau u u ))

10 H~l tOl 07 S~2 171t bullbull ) )j10 i U 1SU nss -middot 10 2 26 ~ Cl amp (02~2 1SO C4

0 bullbull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbullbullbull 0 0 bullbullbull 0 bullbullbullbull bull bull bullbull bull bull bullbullbull bullbull comot ~~10 G)l 2 gt0 U il t i U ))

U1lHAt Hlllaquol1 CAJACtt _ fOAl ora MAlf ClT OCT 7 1gtlt TO- I HCICtlT Ju an n bull ~Au CAIACJY

( JO II) 110 H I) ( 1( OJ lS~ D ~ ~QU U~Tt) U NI

COI u t J e~~ U 9 oc ~ OIC lll ) ) n ~ ttOJ lOl ns bullbullbull 111

~Ul~ 1 1

1 T( t M U7 bull bull U)l lClmiddot IJl Ofll ll bullbullbull 2)l1 ese

Conrtee Design Program

bullbullbull

bullbull

Bridge Computer Manual - September 1994 bull

bullbullmiddotmiddotmiddotmiddotmiddotmiddot middotbullmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot bullbull middotmiddotmiddot middotmiddotmiddot middot middotmiddotmiddotbullbullmiddotbullbullmiddotmiddotmiddotmiddotmiddot middotmiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotbullmiddot middotbullmiddotbullmiddotmiddot middotbullbullbullbullbullmiddotmiddotbullmiddotbullmiddotmiddotbullmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotbullmiddot bullmiddotbullmiddotmiddot

uoucrn GICU fIWlsrot~ TIWfliOliltQ ( fTbull bulln 52 0 n 4

lrttiTU ( fT bullf J Ul t 2 U S S79 ( 1gtl) Hl 2 1 = bullbullbullYNA t iN) Ul ll

Lo-o~am ~-o OUXID GJiOlS ~~ lMHSICliiCD

- t tFpoundSDt - t t-~~ - - lnUtiJU - r 10AD 11 0 IOlr((( TOP ~ 10t ~

40) l Sf fttl 602 0

(1 S X SQ~T ret bull 21 PSI

Ym bull OJSgt~ fJtllil ~~SlCM Ftlat TO~ Cl ~JITt

e) bull jJ3~ BOH IXQXI ~UUfof YtA 1C ~ AXt f bull l bull DiSllaquot (middotI = ~SOH

Conctco Design Prormm Paglt1 5middot4 15

--- -

bullbullbullbullbullbullbullbull Bridge Computer Manual - September 1994 bull

bull bullbull bullbull bull bull bull bull bullbull bullbullbullbullbullbullbullbullbullbullbullbull 0 bullbull

0 bullbull bullbullbull bull bullbullbullbullbullbullbullbullbullbull bullbull bull bullbull bull bullbullbullbullbull bullbull bull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbull 0 bullbullbull bull bullbullbull 0 bullbull bullbullbullbull bullbullbull0 bullbull bull bull

bull~DtVlcamp-t-rAnacq-

fAA ~ KU ~liJW rQtl ~4001 au JtllO ~ SJIi SIU Qolt ~ISS $UU kAlaquoJIpound RAQ t Ph SiACS nua uu octc

t~l ~lSu us1 CJtll I ll ) f Nl C~ DCJ triO

221 21 0 ) t) aot 6249 SiS sc lS SmiddotAS li 4 5 uu l 1 12 61 00 u u u a 11 SmiddotAS 31 e )])$ 1)11 1744 lll nu 10 P-PM llJl n u 1) 2) ll l) U 22 S ll lt( U bull P- Jt l tc u oc uu nn U ll 650 4 Lf0 bull fbullTA nti )i 00 U Lt 1121 ll~ s u 4 55 imiddotbullfAC u o )6 0) au ll 2 ) n u )Jl u u Pbullf u ts H Co Jt 112 (3 50 l t-t u bull l

PAC exES

1 bull JJ SAt m US 7U~ HI AAn10 Ml)nctbS (t2l ) raquo Sigt~ Ipound$1 7MAf TKE ~ cAlOlVIS KItllHJiot (P gtU C1)WI ltCirOQ K~ nLo 1(1 UIHlO MlXldJM I S 1 bull (t-201

Pbullgos-4 JG

bull bull bull bull bull bull

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

Example Problem 2

Bent Csp Design

Determine the amount of tension reinforcement r~ed Jn a ~t cap for maximum negative momml considering fotigue and crack control crllorlo

Service Load Dolo DoadLoad H bull Lltgtad P middotLoad

(OL) (Ll+l) (LL+I)

Mu moment -2 146 -706 middot2155 Min moment 0

~ ~6 ~18- _1~

Ibull bull bull bull bull bull bull bull bull bull t -1- 7 i6 Oigtor bar$

(tronsvorso deck sleel) 1- ~1 1 Main Bars

I 11 I

Cap-Section sa bullbull 2

Page 5middot-lt 7 Concl6ttt Design Pagram ------------------shy

bull bull bull

bullbullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

bull bull bull bullbull bullbullbullbullbullbullbullbullbull bull bull bullbullbull bull bull bullbull bull 0 bullbullbullbullbullbullbull bull bull bull

YOtIR ~ Fni)IAi IS OmltA7 CIJ OZSJC~ NH RtlSaRSamp ~ SEit vtl ON eGo t7

OampSJQlt iS= )25 001)) 29000 bullo lO sso bullo iOo- 8 2 5 ( 00 1(middot0 00 middot YAlP 0 11 ltU 1 (1 00 orm 7 2 00 1 coo 0 00 0 01

IOXl~m NCITt~ HO~T

-214 - lCli bull middot2SS bull0 0 0 lll 211 llO lCO 090

Page 5middot4 8

Page 13: Chapter 5-Reinforced Concrete - Caltrans · Box Girder Design ... equilibrium of internal stresses and compatibility of strains. ... mode, the designorenleJo thenumb

Bridge Computer Manual - September 1994 bull

bull bullbullbullbull bullbull bull Ycent1R CCNC PtoAft shy0 bullbullbull bull 0 bull bull 0 bull bullbullbull bull bullbullbullbullbullbullbullbullbullbull 0 0 bullbullbullbullbullbullbull bull

80X GPDpound1 D~QI JERGQtf IIS OIIt1 RC DESIGtl Ytl YES

L l$ 01)1)] 2tOCO YU l70 S$0 bullbull

lSSc nu 125 lOO ubull Sl bull - c o 206 oco oo )00

IWt JOrnvE ~ u lU1 ~)U dU 0

0 0 0 c JJO 1 1 llO 1~0

bull Loe raquotebull

-Pogc 5-lt t t Concltcro OesJgnPmgam - ------------ ----shy

bullbull bull bullbullbullbullbullbull bull bull bullbull bull bull

Bridge Computer Manual - September 1994 bull

o o o o o o o o o o o o o o o

l~ ) Sl ~32i9J PADr

bull bull bullbullbullbull 0 bullbullbullbullbullbullbullbullbullbullbullbullbull bull bullbullbullbullbullbullbullbullbullbullbull 0 bullbull0 bullbullbullbullbull bullbull bullbullbull bullbull bull bull bull bull bull bullbull bull 0 0

c~L-t Dtscs F-POlfJI ( RC) FStNrcFCec comatTE ( i ) PA~TltlLY FR1$TRB$8poundD ~) rtJt) lfZSRZ$1)

CAtH10 Lilbull OfiAJlt JXttT OF fVJSPOtto Oti VeRSIC~ 4 060Ji7

o bull o o o o o o o t o o bull o o bull o o o o o bull o o o o o o o

0 bull 0 bull bull 0 bullbullbullbullbullbullbullbullbull 0 bull bullbullbullbull bullbull bullbullbull bullbullbullbullbull bullbullbullbullbullbullbullbull ~bullbull 0 bull

Tt lpound OT ANALSS

COtml SAMltQttl

COtsm~ SZPVICt bull Qt(K =-TROII

mJIQn ~TT COYiR~SJVE $TRE$$ otrwn co~ eGMPR~xvz $1PAAN YOIJ~S HCOUUlS OR CCNCltrt

YoctUS HOOUtus FOR $TEI ~DAA$ Y llD STRESS 10Jt Sftk REBAA$

YOIJHGS ~OS f(gtR t lilC$$ STtt L UTt~pound STRESS fOlt PRampSTilt$$ itt LOIImiddotAT ~~S SEU

laquolXJA~ RAl O Yl LD iTtpound- IampS tcl MODUtAA RAIO iFESTRfSS STEfL ( EP OCJ

bullbull i tc) bull ( ampQ) bull

( te) bull

($ bull

( FSI ~

) bull

fPI

bull

(

o o o o o o o o o o o o o o o o o o o o o o o o o 1 o 1 o

bull 0 bullbullbullbullbullbullbullbullbullbullbullbullbullbull

La 1SI ~ DOl PI DI )~- ~SJ

2900 0 ltSl GO O itSJ

211000 zs 21amp0 X$~

su 8 (2

17 o ~tn

~ gtTAL MMH bull s so n

0 f lAlaquoi t K lCtH IC0 -1 ) bull lS So FT 00 FU~Ct ~IMH I I ) ll 2 Of FLA~amp 1H1ClttampS$

Wrotll (If 11

DltmO ltgt~G ICtK 1~Ct lotlDttl -

bull i 2S rbull

bull 3 00 tT

(cent0tP) 0 21 63 r-r 22 6) ( TC l ) bull

loOlO~ tmiddot~s fl oNSS fl ) n~bull

Ppge 5middot4 2 Concre te Clsign Program

Bridge Computer Manual - September 1994 bull

bullbullbull 0 bull bull bull bullbullbullbull 0 bull bull

0 bullbullbullbullbullbullbullbull bullbull bullbullbullbullbullbullbullbullbullbullbull bull bullbullbull 0 bull bullbullbullbullbullbull bull bullbullbullbullbullbullbull bull bullbullbull bullbullbullbullbullbullbull bullbullbullbull bullbull bullbull bull bull bullbull bullbull bull bull bullbull 0 bull fAA LCC IJU

IIgtT 0 1 00) o oo

tOTAL AAn OF FU11111H Spoundt I AP ) bull 0 00 so~~ o1n fllCie nt KTrC TO cc or rcsngtss nac oo ~

bull bullbull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull 0 bullbullbullbull bullbullbullbull bullbull bull bull bullbullbullbullbullbullbullbull 0 0 bull bullbullbull bull

LOAD PlllB bull MAX PODMVt ~ittr

mAl ~lY

AJamp iibullMAX l middot lVol ~ ~r

UAbull I1 ~J ( U ( Lo (Omiddot fimiddotMI)MJ M~r U10 iU 7 bull lJi 4Ul 0 0

0 0 0 o 0 1fkS 1)0 1 l7 1( lU ~

OCO KIPS

bullbull0 bull 0 0 0 0 bullbullbull

bull bull

Yl~ ltbull t tJI Mmiddot Stil HbullPAC Pbull PAC

4)1f ~~(4 10 ucu-= bullbullUlL 0 c

ampCAD CJOI4)0tlaquoC$

Hbull S eP bull bull lUX) bull IOmiddottlaquotCI ( SmiddotYOH)

Xhl Hbull BER lfHlH) UH tru t bull rAX Ubull FA bull l JO J 401) 20 bull Ul ~) Oil X co~m~bull lOJ X tbullbullMC() KAJr P bullbullA bull I H X ttbull 30 bull t P~KAXI 1 00 X ro Ci) X IImiddot~middot

PtJge 5~ 13

bullbullbull

Bridge Computer Manual - September 1994 bull

bull bull

bullbullbullbull bullbull bullbull bullbull bullbullbullbullbull

Sbull U bull tiiRVlCt S~SO IN aD Sltt IMJ 1-AX IIbullSIftl t aACX cotmtOI

Ibull AI bull FAflOUE $11EIS lN Kl l) SlCEI US) UWC IN KbullIIK) HbullFAC bull Hmiddot FACrof10 HQNJlT PbullPAC bull PbullfACTCRCD H~T HIN1 bull tttlriUI RJtiIFMCE~ClII 1 11 1 1 1

liASto ON l 2 X ni CAAtUiC HMrt IW O bull M4lIP Ql YDlt-nfV11 ~IIJ~DGYr (ll7 12J

lMJ) 0amp Ti2t AApound1 lttJC tKDUgt G~t TlOrti ~FOUUD lit ANoLrS l S MAX bull ~M ru~~RCDCell (1 1() 1)

liASO o $ I e~CC) S1ttl ltATO

OU TJC2 f1tQK ~ COKtGS r-ll U ta TO tDrUL Utabull At-ntm - na uoc1am CPAC~ ~ tJ- f) tJO a 1

bullbull - 1 59 i53 nt7 con 10 t n ) 4 middot _HbullFAC I IB 2 )) IOCl PmiddottAr 132 1 50 tau u u ))

10 H~l tOl 07 S~2 171t bullbull ) )j10 i U 1SU nss -middot 10 2 26 ~ Cl amp (02~2 1SO C4

0 bullbull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbullbullbull 0 0 bullbullbull 0 bullbullbullbull bull bull bullbull bull bull bullbullbull bullbull comot ~~10 G)l 2 gt0 U il t i U ))

U1lHAt Hlllaquol1 CAJACtt _ fOAl ora MAlf ClT OCT 7 1gtlt TO- I HCICtlT Ju an n bull ~Au CAIACJY

( JO II) 110 H I) ( 1( OJ lS~ D ~ ~QU U~Tt) U NI

COI u t J e~~ U 9 oc ~ OIC lll ) ) n ~ ttOJ lOl ns bullbullbull 111

~Ul~ 1 1

1 T( t M U7 bull bull U)l lClmiddot IJl Ofll ll bullbullbull 2)l1 ese

Conrtee Design Program

bullbullbull

bullbull

Bridge Computer Manual - September 1994 bull

bullbullmiddotmiddotmiddotmiddotmiddotmiddot middotbullmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot bullbull middotmiddotmiddot middotmiddotmiddot middot middotmiddotmiddotbullbullmiddotbullbullmiddotmiddotmiddotmiddotmiddot middotmiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotbullmiddot middotbullmiddotbullmiddotmiddot middotbullbullbullbullbullmiddotmiddotbullmiddotbullmiddotmiddotbullmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotbullmiddot bullmiddotbullmiddotmiddot

uoucrn GICU fIWlsrot~ TIWfliOliltQ ( fTbull bulln 52 0 n 4

lrttiTU ( fT bullf J Ul t 2 U S S79 ( 1gtl) Hl 2 1 = bullbullbullYNA t iN) Ul ll

Lo-o~am ~-o OUXID GJiOlS ~~ lMHSICliiCD

- t tFpoundSDt - t t-~~ - - lnUtiJU - r 10AD 11 0 IOlr((( TOP ~ 10t ~

40) l Sf fttl 602 0

(1 S X SQ~T ret bull 21 PSI

Ym bull OJSgt~ fJtllil ~~SlCM Ftlat TO~ Cl ~JITt

e) bull jJ3~ BOH IXQXI ~UUfof YtA 1C ~ AXt f bull l bull DiSllaquot (middotI = ~SOH

Conctco Design Prormm Paglt1 5middot4 15

--- -

bullbullbullbullbullbullbullbull Bridge Computer Manual - September 1994 bull

bull bullbull bullbull bull bull bull bull bullbull bullbullbullbullbullbullbullbullbullbullbullbull 0 bullbull

0 bullbull bullbullbull bull bullbullbullbullbullbullbullbullbullbull bullbull bull bullbull bull bullbullbullbullbull bullbull bull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbull 0 bullbullbull bull bullbullbull 0 bullbull bullbullbullbull bullbullbull0 bullbull bull bull

bull~DtVlcamp-t-rAnacq-

fAA ~ KU ~liJW rQtl ~4001 au JtllO ~ SJIi SIU Qolt ~ISS $UU kAlaquoJIpound RAQ t Ph SiACS nua uu octc

t~l ~lSu us1 CJtll I ll ) f Nl C~ DCJ triO

221 21 0 ) t) aot 6249 SiS sc lS SmiddotAS li 4 5 uu l 1 12 61 00 u u u a 11 SmiddotAS 31 e )])$ 1)11 1744 lll nu 10 P-PM llJl n u 1) 2) ll l) U 22 S ll lt( U bull P- Jt l tc u oc uu nn U ll 650 4 Lf0 bull fbullTA nti )i 00 U Lt 1121 ll~ s u 4 55 imiddotbullfAC u o )6 0) au ll 2 ) n u )Jl u u Pbullf u ts H Co Jt 112 (3 50 l t-t u bull l

PAC exES

1 bull JJ SAt m US 7U~ HI AAn10 Ml)nctbS (t2l ) raquo Sigt~ Ipound$1 7MAf TKE ~ cAlOlVIS KItllHJiot (P gtU C1)WI ltCirOQ K~ nLo 1(1 UIHlO MlXldJM I S 1 bull (t-201

Pbullgos-4 JG

bull bull bull bull bull bull

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

Example Problem 2

Bent Csp Design

Determine the amount of tension reinforcement r~ed Jn a ~t cap for maximum negative momml considering fotigue and crack control crllorlo

Service Load Dolo DoadLoad H bull Lltgtad P middotLoad

(OL) (Ll+l) (LL+I)

Mu moment -2 146 -706 middot2155 Min moment 0

~ ~6 ~18- _1~

Ibull bull bull bull bull bull bull bull bull bull t -1- 7 i6 Oigtor bar$

(tronsvorso deck sleel) 1- ~1 1 Main Bars

I 11 I

Cap-Section sa bullbull 2

Page 5middot-lt 7 Concl6ttt Design Pagram ------------------shy

bull bull bull

bullbullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

bull bull bull bullbull bullbullbullbullbullbullbullbullbull bull bull bullbullbull bull bull bullbull bull 0 bullbullbullbullbullbullbull bull bull bull

YOtIR ~ Fni)IAi IS OmltA7 CIJ OZSJC~ NH RtlSaRSamp ~ SEit vtl ON eGo t7

OampSJQlt iS= )25 001)) 29000 bullo lO sso bullo iOo- 8 2 5 ( 00 1(middot0 00 middot YAlP 0 11 ltU 1 (1 00 orm 7 2 00 1 coo 0 00 0 01

IOXl~m NCITt~ HO~T

-214 - lCli bull middot2SS bull0 0 0 lll 211 llO lCO 090

Page 5middot4 8

Page 14: Chapter 5-Reinforced Concrete - Caltrans · Box Girder Design ... equilibrium of internal stresses and compatibility of strains. ... mode, the designorenleJo thenumb

bullbull bull bullbullbullbullbullbull bull bull bullbull bull bull

Bridge Computer Manual - September 1994 bull

o o o o o o o o o o o o o o o

l~ ) Sl ~32i9J PADr

bull bull bullbullbullbull 0 bullbullbullbullbullbullbullbullbullbullbullbullbull bull bullbullbullbullbullbullbullbullbullbullbull 0 bullbull0 bullbullbullbullbull bullbull bullbullbull bullbull bull bull bull bull bull bullbull bull 0 0

c~L-t Dtscs F-POlfJI ( RC) FStNrcFCec comatTE ( i ) PA~TltlLY FR1$TRB$8poundD ~) rtJt) lfZSRZ$1)

CAtH10 Lilbull OfiAJlt JXttT OF fVJSPOtto Oti VeRSIC~ 4 060Ji7

o bull o o o o o o o t o o bull o o bull o o o o o bull o o o o o o o

0 bull 0 bull bull 0 bullbullbullbullbullbullbullbullbull 0 bull bullbullbullbull bullbull bullbullbull bullbullbullbullbull bullbullbullbullbullbullbullbull ~bullbull 0 bull

Tt lpound OT ANALSS

COtml SAMltQttl

COtsm~ SZPVICt bull Qt(K =-TROII

mJIQn ~TT COYiR~SJVE $TRE$$ otrwn co~ eGMPR~xvz $1PAAN YOIJ~S HCOUUlS OR CCNCltrt

YoctUS HOOUtus FOR $TEI ~DAA$ Y llD STRESS 10Jt Sftk REBAA$

YOIJHGS ~OS f(gtR t lilC$$ STtt L UTt~pound STRESS fOlt PRampSTilt$$ itt LOIImiddotAT ~~S SEU

laquolXJA~ RAl O Yl LD iTtpound- IampS tcl MODUtAA RAIO iFESTRfSS STEfL ( EP OCJ

bullbull i tc) bull ( ampQ) bull

( te) bull

($ bull

( FSI ~

) bull

fPI

bull

(

o o o o o o o o o o o o o o o o o o o o o o o o o 1 o 1 o

bull 0 bullbullbullbullbullbullbullbullbullbullbullbullbullbull

La 1SI ~ DOl PI DI )~- ~SJ

2900 0 ltSl GO O itSJ

211000 zs 21amp0 X$~

su 8 (2

17 o ~tn

~ gtTAL MMH bull s so n

0 f lAlaquoi t K lCtH IC0 -1 ) bull lS So FT 00 FU~Ct ~IMH I I ) ll 2 Of FLA~amp 1H1ClttampS$

Wrotll (If 11

DltmO ltgt~G ICtK 1~Ct lotlDttl -

bull i 2S rbull

bull 3 00 tT

(cent0tP) 0 21 63 r-r 22 6) ( TC l ) bull

loOlO~ tmiddot~s fl oNSS fl ) n~bull

Ppge 5middot4 2 Concre te Clsign Program

Bridge Computer Manual - September 1994 bull

bullbullbull 0 bull bull bull bullbullbullbull 0 bull bull

0 bullbullbullbullbullbullbullbull bullbull bullbullbullbullbullbullbullbullbullbullbull bull bullbullbull 0 bull bullbullbullbullbullbull bull bullbullbullbullbullbullbull bull bullbullbull bullbullbullbullbullbullbull bullbullbullbull bullbull bullbull bull bull bullbull bullbull bull bull bullbull 0 bull fAA LCC IJU

IIgtT 0 1 00) o oo

tOTAL AAn OF FU11111H Spoundt I AP ) bull 0 00 so~~ o1n fllCie nt KTrC TO cc or rcsngtss nac oo ~

bull bullbull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull 0 bullbullbullbull bullbullbullbull bullbull bull bull bullbullbullbullbullbullbullbull 0 0 bull bullbullbull bull

LOAD PlllB bull MAX PODMVt ~ittr

mAl ~lY

AJamp iibullMAX l middot lVol ~ ~r

UAbull I1 ~J ( U ( Lo (Omiddot fimiddotMI)MJ M~r U10 iU 7 bull lJi 4Ul 0 0

0 0 0 o 0 1fkS 1)0 1 l7 1( lU ~

OCO KIPS

bullbull0 bull 0 0 0 0 bullbullbull

bull bull

Yl~ ltbull t tJI Mmiddot Stil HbullPAC Pbull PAC

4)1f ~~(4 10 ucu-= bullbullUlL 0 c

ampCAD CJOI4)0tlaquoC$

Hbull S eP bull bull lUX) bull IOmiddottlaquotCI ( SmiddotYOH)

Xhl Hbull BER lfHlH) UH tru t bull rAX Ubull FA bull l JO J 401) 20 bull Ul ~) Oil X co~m~bull lOJ X tbullbullMC() KAJr P bullbullA bull I H X ttbull 30 bull t P~KAXI 1 00 X ro Ci) X IImiddot~middot

PtJge 5~ 13

bullbullbull

Bridge Computer Manual - September 1994 bull

bull bull

bullbullbullbull bullbull bullbull bullbull bullbullbullbullbull

Sbull U bull tiiRVlCt S~SO IN aD Sltt IMJ 1-AX IIbullSIftl t aACX cotmtOI

Ibull AI bull FAflOUE $11EIS lN Kl l) SlCEI US) UWC IN KbullIIK) HbullFAC bull Hmiddot FACrof10 HQNJlT PbullPAC bull PbullfACTCRCD H~T HIN1 bull tttlriUI RJtiIFMCE~ClII 1 11 1 1 1

liASto ON l 2 X ni CAAtUiC HMrt IW O bull M4lIP Ql YDlt-nfV11 ~IIJ~DGYr (ll7 12J

lMJ) 0amp Ti2t AApound1 lttJC tKDUgt G~t TlOrti ~FOUUD lit ANoLrS l S MAX bull ~M ru~~RCDCell (1 1() 1)

liASO o $ I e~CC) S1ttl ltATO

OU TJC2 f1tQK ~ COKtGS r-ll U ta TO tDrUL Utabull At-ntm - na uoc1am CPAC~ ~ tJ- f) tJO a 1

bullbull - 1 59 i53 nt7 con 10 t n ) 4 middot _HbullFAC I IB 2 )) IOCl PmiddottAr 132 1 50 tau u u ))

10 H~l tOl 07 S~2 171t bullbull ) )j10 i U 1SU nss -middot 10 2 26 ~ Cl amp (02~2 1SO C4

0 bullbull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbullbullbull 0 0 bullbullbull 0 bullbullbullbull bull bull bullbull bull bull bullbullbull bullbull comot ~~10 G)l 2 gt0 U il t i U ))

U1lHAt Hlllaquol1 CAJACtt _ fOAl ora MAlf ClT OCT 7 1gtlt TO- I HCICtlT Ju an n bull ~Au CAIACJY

( JO II) 110 H I) ( 1( OJ lS~ D ~ ~QU U~Tt) U NI

COI u t J e~~ U 9 oc ~ OIC lll ) ) n ~ ttOJ lOl ns bullbullbull 111

~Ul~ 1 1

1 T( t M U7 bull bull U)l lClmiddot IJl Ofll ll bullbullbull 2)l1 ese

Conrtee Design Program

bullbullbull

bullbull

Bridge Computer Manual - September 1994 bull

bullbullmiddotmiddotmiddotmiddotmiddotmiddot middotbullmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot bullbull middotmiddotmiddot middotmiddotmiddot middot middotmiddotmiddotbullbullmiddotbullbullmiddotmiddotmiddotmiddotmiddot middotmiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotbullmiddot middotbullmiddotbullmiddotmiddot middotbullbullbullbullbullmiddotmiddotbullmiddotbullmiddotmiddotbullmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotbullmiddot bullmiddotbullmiddotmiddot

uoucrn GICU fIWlsrot~ TIWfliOliltQ ( fTbull bulln 52 0 n 4

lrttiTU ( fT bullf J Ul t 2 U S S79 ( 1gtl) Hl 2 1 = bullbullbullYNA t iN) Ul ll

Lo-o~am ~-o OUXID GJiOlS ~~ lMHSICliiCD

- t tFpoundSDt - t t-~~ - - lnUtiJU - r 10AD 11 0 IOlr((( TOP ~ 10t ~

40) l Sf fttl 602 0

(1 S X SQ~T ret bull 21 PSI

Ym bull OJSgt~ fJtllil ~~SlCM Ftlat TO~ Cl ~JITt

e) bull jJ3~ BOH IXQXI ~UUfof YtA 1C ~ AXt f bull l bull DiSllaquot (middotI = ~SOH

Conctco Design Prormm Paglt1 5middot4 15

--- -

bullbullbullbullbullbullbullbull Bridge Computer Manual - September 1994 bull

bull bullbull bullbull bull bull bull bull bullbull bullbullbullbullbullbullbullbullbullbullbullbull 0 bullbull

0 bullbull bullbullbull bull bullbullbullbullbullbullbullbullbullbull bullbull bull bullbull bull bullbullbullbullbull bullbull bull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbull 0 bullbullbull bull bullbullbull 0 bullbull bullbullbullbull bullbullbull0 bullbull bull bull

bull~DtVlcamp-t-rAnacq-

fAA ~ KU ~liJW rQtl ~4001 au JtllO ~ SJIi SIU Qolt ~ISS $UU kAlaquoJIpound RAQ t Ph SiACS nua uu octc

t~l ~lSu us1 CJtll I ll ) f Nl C~ DCJ triO

221 21 0 ) t) aot 6249 SiS sc lS SmiddotAS li 4 5 uu l 1 12 61 00 u u u a 11 SmiddotAS 31 e )])$ 1)11 1744 lll nu 10 P-PM llJl n u 1) 2) ll l) U 22 S ll lt( U bull P- Jt l tc u oc uu nn U ll 650 4 Lf0 bull fbullTA nti )i 00 U Lt 1121 ll~ s u 4 55 imiddotbullfAC u o )6 0) au ll 2 ) n u )Jl u u Pbullf u ts H Co Jt 112 (3 50 l t-t u bull l

PAC exES

1 bull JJ SAt m US 7U~ HI AAn10 Ml)nctbS (t2l ) raquo Sigt~ Ipound$1 7MAf TKE ~ cAlOlVIS KItllHJiot (P gtU C1)WI ltCirOQ K~ nLo 1(1 UIHlO MlXldJM I S 1 bull (t-201

Pbullgos-4 JG

bull bull bull bull bull bull

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

Example Problem 2

Bent Csp Design

Determine the amount of tension reinforcement r~ed Jn a ~t cap for maximum negative momml considering fotigue and crack control crllorlo

Service Load Dolo DoadLoad H bull Lltgtad P middotLoad

(OL) (Ll+l) (LL+I)

Mu moment -2 146 -706 middot2155 Min moment 0

~ ~6 ~18- _1~

Ibull bull bull bull bull bull bull bull bull bull t -1- 7 i6 Oigtor bar$

(tronsvorso deck sleel) 1- ~1 1 Main Bars

I 11 I

Cap-Section sa bullbull 2

Page 5middot-lt 7 Concl6ttt Design Pagram ------------------shy

bull bull bull

bullbullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

bull bull bull bullbull bullbullbullbullbullbullbullbullbull bull bull bullbullbull bull bull bullbull bull 0 bullbullbullbullbullbullbull bull bull bull

YOtIR ~ Fni)IAi IS OmltA7 CIJ OZSJC~ NH RtlSaRSamp ~ SEit vtl ON eGo t7

OampSJQlt iS= )25 001)) 29000 bullo lO sso bullo iOo- 8 2 5 ( 00 1(middot0 00 middot YAlP 0 11 ltU 1 (1 00 orm 7 2 00 1 coo 0 00 0 01

IOXl~m NCITt~ HO~T

-214 - lCli bull middot2SS bull0 0 0 lll 211 llO lCO 090

Page 5middot4 8

Page 15: Chapter 5-Reinforced Concrete - Caltrans · Box Girder Design ... equilibrium of internal stresses and compatibility of strains. ... mode, the designorenleJo thenumb

Bridge Computer Manual - September 1994 bull

bullbullbull 0 bull bull bull bullbullbullbull 0 bull bull

0 bullbullbullbullbullbullbullbull bullbull bullbullbullbullbullbullbullbullbullbullbull bull bullbullbull 0 bull bullbullbullbullbullbull bull bullbullbullbullbullbullbull bull bullbullbull bullbullbullbullbullbullbull bullbullbullbull bullbull bullbull bull bull bullbull bullbull bull bull bullbull 0 bull fAA LCC IJU

IIgtT 0 1 00) o oo

tOTAL AAn OF FU11111H Spoundt I AP ) bull 0 00 so~~ o1n fllCie nt KTrC TO cc or rcsngtss nac oo ~

bull bullbull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull 0 bullbullbullbull bullbullbullbull bullbull bull bull bullbullbullbullbullbullbullbull 0 0 bull bullbullbull bull

LOAD PlllB bull MAX PODMVt ~ittr

mAl ~lY

AJamp iibullMAX l middot lVol ~ ~r

UAbull I1 ~J ( U ( Lo (Omiddot fimiddotMI)MJ M~r U10 iU 7 bull lJi 4Ul 0 0

0 0 0 o 0 1fkS 1)0 1 l7 1( lU ~

OCO KIPS

bullbull0 bull 0 0 0 0 bullbullbull

bull bull

Yl~ ltbull t tJI Mmiddot Stil HbullPAC Pbull PAC

4)1f ~~(4 10 ucu-= bullbullUlL 0 c

ampCAD CJOI4)0tlaquoC$

Hbull S eP bull bull lUX) bull IOmiddottlaquotCI ( SmiddotYOH)

Xhl Hbull BER lfHlH) UH tru t bull rAX Ubull FA bull l JO J 401) 20 bull Ul ~) Oil X co~m~bull lOJ X tbullbullMC() KAJr P bullbullA bull I H X ttbull 30 bull t P~KAXI 1 00 X ro Ci) X IImiddot~middot

PtJge 5~ 13

bullbullbull

Bridge Computer Manual - September 1994 bull

bull bull

bullbullbullbull bullbull bullbull bullbull bullbullbullbullbull

Sbull U bull tiiRVlCt S~SO IN aD Sltt IMJ 1-AX IIbullSIftl t aACX cotmtOI

Ibull AI bull FAflOUE $11EIS lN Kl l) SlCEI US) UWC IN KbullIIK) HbullFAC bull Hmiddot FACrof10 HQNJlT PbullPAC bull PbullfACTCRCD H~T HIN1 bull tttlriUI RJtiIFMCE~ClII 1 11 1 1 1

liASto ON l 2 X ni CAAtUiC HMrt IW O bull M4lIP Ql YDlt-nfV11 ~IIJ~DGYr (ll7 12J

lMJ) 0amp Ti2t AApound1 lttJC tKDUgt G~t TlOrti ~FOUUD lit ANoLrS l S MAX bull ~M ru~~RCDCell (1 1() 1)

liASO o $ I e~CC) S1ttl ltATO

OU TJC2 f1tQK ~ COKtGS r-ll U ta TO tDrUL Utabull At-ntm - na uoc1am CPAC~ ~ tJ- f) tJO a 1

bullbull - 1 59 i53 nt7 con 10 t n ) 4 middot _HbullFAC I IB 2 )) IOCl PmiddottAr 132 1 50 tau u u ))

10 H~l tOl 07 S~2 171t bullbull ) )j10 i U 1SU nss -middot 10 2 26 ~ Cl amp (02~2 1SO C4

0 bullbull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbullbullbull 0 0 bullbullbull 0 bullbullbullbull bull bull bullbull bull bull bullbullbull bullbull comot ~~10 G)l 2 gt0 U il t i U ))

U1lHAt Hlllaquol1 CAJACtt _ fOAl ora MAlf ClT OCT 7 1gtlt TO- I HCICtlT Ju an n bull ~Au CAIACJY

( JO II) 110 H I) ( 1( OJ lS~ D ~ ~QU U~Tt) U NI

COI u t J e~~ U 9 oc ~ OIC lll ) ) n ~ ttOJ lOl ns bullbullbull 111

~Ul~ 1 1

1 T( t M U7 bull bull U)l lClmiddot IJl Ofll ll bullbullbull 2)l1 ese

Conrtee Design Program

bullbullbull

bullbull

Bridge Computer Manual - September 1994 bull

bullbullmiddotmiddotmiddotmiddotmiddotmiddot middotbullmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot bullbull middotmiddotmiddot middotmiddotmiddot middot middotmiddotmiddotbullbullmiddotbullbullmiddotmiddotmiddotmiddotmiddot middotmiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotbullmiddot middotbullmiddotbullmiddotmiddot middotbullbullbullbullbullmiddotmiddotbullmiddotbullmiddotmiddotbullmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotbullmiddot bullmiddotbullmiddotmiddot

uoucrn GICU fIWlsrot~ TIWfliOliltQ ( fTbull bulln 52 0 n 4

lrttiTU ( fT bullf J Ul t 2 U S S79 ( 1gtl) Hl 2 1 = bullbullbullYNA t iN) Ul ll

Lo-o~am ~-o OUXID GJiOlS ~~ lMHSICliiCD

- t tFpoundSDt - t t-~~ - - lnUtiJU - r 10AD 11 0 IOlr((( TOP ~ 10t ~

40) l Sf fttl 602 0

(1 S X SQ~T ret bull 21 PSI

Ym bull OJSgt~ fJtllil ~~SlCM Ftlat TO~ Cl ~JITt

e) bull jJ3~ BOH IXQXI ~UUfof YtA 1C ~ AXt f bull l bull DiSllaquot (middotI = ~SOH

Conctco Design Prormm Paglt1 5middot4 15

--- -

bullbullbullbullbullbullbullbull Bridge Computer Manual - September 1994 bull

bull bullbull bullbull bull bull bull bull bullbull bullbullbullbullbullbullbullbullbullbullbullbull 0 bullbull

0 bullbull bullbullbull bull bullbullbullbullbullbullbullbullbullbull bullbull bull bullbull bull bullbullbullbullbull bullbull bull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbull 0 bullbullbull bull bullbullbull 0 bullbull bullbullbullbull bullbullbull0 bullbull bull bull

bull~DtVlcamp-t-rAnacq-

fAA ~ KU ~liJW rQtl ~4001 au JtllO ~ SJIi SIU Qolt ~ISS $UU kAlaquoJIpound RAQ t Ph SiACS nua uu octc

t~l ~lSu us1 CJtll I ll ) f Nl C~ DCJ triO

221 21 0 ) t) aot 6249 SiS sc lS SmiddotAS li 4 5 uu l 1 12 61 00 u u u a 11 SmiddotAS 31 e )])$ 1)11 1744 lll nu 10 P-PM llJl n u 1) 2) ll l) U 22 S ll lt( U bull P- Jt l tc u oc uu nn U ll 650 4 Lf0 bull fbullTA nti )i 00 U Lt 1121 ll~ s u 4 55 imiddotbullfAC u o )6 0) au ll 2 ) n u )Jl u u Pbullf u ts H Co Jt 112 (3 50 l t-t u bull l

PAC exES

1 bull JJ SAt m US 7U~ HI AAn10 Ml)nctbS (t2l ) raquo Sigt~ Ipound$1 7MAf TKE ~ cAlOlVIS KItllHJiot (P gtU C1)WI ltCirOQ K~ nLo 1(1 UIHlO MlXldJM I S 1 bull (t-201

Pbullgos-4 JG

bull bull bull bull bull bull

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

Example Problem 2

Bent Csp Design

Determine the amount of tension reinforcement r~ed Jn a ~t cap for maximum negative momml considering fotigue and crack control crllorlo

Service Load Dolo DoadLoad H bull Lltgtad P middotLoad

(OL) (Ll+l) (LL+I)

Mu moment -2 146 -706 middot2155 Min moment 0

~ ~6 ~18- _1~

Ibull bull bull bull bull bull bull bull bull bull t -1- 7 i6 Oigtor bar$

(tronsvorso deck sleel) 1- ~1 1 Main Bars

I 11 I

Cap-Section sa bullbull 2

Page 5middot-lt 7 Concl6ttt Design Pagram ------------------shy

bull bull bull

bullbullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

bull bull bull bullbull bullbullbullbullbullbullbullbullbull bull bull bullbullbull bull bull bullbull bull 0 bullbullbullbullbullbullbull bull bull bull

YOtIR ~ Fni)IAi IS OmltA7 CIJ OZSJC~ NH RtlSaRSamp ~ SEit vtl ON eGo t7

OampSJQlt iS= )25 001)) 29000 bullo lO sso bullo iOo- 8 2 5 ( 00 1(middot0 00 middot YAlP 0 11 ltU 1 (1 00 orm 7 2 00 1 coo 0 00 0 01

IOXl~m NCITt~ HO~T

-214 - lCli bull middot2SS bull0 0 0 lll 211 llO lCO 090

Page 5middot4 8

Page 16: Chapter 5-Reinforced Concrete - Caltrans · Box Girder Design ... equilibrium of internal stresses and compatibility of strains. ... mode, the designorenleJo thenumb

bullbullbull

Bridge Computer Manual - September 1994 bull

bull bull

bullbullbullbull bullbull bullbull bullbull bullbullbullbullbull

Sbull U bull tiiRVlCt S~SO IN aD Sltt IMJ 1-AX IIbullSIftl t aACX cotmtOI

Ibull AI bull FAflOUE $11EIS lN Kl l) SlCEI US) UWC IN KbullIIK) HbullFAC bull Hmiddot FACrof10 HQNJlT PbullPAC bull PbullfACTCRCD H~T HIN1 bull tttlriUI RJtiIFMCE~ClII 1 11 1 1 1

liASto ON l 2 X ni CAAtUiC HMrt IW O bull M4lIP Ql YDlt-nfV11 ~IIJ~DGYr (ll7 12J

lMJ) 0amp Ti2t AApound1 lttJC tKDUgt G~t TlOrti ~FOUUD lit ANoLrS l S MAX bull ~M ru~~RCDCell (1 1() 1)

liASO o $ I e~CC) S1ttl ltATO

OU TJC2 f1tQK ~ COKtGS r-ll U ta TO tDrUL Utabull At-ntm - na uoc1am CPAC~ ~ tJ- f) tJO a 1

bullbull - 1 59 i53 nt7 con 10 t n ) 4 middot _HbullFAC I IB 2 )) IOCl PmiddottAr 132 1 50 tau u u ))

10 H~l tOl 07 S~2 171t bullbull ) )j10 i U 1SU nss -middot 10 2 26 ~ Cl amp (02~2 1SO C4

0 bullbull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbullbullbull 0 0 bullbullbull 0 bullbullbullbull bull bull bullbull bull bull bullbullbull bullbull comot ~~10 G)l 2 gt0 U il t i U ))

U1lHAt Hlllaquol1 CAJACtt _ fOAl ora MAlf ClT OCT 7 1gtlt TO- I HCICtlT Ju an n bull ~Au CAIACJY

( JO II) 110 H I) ( 1( OJ lS~ D ~ ~QU U~Tt) U NI

COI u t J e~~ U 9 oc ~ OIC lll ) ) n ~ ttOJ lOl ns bullbullbull 111

~Ul~ 1 1

1 T( t M U7 bull bull U)l lClmiddot IJl Ofll ll bullbullbull 2)l1 ese

Conrtee Design Program

bullbullbull

bullbull

Bridge Computer Manual - September 1994 bull

bullbullmiddotmiddotmiddotmiddotmiddotmiddot middotbullmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot bullbull middotmiddotmiddot middotmiddotmiddot middot middotmiddotmiddotbullbullmiddotbullbullmiddotmiddotmiddotmiddotmiddot middotmiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotbullmiddot middotbullmiddotbullmiddotmiddot middotbullbullbullbullbullmiddotmiddotbullmiddotbullmiddotmiddotbullmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotbullmiddot bullmiddotbullmiddotmiddot

uoucrn GICU fIWlsrot~ TIWfliOliltQ ( fTbull bulln 52 0 n 4

lrttiTU ( fT bullf J Ul t 2 U S S79 ( 1gtl) Hl 2 1 = bullbullbullYNA t iN) Ul ll

Lo-o~am ~-o OUXID GJiOlS ~~ lMHSICliiCD

- t tFpoundSDt - t t-~~ - - lnUtiJU - r 10AD 11 0 IOlr((( TOP ~ 10t ~

40) l Sf fttl 602 0

(1 S X SQ~T ret bull 21 PSI

Ym bull OJSgt~ fJtllil ~~SlCM Ftlat TO~ Cl ~JITt

e) bull jJ3~ BOH IXQXI ~UUfof YtA 1C ~ AXt f bull l bull DiSllaquot (middotI = ~SOH

Conctco Design Prormm Paglt1 5middot4 15

--- -

bullbullbullbullbullbullbullbull Bridge Computer Manual - September 1994 bull

bull bullbull bullbull bull bull bull bull bullbull bullbullbullbullbullbullbullbullbullbullbullbull 0 bullbull

0 bullbull bullbullbull bull bullbullbullbullbullbullbullbullbullbull bullbull bull bullbull bull bullbullbullbullbull bullbull bull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbull 0 bullbullbull bull bullbullbull 0 bullbull bullbullbullbull bullbullbull0 bullbull bull bull

bull~DtVlcamp-t-rAnacq-

fAA ~ KU ~liJW rQtl ~4001 au JtllO ~ SJIi SIU Qolt ~ISS $UU kAlaquoJIpound RAQ t Ph SiACS nua uu octc

t~l ~lSu us1 CJtll I ll ) f Nl C~ DCJ triO

221 21 0 ) t) aot 6249 SiS sc lS SmiddotAS li 4 5 uu l 1 12 61 00 u u u a 11 SmiddotAS 31 e )])$ 1)11 1744 lll nu 10 P-PM llJl n u 1) 2) ll l) U 22 S ll lt( U bull P- Jt l tc u oc uu nn U ll 650 4 Lf0 bull fbullTA nti )i 00 U Lt 1121 ll~ s u 4 55 imiddotbullfAC u o )6 0) au ll 2 ) n u )Jl u u Pbullf u ts H Co Jt 112 (3 50 l t-t u bull l

PAC exES

1 bull JJ SAt m US 7U~ HI AAn10 Ml)nctbS (t2l ) raquo Sigt~ Ipound$1 7MAf TKE ~ cAlOlVIS KItllHJiot (P gtU C1)WI ltCirOQ K~ nLo 1(1 UIHlO MlXldJM I S 1 bull (t-201

Pbullgos-4 JG

bull bull bull bull bull bull

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

Example Problem 2

Bent Csp Design

Determine the amount of tension reinforcement r~ed Jn a ~t cap for maximum negative momml considering fotigue and crack control crllorlo

Service Load Dolo DoadLoad H bull Lltgtad P middotLoad

(OL) (Ll+l) (LL+I)

Mu moment -2 146 -706 middot2155 Min moment 0

~ ~6 ~18- _1~

Ibull bull bull bull bull bull bull bull bull bull t -1- 7 i6 Oigtor bar$

(tronsvorso deck sleel) 1- ~1 1 Main Bars

I 11 I

Cap-Section sa bullbull 2

Page 5middot-lt 7 Concl6ttt Design Pagram ------------------shy

bull bull bull

bullbullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

bull bull bull bullbull bullbullbullbullbullbullbullbullbull bull bull bullbullbull bull bull bullbull bull 0 bullbullbullbullbullbullbull bull bull bull

YOtIR ~ Fni)IAi IS OmltA7 CIJ OZSJC~ NH RtlSaRSamp ~ SEit vtl ON eGo t7

OampSJQlt iS= )25 001)) 29000 bullo lO sso bullo iOo- 8 2 5 ( 00 1(middot0 00 middot YAlP 0 11 ltU 1 (1 00 orm 7 2 00 1 coo 0 00 0 01

IOXl~m NCITt~ HO~T

-214 - lCli bull middot2SS bull0 0 0 lll 211 llO lCO 090

Page 5middot4 8

Page 17: Chapter 5-Reinforced Concrete - Caltrans · Box Girder Design ... equilibrium of internal stresses and compatibility of strains. ... mode, the designorenleJo thenumb

bullbullbull

bullbull

Bridge Computer Manual - September 1994 bull

bullbullmiddotmiddotmiddotmiddotmiddotmiddot middotbullmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot bullbull middotmiddotmiddot middotmiddotmiddot middot middotmiddotmiddotbullbullmiddotbullbullmiddotmiddotmiddotmiddotmiddot middotmiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotbullmiddot middotbullmiddotbullmiddotmiddot middotbullbullbullbullbullmiddotmiddotbullmiddotbullmiddotmiddotbullmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotbullmiddot bullmiddotbullmiddotmiddot

uoucrn GICU fIWlsrot~ TIWfliOliltQ ( fTbull bulln 52 0 n 4

lrttiTU ( fT bullf J Ul t 2 U S S79 ( 1gtl) Hl 2 1 = bullbullbullYNA t iN) Ul ll

Lo-o~am ~-o OUXID GJiOlS ~~ lMHSICliiCD

- t tFpoundSDt - t t-~~ - - lnUtiJU - r 10AD 11 0 IOlr((( TOP ~ 10t ~

40) l Sf fttl 602 0

(1 S X SQ~T ret bull 21 PSI

Ym bull OJSgt~ fJtllil ~~SlCM Ftlat TO~ Cl ~JITt

e) bull jJ3~ BOH IXQXI ~UUfof YtA 1C ~ AXt f bull l bull DiSllaquot (middotI = ~SOH

Conctco Design Prormm Paglt1 5middot4 15

--- -

bullbullbullbullbullbullbullbull Bridge Computer Manual - September 1994 bull

bull bullbull bullbull bull bull bull bull bullbull bullbullbullbullbullbullbullbullbullbullbullbull 0 bullbull

0 bullbull bullbullbull bull bullbullbullbullbullbullbullbullbullbull bullbull bull bullbull bull bullbullbullbullbull bullbull bull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbull 0 bullbullbull bull bullbullbull 0 bullbull bullbullbullbull bullbullbull0 bullbull bull bull

bull~DtVlcamp-t-rAnacq-

fAA ~ KU ~liJW rQtl ~4001 au JtllO ~ SJIi SIU Qolt ~ISS $UU kAlaquoJIpound RAQ t Ph SiACS nua uu octc

t~l ~lSu us1 CJtll I ll ) f Nl C~ DCJ triO

221 21 0 ) t) aot 6249 SiS sc lS SmiddotAS li 4 5 uu l 1 12 61 00 u u u a 11 SmiddotAS 31 e )])$ 1)11 1744 lll nu 10 P-PM llJl n u 1) 2) ll l) U 22 S ll lt( U bull P- Jt l tc u oc uu nn U ll 650 4 Lf0 bull fbullTA nti )i 00 U Lt 1121 ll~ s u 4 55 imiddotbullfAC u o )6 0) au ll 2 ) n u )Jl u u Pbullf u ts H Co Jt 112 (3 50 l t-t u bull l

PAC exES

1 bull JJ SAt m US 7U~ HI AAn10 Ml)nctbS (t2l ) raquo Sigt~ Ipound$1 7MAf TKE ~ cAlOlVIS KItllHJiot (P gtU C1)WI ltCirOQ K~ nLo 1(1 UIHlO MlXldJM I S 1 bull (t-201

Pbullgos-4 JG

bull bull bull bull bull bull

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

Example Problem 2

Bent Csp Design

Determine the amount of tension reinforcement r~ed Jn a ~t cap for maximum negative momml considering fotigue and crack control crllorlo

Service Load Dolo DoadLoad H bull Lltgtad P middotLoad

(OL) (Ll+l) (LL+I)

Mu moment -2 146 -706 middot2155 Min moment 0

~ ~6 ~18- _1~

Ibull bull bull bull bull bull bull bull bull bull t -1- 7 i6 Oigtor bar$

(tronsvorso deck sleel) 1- ~1 1 Main Bars

I 11 I

Cap-Section sa bullbull 2

Page 5middot-lt 7 Concl6ttt Design Pagram ------------------shy

bull bull bull

bullbullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

bull bull bull bullbull bullbullbullbullbullbullbullbullbull bull bull bullbullbull bull bull bullbull bull 0 bullbullbullbullbullbullbull bull bull bull

YOtIR ~ Fni)IAi IS OmltA7 CIJ OZSJC~ NH RtlSaRSamp ~ SEit vtl ON eGo t7

OampSJQlt iS= )25 001)) 29000 bullo lO sso bullo iOo- 8 2 5 ( 00 1(middot0 00 middot YAlP 0 11 ltU 1 (1 00 orm 7 2 00 1 coo 0 00 0 01

IOXl~m NCITt~ HO~T

-214 - lCli bull middot2SS bull0 0 0 lll 211 llO lCO 090

Page 5middot4 8

Page 18: Chapter 5-Reinforced Concrete - Caltrans · Box Girder Design ... equilibrium of internal stresses and compatibility of strains. ... mode, the designorenleJo thenumb

--- -

bullbullbullbullbullbullbullbull Bridge Computer Manual - September 1994 bull

bull bullbull bullbull bull bull bull bull bullbull bullbullbullbullbullbullbullbullbullbullbullbull 0 bullbull

0 bullbull bullbullbull bull bullbullbullbullbullbullbullbullbullbull bullbull bull bullbull bull bullbullbullbullbull bullbull bull bullbullbullbullbullbullbull 0 bull bullbullbullbullbullbullbullbullbullbull 0 bullbullbull bull bullbullbull 0 bullbull bullbullbullbull bullbullbull0 bullbull bull bull

bull~DtVlcamp-t-rAnacq-

fAA ~ KU ~liJW rQtl ~4001 au JtllO ~ SJIi SIU Qolt ~ISS $UU kAlaquoJIpound RAQ t Ph SiACS nua uu octc

t~l ~lSu us1 CJtll I ll ) f Nl C~ DCJ triO

221 21 0 ) t) aot 6249 SiS sc lS SmiddotAS li 4 5 uu l 1 12 61 00 u u u a 11 SmiddotAS 31 e )])$ 1)11 1744 lll nu 10 P-PM llJl n u 1) 2) ll l) U 22 S ll lt( U bull P- Jt l tc u oc uu nn U ll 650 4 Lf0 bull fbullTA nti )i 00 U Lt 1121 ll~ s u 4 55 imiddotbullfAC u o )6 0) au ll 2 ) n u )Jl u u Pbullf u ts H Co Jt 112 (3 50 l t-t u bull l

PAC exES

1 bull JJ SAt m US 7U~ HI AAn10 Ml)nctbS (t2l ) raquo Sigt~ Ipound$1 7MAf TKE ~ cAlOlVIS KItllHJiot (P gtU C1)WI ltCirOQ K~ nLo 1(1 UIHlO MlXldJM I S 1 bull (t-201

Pbullgos-4 JG

bull bull bull bull bull bull

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

Example Problem 2

Bent Csp Design

Determine the amount of tension reinforcement r~ed Jn a ~t cap for maximum negative momml considering fotigue and crack control crllorlo

Service Load Dolo DoadLoad H bull Lltgtad P middotLoad

(OL) (Ll+l) (LL+I)

Mu moment -2 146 -706 middot2155 Min moment 0

~ ~6 ~18- _1~

Ibull bull bull bull bull bull bull bull bull bull t -1- 7 i6 Oigtor bar$

(tronsvorso deck sleel) 1- ~1 1 Main Bars

I 11 I

Cap-Section sa bullbull 2

Page 5middot-lt 7 Concl6ttt Design Pagram ------------------shy

bull bull bull

bullbullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

bull bull bull bullbull bullbullbullbullbullbullbullbullbull bull bull bullbullbull bull bull bullbull bull 0 bullbullbullbullbullbullbull bull bull bull

YOtIR ~ Fni)IAi IS OmltA7 CIJ OZSJC~ NH RtlSaRSamp ~ SEit vtl ON eGo t7

OampSJQlt iS= )25 001)) 29000 bullo lO sso bullo iOo- 8 2 5 ( 00 1(middot0 00 middot YAlP 0 11 ltU 1 (1 00 orm 7 2 00 1 coo 0 00 0 01

IOXl~m NCITt~ HO~T

-214 - lCli bull middot2SS bull0 0 0 lll 211 llO lCO 090

Page 5middot4 8

Page 19: Chapter 5-Reinforced Concrete - Caltrans · Box Girder Design ... equilibrium of internal stresses and compatibility of strains. ... mode, the designorenleJo thenumb

bull bull bull bull bull bull

bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

Example Problem 2

Bent Csp Design

Determine the amount of tension reinforcement r~ed Jn a ~t cap for maximum negative momml considering fotigue and crack control crllorlo

Service Load Dolo DoadLoad H bull Lltgtad P middotLoad

(OL) (Ll+l) (LL+I)

Mu moment -2 146 -706 middot2155 Min moment 0

~ ~6 ~18- _1~

Ibull bull bull bull bull bull bull bull bull bull t -1- 7 i6 Oigtor bar$

(tronsvorso deck sleel) 1- ~1 1 Main Bars

I 11 I

Cap-Section sa bullbull 2

Page 5middot-lt 7 Concl6ttt Design Pagram ------------------shy

bull bull bull

bullbullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

bull bull bull bullbull bullbullbullbullbullbullbullbullbull bull bull bullbullbull bull bull bullbull bull 0 bullbullbullbullbullbullbull bull bull bull

YOtIR ~ Fni)IAi IS OmltA7 CIJ OZSJC~ NH RtlSaRSamp ~ SEit vtl ON eGo t7

OampSJQlt iS= )25 001)) 29000 bullo lO sso bullo iOo- 8 2 5 ( 00 1(middot0 00 middot YAlP 0 11 ltU 1 (1 00 orm 7 2 00 1 coo 0 00 0 01

IOXl~m NCITt~ HO~T

-214 - lCli bull middot2SS bull0 0 0 lll 211 llO lCO 090

Page 5middot4 8

Page 20: Chapter 5-Reinforced Concrete - Caltrans · Box Girder Design ... equilibrium of internal stresses and compatibility of strains. ... mode, the designorenleJo thenumb

bull bull bull

bullbullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull

bull bull bull bullbull bullbullbullbullbullbullbullbullbull bull bull bullbullbull bull bull bullbull bull 0 bullbullbullbullbullbullbull bull bull bull

YOtIR ~ Fni)IAi IS OmltA7 CIJ OZSJC~ NH RtlSaRSamp ~ SEit vtl ON eGo t7

OampSJQlt iS= )25 001)) 29000 bullo lO sso bullo iOo- 8 2 5 ( 00 1(middot0 00 middot YAlP 0 11 ltU 1 (1 00 orm 7 2 00 1 coo 0 00 0 01

IOXl~m NCITt~ HO~T

-214 - lCli bull middot2SS bull0 0 0 lll 211 llO lCO 090

Page 5middot4 8