004 R0 VRC Design Calculations for Pier Design P1

8/17/2019 004 R0 VRC Design Calculations for Pier Design P1

1/30

1.0 DESIGN OF FIXED PIER

DESIGN DATA:

Formation Level = 472.669 m

Wearing Coat thickness = 0.065 m

Deck slab hickness = 0.24 m

De!th o" #ir$er = %.625 m

&o""it o" #ir$er = 470.7'9 m

(a)i. *t o" +earing ,e$estal = 0.4 m

+earing Level = 470.7'9 m

+earing = 0.%05 m

o! level o" ,ier ca! = 470.2'4 m

De!th o" ,ier ca! = %.6 m

+ot. Level o" ,ier ca! = 46-.6'4 m

Fon$ing level = 46% m

+ott Level o" !ier colmn = 462.65 m

hickness o" Fon$ation at the root = %.65 m

#ron$ Level = 464.5 m

ESTIMATION OF LOADS

1.0 Dead Loads

First Span-!.0" span

S.No. Load Des#ription Load $a%#&%ations 'a%&e ()N*

%Deck &lab/,recast ,anel %9--

2 (ain #ir$ers =444.9559.-% = %764

' Dia!hragms =0.4%.41%2''0.653242= %-6

Tota% '9'-

Center o" bearing "rom center o" !ier = 0.5

=25%20.242.49.-%/250.075'2.'2.49.-%=


2/30

Se#ond Span -!.0" span


%Deck &lab/ ,recast ,anel %9--

2 (ain #ir$ers =444.9559.-% = %764

' Dia!hragms =0.4%.41%2''0.653242= %-6

Tota% '9'-

Center o" bearing "rom center o" !ier = 0.5

Tota% Dead Load on Pier

ertical eaction = '9'- k

ranverse moment = 0 km

Longit$inal (oment = 0 km

.0 S&peri"posed Dead Loads

First Span-!.0" span


% Wearing Coat =25%%0.06522 = '-62 Crash +arrier = 6.75252 = '%-

Tota% 704

Se#ond Span -!.0" span

S.No. Load Des#ription Load $a%#&%ations 'a%&e()N*

2 Wearing Coat =25%%0.06522 = '-6

4 Crash +arrier = 6.75252 = '%-

Tota% 704

=25%20.242.49.-%/250.075'2.'2.49.-%=


3/30

Tota% SIDL on Pier

ertical eaction = 704 k

ranverse moment = 0 km

Longit$inal (oment = 0 km

+.0 Li,e Load

Trans,erse E##. D&e To 0R(1 Lane* $%-A(1 Lane*

2.79m %.-m

%.2m 0.%5m

7m

C# o" the 70 Loa$ "rom the oter e$ge= '.095 m

C# o" the Cl Loa$ "rom the e$ge o" the

'r$ Lane 17m "rom the oter e$ge3= -.- m

C8L o" the Deck "rom the e$ge o" the C8Wa= 6 m

*ence et ransverse ecc at the C8L o" the Deck= 0.-7%2 m

Trans,erse E##. D&e To $%-A(+ Lane*

0.%5m


4/30

C# o" the ' L Cl Loa$ "rom the oter e$ge= 5.' m

C8L o" the Deck "rom the e$ge o" the C8Wa= 6 m

*ence et ransverse ecc at the C8L o" the Deck= 0.7 m

+.1 For Ma/ Rea#tion $ase

R1()N*

Class 12Lane3 42-.697

70 Wheele$ 1% Lane3 4%4.00

70 Wheele$ / % Lane Cl 674.00

' Lane Class 7-0.00

For 70 R Wheeled

ertical eaction = -4- k

Longit$inal (oment = %0.00 km

ransverse :cc= 2.905 m

ransverse (oment= 246' km

For 0 R ee%ed1 L $%-A

e$ction "actor as !er Clase 20- o" ;C


5/30

Longit$inal (oment = 72.00 km


ransverse (oment= --2 km

+. For Ma/ Lon2it&dina% Mo"ent $ase

R1()N*

Class 12Lane3 675.00

70 Wheele$ 1% Lane3 77%.00

70 Wheele$ / % Lane Cl %%56.00

' Lane Class %%56.00

For 0 R ee%ed

ertical eaction = 77% k

Longit$inal (oment = '-6 km


ransverse (oment= 2240 km

For 0 R ee%ed1 Lane $%ass -A

e$ction "actor as !er Clase 20- o" ;C


6/30

3.0 IND LOAD

*FL= 464.5 m

Formation Level = 472.669 m

*t 1*3= -.%69 m

s !er 4 o" ;C

elocit 1v3 = %%'.42 ?m!*

,ressre 1,3 = -2.76 ?g8m2

:)!ose$ Length= 25 m

:)!ose$ De!th= 2.9' m

ransverse Force on &!erstrctre = 59.47 ?

(inimm "orce on &!erstrctre = %%0.'6 ?

ransverse Force on Live Loa$= 2-.5- ?

Tota% Trans,erse For#e 4 -'.76 ?

Win$ "orce is acting on &!erstrctre = 472.20 m

Win$ "orce is acting on Live loa$ at level = 47'.-7 m

Wi$th o" ,ier =

De!th o" ,ier Ca! =

ransverse @in$ on ,ier Ca! = 2

Level at the to! o" the !ier ca! = 470Win$ "orce is acting at level = 469


7/30

!.0 LONGIT5DINAL FOR$ES

!.1 6EARING DEFORMATION FOR$ES :

Sear Ratin2 7or E%asto"eri# 6earin2s

For A8&t"ent

Averall brea$th 1long. Direction3

Averall length 1trans. Direction3

hickness o" each laer o" elastomer

n mber o" internal elastomer laer

hickness o" oter elastomer laer

hickness o" oter steel laer

&i$e elastomer cover

total elastomer thickness

Ater $imension 1overall thickness3

8 :"". @i$th o" brg.1e)cl$ing cover3

% :"". length o" brg.1e)cl$ing cover3

A :"".!lan area o" brg.1e)cl$ing cover3 4% ; 8

'r &hear rating o" elastomeric bearing 4GA


8/30

*ence translation in long. Direction 1Lc3= 0.0

*ence *or. Force on one bearing = r ) Lc = 4

o. o" +earings on one s!erstrctre=

*o@ever on an !ier the bearing $e"ormation "orces on the o!!osite si$es @ill $ie ot.

*enceas !er Cl. 2%4.5.%.5 o" ;C


9/30

D&e To Li,e Load o7 1 Lane o7 0 R ee%ed and 1 Lane o7 $%ass-A :

S&pport 'r(=N


10/30

.0 Se%7 Ct. O7 S&8strt&re

&el" Wt o" ,ier Ca! = 509 ?

C.# o" ,ier ca! loa$ = 469.60 m

%.00

CA&& &:C :

'.00 m

PIER SE$TION

Level at the to! o" the !ier ca! 470.2' m

Level at the bottom o" the !ier 462.65 m

De!th o" ,ier Ca! %.6 m

*eight o" ,ier !.@ m

&el" Wt o" ,ier Colmn = '92.4 k

C.g o" Loa$ acting at level = 465.64 m

;nterme$iate level = 465.00

&el" Wt o" ,ier Colmn = 2'-.' ?

C.g o" Loa$ acting at level = 466.- m

.0 Seis"i# For#es

.1 Seis"i# For#es in %on2it&dina% dire#tion

D.L reaction acting on the ,ier = %'92' ?

&eismic Coe""icient= 0.0426

&eismic "orce $e to DL = 59' ?

&eismic "orce is acting at level = 470.74 m

his otal Force is $istribte$ bet@een ,iers an$ btments $e!en$ing !on the &ti""ness.

&el" Wt o" ,ier Ca! = 509 ?

C.# o" ,ier ca! loa$ = 469.60 m&eismic "orce $e to !ierca! DL = 2%.70 ?


11/30

&el" Wt o" ,ier Colmn = '92 ?

C.# o" ,ier colmn loa$ = 465.64 m

&eismic "orce $e to !ier colmn %6.72 ?

;nterme$iate Level

&el" Wt o" ,ier Colmn = 2'- ?

C.# o" ,ier colmn loa$ = 466.-2 m

&eismic "orce $e to !ier colmn %0 ?

. Seis"i# For#es in tras,erse dire#tion

D.L reaction acting on the ,ier = 464% ?

&eismic Coe""icient= 0.%20

&eismic "orce $e to DL = 557 ?

&eismic "orce is acting at level = 47%.70 m

&el" Wt o" ,ier Ca! = 509 ?

C.# o" ,ier ca! loa$ = 469.60 m

&eismic "orce $e to !ierca! DL = 6% ?

&el" Wt o" ,ier Colmn = '92 ?C.# o" ,ier ca! loa$ = 465.64 m

&eismic "orce $e to !ier colmn 47 ?

;nterme$iate Level

&el" Wt o" ,ier Colmn = 2'- ?

C.# o" ,ier colmn loa$ = 466.-2 m

&eismic "orce $e to !ier colmn 29 ?

&eismic "orce $e to Live loa$ = 76 ?

cting at level = 47'.-69 m


12/30

@.0 S&""ar o7 7or#es on Fi/ed Pier at 6earin2 Le,e%

Sno. Des#ription o7 Loads< For#es 'erti#a% Load (P*

()N* ()N*

%.0 Dea$ Loa$ "rom &!erstrctre '9'-

2.0 &!erim!ose$ Dea$ Loa$ 704

'.0 Live loa$

'.% (a)imm eaction

'.%.% 70 @heele$ 1% vehi.3 -4-

'.%.2 70 / Class %1% vehi.3 %%-'

'.%.' ' lanes o" Class %260

'.2 (a)i.Long. (oment

'.2.% 70 @heele$ 1% vehi.3 77%

'.2.2 70 / Class %1% vehi.3 %040

'.2.' ' lanes o" Class %040

4.0 Win$ loa$

4.% Win$ loa$ on &!erstrctre 0

4.2 Win$ loa$ on Live loa$ 0

5.0 +raking Force

5.% 70 @heele$ 1% vehi.3 0

5.2 70 / Class %1% vehi.3 0

5.' ' lanes o" Class 0

5.4 +earing De"ormation 0

6.0 &eismic loa$

6.% &eismic loa$ in Long. Direction

6.%.% Dea$ Loa$ "rom &!erstrctre 0

6.2 &eismic loa$ in rans. Dir.

6.2.% Dea$ Loa$ "rom &!erstrctre 0

6.2.2 Live loa$ 0

ori. For#e (


13/30

10.0 S&""ar o7 7or#es on Fi/ed Pier at 6ot o7 Pier #o%&"n


()N* ()N*



'.0 Live loa$

'.% (a)imm eaction

'.%.% 70 @heele$ 1% vehi.3 -4-

'.%.2 70 / Class %1% vehi.3 %%-'



'.2.% 70 @heele$ 1% vehi.3 77%

'.2.2 70 / Class %1% vehi.3 %040


4.0 Win$ loa$



4.' Win$ loa$ on ,ier Ca! 0

5.0 +raking Force

5.% 70 @heele$ 1% vehi.3 0

5.2 70 / Class %1% vehi.3 0



6.0 &eismic loa$


6.%.% From &!erstrctre 0

6.%.2 From ,ier Ca! 0

6.%.' From ,ier Colm. 0

ori. For#e (


14/30



6.2.2 Live loa$ 0

6.2.' From ,ier Ca! 06.2.4 From ,ier Colm. 0

9.0 &el" Wt o" ,ier Ca! 509

%0.0 &el" Wt o" ,ier Col '92

Load $o"8ination 1: DL SIDL LL(0R Ma/i. P* Lon2. ater $&rrent 6&oan# at 6otto"


()N* ()N*



'.0 Live loa$

'.% 70 @heele$ 1% vehi.3 -4-

4.0 Longit$inal Force

4.% +.F 1703 0

4.2 De"ormation o" +earings 0

7.0 &bstrctre @t. 902

Tota% 9+@1

Load $o"8ination : DL SIDL LL (0R $% A Ma/i. P* Lon2. ater $&rrent 6&oan# at 6


()N* ()N*



'.0 Live loa$

'.% 70 / Class %1% vehi.3 %%-'


4.% +.F 170/ Class 3 04.2 De"ormation o" +earings 0


Tota% 9!

Load $o"8ination +: DL SIDL LL (+ $%ass A Ma/i. P* Lon2. ater $&rrent 6&oan# at 6o

ori. For#e (

ori. For#e (


15/30


()N* ()N*



'.0 Live loa$

'.% ' lanes o" Class %260


4.% +.F 1' Class 3 0



Tota% 90+

Load $o"8ination 3: DL SIDL LL(0R "a/i. ML* Lon2. ater $&rrent 6&oan# at Pier #


()N* ()N*



'.0 Live loa$

ori. For#e (

ori. For#e (


16/30

'.% 70 @heele$ 1% vehi.3 77%


4.% +.F 1703 0

4.2 De"ormation o" +earings 07.0 &bstrctre @t. 902

Tota% 9+13

Load $o"8ination !: DL SIDL LL (0R $% A Ma/i. ML* Lon2. ater $&rrent 6&oan# at


()N* ()N*



'.0 Live loa$

'.% 70 / Class %1% vehi.3 %040


4.% +.F 170/ Class 3 0



Tota% 9!+

Load $o"8ination 9: DL SIDL LL (+ $%ass A Ma/i. M%* Lon2. ater $&rrent 6&oan# at P


()N* ()N*



'.0 Live loa$

'.% ' lanes o" Class %040


4.% +.F 1' Class 3 0



Tota% 9!+

ori. For#e (

ori. For#e (


17/30

Load $o"8ination : DL SIDL LL(0R "a/i. ML* ind Lon2. ater $&rrent 6&oan# at


()N* ()N*



'.0 Live loa$

'.% 70 @heele$ 1% vehi.3 77%


4.% +.F 1703 0


7.0 &bstrctre @t. 902-.0 Win$ 0

Tota% 9+13

Load $o"8ination : DL SIDL LL(0R "a/i. ML* Lon2 Seis"i#Lon2. For#es ater $&rrent


()N* ()N*



'.0 Live loa$ 1503

'.% 70 @heele$ 1% vehi.3 '-6


4.% +.F 1703 0



-.0 Longit$inal &eismic 0

Tota% !@

ori. For#e (

ori. For#e (


18/30

Load $o"8ination @: DL SIDL LL(0R "a/i. ML* Trans, Seis"i# Lon2. ater $&rrent 6&


()N* ()N*



'.0 Live loa$ 1503

'.% 70 @heele$ 1% vehi.3 '-6


4.% +.F 1703 0



-.0 ransv. &eismic 0

Tota% !@

11.0 S&""ar o7 7or#es on Pier at Inter. Le,e% o7 Fi/ed Pier #o%&"n


()N* ()N*



'.0 Live loa$

'.% (a)imm eaction

'.%.% 70 @heele$ 1% vehi.3 -4-

'.%.2 70 / Class %1% vehi.3 %%-'


ori. For#e (

ori. For#e (


19/30


'.2.% 70 @heele$ 1% vehi.3 77%

'.2.2 70 / Class %1% vehi.3 %040


4.0 Win$ loa$




5.0 +raking Force

5.% 70 @heele$ 1% vehi.3 0

5.2 70 / Class %1% vehi.3 0



6.0 &eismic loa$







6.2.2 Live loa$ 0

6.2.' From ,ier Ca! 0

6.2.4 From ,ier Colm. 0

9.0 &el" Wt o" ,ier Ca! 509

%0.0 &el" Wt o" ,ier Col 2'-


20/30

Load $o"8ination 1: DL SIDL LL(0R "a/i. ML* Lon2. ater $&rrent 6&oan# at Inter"


()N* ()N*



'.0 Live loa$

'.% 70 @heele$ 1% vehi.3 77%


4.% +.F 1703 0


7.0 &bstrctre @t. 74-

Tota% 9190

Load $o"8ination : DL SIDL LL(0R "a/i. ML* Lon2 Seis"i#Lon2. For#es ater $&rrent


()N* ()N*



'.0 Live loa$ 1503

'.% 70 @heele$ 1% vehi.3 '-6


4.% +.F 1703 0




Tota% !3

ori. For#e (

ori. For#e (


21/30

Load $o"8ination +: DL SIDL LL(0R "a/i. ML* Trans, Seis"i# Lon2. ater $&rrent 6&


()N* ()N*



'.0 Live loa$ 1503

'.% 70 @heele$ 1% vehi.3 '-6


4.% +.F 1703 0




Tota% !3

1.0 S&""ar o7 7or#es on Pier and Fo&ndation at Fo&ndin2 Le,e%


()N* ()N*



'.0 Live loa$

'.% (a)imm eaction

'.%.% 70 @heele$ 1% vehi.3 -4-

'.%.2 70 / Class %1% vehi.3 %%-'



'.2.% 70 @heele$ 1% vehi.3 77%

'.2.2 70 / Class %1% vehi.3 %040


4.0 Win$ loa$



ori. For#e (

ori. For#e (


22/30


5.0 +raking Force

5.% 70 @heele$ 1% vehi.3 0

5.2 70 / Class %1% vehi.3 0



6.0 &eismic loa$







6.2.2 Live loa$ 0

6.2.' From ,ier Ca! 0

6.2.4 From ,ier Colm. 0

9.0 &el" Wt o" ,ier Ca! 509

%0.0 &el" Wt o" ,ier Col '92

Load $o"8ination 1: DL SIDL LL(0R "a/i. ML* Lon2.For#es ater $&rrent 6&oan# at


()N* ()N*



'.0 Live loa$

'.% 70 @heele$ 1% vehi.3 77%


4.% +.F 1703 0



Tota% 9+13

Load $o"8ination : DL SIDL LL(0R "a/i. ML* Lon2. Seis"i#Lon2. For#es ater $&rren


()N* ()N*

ori. For#e (

ori. For#e (


23/30



'.0 Live loa$ 1503

'.% 70 @heele$ 1% vehi.3 '-6


4.% +.F 1703 0




Tota% !@

Load $o"8ination +: DL SIDL LL(0R "a/i. ML* Trans, Seis"i# Lon2. ater $&rrent 6&


()N* ()N*



'.0 Live loa$ 1503

ori. For#e (


24/30

'.% 70 @heele$ 1% vehi.3 '-6


4.% +.F 1703 0

4.2 De"ormation o" +earings 07.0 &bstrctre @t. 902


Tota% !@


25/30

COMBINATION OF LOADS

Summary of Forces at the Bottom of the Pier Column

Description

651 152 251

686 161 105

693 147 90

644 191 228

671 212 92

671 193 74

644 191 370

604 256 114

604 150 772

Summary of forces at the level of the Intermeiate Level of the Pier Column

Description

628 147 228

589 185 114

589 112 597

Summary of forces at the Founin! level

Description

6314 2172 2240

5928 3007 1120

5928 1728 8799

"erticalLoa #P$

T

Lon!ituinalMoment#M

L$

Tm

TransverseMoment#M

T$

TmDL + SIDL + LL(70R Maxi. P) + Long. + Wate!"ent + #"o$an%$

DL + SIDL + LL (70R + !& ' Maxi. P) + Long. +Wate !"ent + #"o$an%$

DL + SIDL + LL (3 !&a ' Maxi. P) + Long. +Wate !"ent + #"o$an%$

DL + SIDL + LL(70R axi. ML) + Long. +Wate !"ent + #"o$an%$

DL + SIDL + LL (70R + !& ' Maxi. ML) + Long.+ Wate !"ent + #"o$an%$

DL + SIDL + LL (3 !&a ' Maxi. M&) + Long. +

Wate !"ent + #"o$an%$DL + SIDL + LL(70R axi. ML) +Win*+ Long.+ Wate !"ent + #"o$an%$DL + SIDL + LL(70R axi. ML) +LongSeii%+Long. o%e + Wate !"ent +#"o$an%$

DL + SIDL + LL(70R axi. ML) +,an-Seii%+ Long. + Wate !"ent + #"o$an%$

"erticalLoa #P$

T

Lon!ituinalMoment#M

L$

T%m

TransverseMoment#M

T$

T%m

DL + SIDL + LL(70R axi. ML) + Long. +Wate !"ent + #"o$an%$DL + SIDL + LL(70R axi. ML) +LongSeii%+Long. o%e + Wate !"ent +#"o$an%$


"erticalLoa #P$

&N

Lon!ituinalMoment#M

L$

&Nm

TransverseMoment#M

T$

&Nm

DL + SIDL + LL(70R axi. ML) + Long. +Wate !"ent + #"o$an%$DL + SIDL + LL(70R axi. ML) +LongSeii%+Long. o%e + Wate !"ent +#"o$an%$



26/30


27/30

CALC0LATION OF S1ISMIC CO1FFICI1NT%LON2IT0DINAL3ori4ontal Seismic Forces5

/one o /one a%to

oionta& Seii% !oe%ient II 0.10

III 0.16

I 0.24

0.36

I Iotan%e a%to

I 1.5

/ /one a%to a gi-en in ta&e 5 (Intei Se%i%ation)

/one o III

/ 0.16

R Reone e*"%tion a%to

R 2.5

,

oionta& o%e in e:"ie* to e a&ie* at t;e %ente o a o t;e "et"%t"e o one

;oionta& *e *6/)7

Moment of inertia in longitudinal direction

M.I o t;e e%tion ao"t it !.> 0.216

>a*e o %on%ete ,7 ga*e

?o"ng@ o*"&" o e&ati%it$ o %on%ete A 29580

eig;t o ie ao-e t;e o"n*ation +67/)

,+7)-7 B=

),/(' B=

Dea* Loa* o S"et"%t"e (DL + SIDL) 13923 B ,ota& &oa* D 13923 B

,ie eio* , 1.126 e%

0.888

0.0426

o %a&%"&ation "oeC eii% %oe%ient ;a een taen 0.043

e:

';x (Dea* Loa* + 'oiate Li-e Loa*)

';

';

4

4

4

=2

Stine o ie in tan-ee *ie%tion (3AI , = L3)

Stine o ie in &ongit"*ina& *ie%tion (3AIL = L3)

Sa=g

';

(

Z

2

) (

Sa

g

)( R I )

2. 0 √ D

1000 F

I

R g

S Z a

2

2. 0 √ D

1000 F


28/30


/one o /one a%to


III 0.16

I 0.24

0.36

I Iotan%e a%to

I 1.5


/one o III

/ 0.16


R 2.5

,


;oionta& *e *6/)7





eig;t o ie ao-e t;e o"n*ation +6+,)

,7,(/, B=

)*,// B=

Dea* Loa* o S"et"%t"e (DL + SIDL) 13923 BLi-e Loa* o S"et"%t"e 0 B (Ene &ane o 70R F;ee&

,ota& &oa* D 13923 B

,ie eio* , 1.160 e%

0.862

0.0414


e:


';

';

4

4

4

=2



Sa=g

';

(

Z

2

) (

Sa

g

)( R I )

2. 0 √ D

1000 F

(

Z

2

) (

Sa

g

)( R I )

2. 0 √ D

1000 F


29/30


/one o /one a%to


III 0.16

I 0.24

0.36

I Iotan%e a%to

I 1.5


/one o III

/ 0.16


R 2.5

,


;oionta& *e *6/)7





eig;t o ie ao-e t;e o"n*ation +6+,)

,7,(/, B=

)*,// B=

Dea* Loa* o S"et"%t"e (DL + SIDL) 13923 BLi-e Loa* o S"et"%t"e 0 B (Ene &ane o 70R F;ee&

,ota& &oa* D 13923 B

,ie eio* , 1.160 e%

0.862

0.0414


e:


';

';

4

4

4

=2



Sa=g

';

(

Z

2

) (

Sa

g

)( R I )

2. 0 √ D

1000 F

(

Z

2

) (

Sa

g

)( R I )

2. 0 √ D

1000 F


30/30

L amboll Conslting :ngineers Limite$

CALC0LATION OF S1ISMIC CO1FFICI1NT%T8ANS"18S13ori4ontal Seismic Forces5

/one o /one a%to


III 0.16

I 0.24

0.36

I Iotan%e a%to

I 1.5


/one o III

/ 0.16


R 2.5

,


;oionta& *e *6/)7





eig;t o ie ao-e t;e o"n*ation +67/)

,+7)-7 B=

),/(' B=

Dea* Loa* o S"et"%t"e (DL + SIDL) 4641 B

Li-e Loa* o S"et"%t"e 386 B ,ota& &oa* D 5027 B

,ie eio* , 0.231 e%

2.500

0.1200

o %a&%"&ation "oeC eii% %oe%ient ;a een tae 0.1200

e:


';

';

4

4

4

=2



Sa=g

';

(Z 2 ) (Sa

g )( R

I )

2. 0 √ D

1000 F

(Z 2 ) (Sa

g )( R

I )

2. 0 √ D

1000 F

Documents

004 R0 VRC Design Calculations for Pier Design P1