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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
---
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Input Panels
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Bridge Computer Manual - September 1994 bull
ST~L DtT IE3Jl WlJ COVA 80hgtL QC UiEfl ~AA$ zt tnJ PAn~ AIGE
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Concrete Design Program PagoS-43
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General Description
r Etred ive width Tension - compcessfon Top ether bars
~L__--====+-- bull Top mmnbars
1--- Woll ~1lt11h
Bonom main bars
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~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
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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
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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
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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
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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
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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
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Page 5-410 Concrete Design Program
Bridge Computer Manual - September 1994 bull
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Bridge Computer Manual - September 1994 bull
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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
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(OL) (Ll+l) (LL+I)
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Page 5middot-lt 7 Concl6ttt Design Pagram ------------------shy
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Page 5middot4 8
Bridge Computer Manual-September 1994 bull
Input Data Format (Xedit)- conlinued
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Prestress Data 5-425
Lolld Data S-425
FJexure Design Theory middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot---middotmiddot5426
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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
---
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Concrete Design Program PagoS-43
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General Description
r Etred ive width Tension - compcessfon Top ether bars
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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
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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
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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
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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
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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
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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
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Page 5-410 Concrete Design Program
Bridge Computer Manual - September 1994 bull
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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
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(OL) (Ll+l) (LL+I)
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Page 5middot-lt 7 Concl6ttt Design Pagram ------------------shy
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Page 5middot4 8
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
---
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Input Panels
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Bridge Computer Manual - September 1994 bull
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Concrete Design Program PagoS-43
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General Description
r Etred ive width Tension - compcessfon Top ether bars
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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
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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
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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
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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
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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
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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
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Page 5-410 Concrete Design Program
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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
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(OL) (Ll+l) (LL+I)
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Page 5middot-lt 7 Concl6ttt Design Pagram ------------------shy
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General Description
r Etred ive width Tension - compcessfon Top ether bars
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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
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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
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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)
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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
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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
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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
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Page 5-410 Concrete Design Program
Bridge Computer Manual - September 1994 bull
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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
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(OL) (Ll+l) (LL+I)
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Page 5middot-lt 7 Concl6ttt Design Pagram ------------------shy
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General Description
r Etred ive width Tension - compcessfon Top ether bars
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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
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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
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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)
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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
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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
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+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
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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
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Page 5-410 Concrete Design Program
Bridge Computer Manual - September 1994 bull
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Bridge Computer Manual - September 1994 bull
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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)
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~ ~6 ~18- _1~
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Page 5middot-lt 7 Concl6ttt Design Pagram ------------------shy
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General Description
r Etred ive width Tension - compcessfon Top ether bars
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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
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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
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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
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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
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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
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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
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Page 5-410 Concrete Design Program
Bridge Computer Manual - September 1994 bull
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Bridge Computer Manual - September 1994 bull
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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~
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(tronsvorso deck sleel) 1- ~1 1 Main Bars
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Page 5middot-lt 7 Concl6ttt Design Pagram ------------------shy
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Page 5middot4 8
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
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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
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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
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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
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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
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Page 5-410 Concrete Design Program
Bridge Computer Manual - September 1994 bull
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--- -
bullbullbullbullbullbullbullbull Bridge Computer Manual - September 1994 bull
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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~
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(tronsvorso deck sleel) 1- ~1 1 Main Bars
I 11 I
Cap-Section sa bullbull 2
Page 5middot-lt 7 Concl6ttt Design Pagram ------------------shy
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Page 5middot4 8
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
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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
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Bridge Computer Manual - September 1994 bull
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Bridge Computer Manual - September 1994 bull
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liASO o $ I e~CC) S1ttl ltATO
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bullbull - 1 59 i53 nt7 con 10 t n ) 4 middot _HbullFAC I IB 2 )) IOCl PmiddottAr 132 1 50 tau u u ))
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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
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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
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
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YOIJHGS ~OS f(gtR t lilC$$ STtt L UTt~pound STRESS fOlt PRampSTilt$$ itt LOIImiddotAT ~~S SEU
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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
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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
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- 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
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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
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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
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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
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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
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
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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
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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 ~
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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
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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
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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
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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
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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
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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
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PAC exES
1 bull JJ SAt m US 7U~ HI AAn10 Ml)nctbS (t2l ) raquo Sigt~ Ipound$1 7MAf TKE ~ cAlOlVIS KItllHJiot (P gtU C1)WI ltCirOQ K~ nLo 1(1 UIHlO MlXldJM I S 1 bull (t-201
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bull bull bull bull bull bull
bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull
Example Problem 2
Bent Csp Design
Determine the amount of tension reinforcement r~ed Jn a ~t cap for maximum negative momml considering fotigue and crack control crllorlo
Service Load Dolo DoadLoad H bull Lltgtad P middotLoad
(OL) (Ll+l) (LL+I)
Mu moment -2 146 -706 middot2155 Min moment 0
~ ~6 ~18- _1~
Ibull bull bull bull bull bull bull bull bull bull t -1- 7 i6 Oigtor bar$
(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
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
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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
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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
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PtJge 5~ 13
bullbullbull
Bridge Computer Manual - September 1994 bull
bull bull
bullbullbullbull bullbull bullbull bullbull bullbullbullbullbull
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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 ))
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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
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- 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
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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-
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PAC exES
1 bull JJ SAt m US 7U~ HI AAn10 Ml)nctbS (t2l ) raquo Sigt~ Ipound$1 7MAf TKE ~ cAlOlVIS KItllHJiot (P gtU C1)WI ltCirOQ K~ nLo 1(1 UIHlO MlXldJM I S 1 bull (t-201
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bullbullbullbullbullbullbull Bridge Computer Manual- September 1994 bull
Example Problem 2
Bent Csp Design
Determine the amount of tension reinforcement r~ed Jn a ~t cap for maximum negative momml considering fotigue and crack control crllorlo
Service Load Dolo DoadLoad H bull Lltgtad P middotLoad
(OL) (Ll+l) (LL+I)
Mu moment -2 146 -706 middot2155 Min moment 0
~ ~6 ~18- _1~
Ibull bull bull bull bull bull bull bull bull bull t -1- 7 i6 Oigtor bar$
(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
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Page 5middot4 8
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
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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
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LOAD PlllB bull MAX PODMVt ~ittr
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PtJge 5~ 13
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Bridge Computer Manual - September 1994 bull
bull bull
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Conrtee Design Program
bullbullbull
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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
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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
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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
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IOXl~m NCITt~ HO~T
-214 - lCli bull middot2SS bull0 0 0 lll 211 llO lCO 090
Page 5middot4 8
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$0 bullbull
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Bridge Computer Manual - September 1994 bull
o o o o o o o o o o o o o o o
l~ ) Sl ~32i9J PADr
bull bull bullbullbullbull 0 bullbullbullbullbullbullbullbullbullbullbullbullbull bull bullbullbullbullbullbullbullbullbullbullbull 0 bullbull0 bullbullbullbullbull bullbull bullbullbull bullbull bull bull bull bull bull bullbull bull 0 0
c~L-t Dtscs F-POlfJI ( RC) FStNrcFCec comatTE ( i ) PA~TltlLY FR1$TRB$8poundD ~) rtJt) lfZSRZ$1)
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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
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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
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bull 0 bullbullbullbullbullbullbullbullbullbullbullbullbullbull
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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
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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
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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
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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
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
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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
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Wrotll (If 11
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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
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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
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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
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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
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
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
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
--- -
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
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
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