898/S

R
0

DATE

SHEET

NOTE No.
PROJECT:
SUBJECT:

Metrolink Express for Gandhinagar and Ahmedabad (MEGA)

East west Corridor (reach 2)
Preliminary Design note for elevated Metro rail station structures

12 Aug 16
BY

CHKD

PRA

ASK

Cable Losses
Basic Data
Sheathing
Maxm Sheath Dia
Coef of Friction
Coeff of Wobble k
Strand System
Area of each strand
Mod of Elasticity
slip
Stressing Sequence

HDPE
75.0
0.17
0.002
7K15
140.000
1.95E+05
6.0

Total no of cables
No of Strands
G2/G3

mm
(Ref.IRC:112 Table 7.1 )
per metre
mm2
mpa
mm

Stage 1
5
30
14

Stage 2
0
0
14

Cable C G s
Location

dist from bottom

cable 5
Cable 6 cmbd 1,2
7 /D
0
& 5 ,6

nos

cable1&2
14

cable3
7

Cable 4
7

0.0L

160.0

482.0

742.0

1002.0

1332.76

0.1L

122.6

342.9

558.1

773.2

0.2L

110.0

241.0

423.3

0.3L

110.0

168.2

0.5L

110

110

cable1&2

cable3

Cable 4

cable 5

nos

14

0.0L

440.0

118.0

0.1L

479.5

0.2L

All cables

cmbd 3,4

440.7

509.2

612.0

1052.15

339.4

383.9

450.5

605.5

832.46

275.2

298.0

332.1

327.0

485.8

675.54

235.3

240.2

247.6

250

390

550.00

203.3

194.0

180.0

Cable 6

cmbd 1,2

All cables

7 /D

&5,6

-142.0

-402.0

-732.8

159.3

90.8

417.9

-12.0

259.1

44.0

-171.1

-450.1

262.6

218.2

566.3

151.6

494.1

363.1

180.8

-1.4

-228.3

328.9

306.1

675.2

272.0

0.3L

494.1

435.9

277.1

118.3

-71.4

368.8

363.9

733.0

356.5

0.5L

494.1

494.1

354.1

214.1

54.1

400.8

410.1

779.2

424.1

Loc

C G from N A girder alone

CG frm N A
with deck

cmbd 3,4

all cables

898/S

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DATE

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NOTE No.
PROJECT:
SUBJECT:

Metrolink Express for Gandhinagar and Ahmedabad (MEGA)

East west Corridor (reach 2)
Preliminary Design note for elevated Metro rail station structures

12 Aug 16
BY

CHKD

PRA

ASK

Wobble and friction losses :

x = o . e

-(+kx)

Friction coef k
Wobble coef

0.002
0.17

per metre

Distance upto centre

Distance upto other end

8.255
16.51

m
m

Section

length of
section
l in (m)

k*l

1,2

A-B
B-C
C-D
D-E
E- F

1.735
1.63
1.63
3.26
8.26

0.00347
0.00326
0.00326
0.00652
0.01651

0.026379 0.0044844 0.0079544

0
0
0.00326
0
0
0.00326
0
0
0.00652
0.026379 0.0044844 0.0209944

0.9920771
0.9967453
0.9967453
0.9935012
0.9792243

A-B
B-C
C-D
D-E

1.735
1.63
1.63
3.26

0.00347
0.00326
0.00326
0.00652

0.013501
0.017819
0.017819
0.035638

0.0022951
0.0030292
0.0030292
0.0060584

0.0057651
0.0062892
0.0062892
0.0125784

0.9942514
0.9937305
0.9937305
0.9875003

A-B
B-C
C-D
D-E

1.735
1.63
1.63
3.26

0.00347
0.00326
0.00326
0.00652

0.017824
0.023525
0.023525
0.04705

0.0030301
0.0039992
0.0039992
0.0079984

0.0065001 0.993521
0.0072592 0.992767
0.0072592 0.992767
0.0145184 0.9855864

A-B
B-C
C-D
D-E

1.735
1.63
1.63
3.26

0.00347
0.00326
0.00326
0.00652

0.022121
0.029196
0.029196
0.058392

0.0037606
0.0049633
0.0049633
0.0099267

0.0072306
0.0082233
0.0082233
0.0164467

Cable
No.

Angle in
rad

x=k*l+*

e-x calculated
for each

0.9927955
0.9918103
0.9918103
0.9836877

898/S

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NOTE No.
PROJECT:
SUBJECT:

Cable
No.

Metrolink Express for Gandhinagar and Ahmedabad (MEGA)

East west Corridor (reach 2)
Preliminary Design note for elevated Metro rail station structures
Reference Cable force
point
before slip

Stress in
cable

N/mm2

KN

12 Aug 16
BY

CHKD

PRA

ASK

Slip travel Cable stress Cable stress Cable force

length
at zero slip
after slip
after slip

N/mm2

N/mm2

KN

(Due to friction and

per strand

per strand

wobble effect)

( o * e-x)

1,2

A , o =
B
C
D
E
F

195.3
193.8
193.1
192.5
191.2
187.3

1395

1395.0
1383.9
1379.4
1375.0
1366.0
1337.6

1383.9

1379.4

18.883
>
16.51

1301.9
1312.3
1316.5
1320.8
1329.5
1337.6

1329.5

182.3
183.7
184.3
184.9
186.1
187.3

1375.0
1366.0
1329.5

128.0

106.8

98.1

1337.6

72.1

89.4

1293.9
1267.0

1277.2

1281.3

1285.5

`
E

Midspan

Effective area between the two curves

0.5*(128+106.8)*1.74+0.5*( 106.8+98.1)*1.63+0.5*(98.1+89.4)*1.63
=
+0.5*(89.4+72.1)*13.89) +0.5*(72.1*(18.88-8.26)
=
1170.0
N/mm
Hence slip
=
1170.0

1000
195000

6.00

mm

Area under the stress diagram

=
0.5*(1395+1383.9)*1.74+0.5*( 1383.9+1379.4)*1.63+0.5*(1379.4+1375)*1.63+0.5*(1375+1366)*3.26
0.5*(1366+1337.6)*8.26

22534.9

Average stress
=
22534.86
16.51
Elongation
=
22534.9

1364.92

N/mm2

1000
195000

115.6

1267.0

N/mm2

Stress at different points

At 0.0 L
=

mm

177.4

at stressing end

KN / strand

898/S

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DATE

SHEET

NOTE No.
PROJECT:
SUBJECT:

Metrolink Express for Gandhinagar and Ahmedabad (MEGA)

East west Corridor (reach 2)
Preliminary Design note for elevated Metro rail station structures

At 0.1 L
At 0.2 L
At 0.3 L
At 0.5 L

Cable
No.

=
=
=
=

Reference Cable force

point
before slip

KN

1277.2
1281.3
1285.5
1293.9

Stress in
cable

N/mm2

=
=
=
=

12 Aug 16
BY

CHKD

PRA

ASK

178.8
179.4
180.0
181.1

Slip travel Cable stress Cable stress Cable force

length
at zero slip
after slip
after slip

N/mm2

N/mm2

KN

(Due to friction and

per strand

per strand

wobble effect)

( o * e-x)

A
B
C
D
E

1395.0

195.3
194.2
193.0
191.8
189.4

1395.0
1387.0
1378.3
1369.6
1352.5

15.097
>
8.255

1316.6

1387.0

1378.3

1369.6

137.2

120.6

104.0

1249.8

1257.7

1265.6

1242.6
1249.8
1257.7
1265.6
1352.5

174.0
175.0
176.1
177.2
189.4

1352.5
1316.6

152.4

1242.6

E
midspan

Effective area between the two curves

=
0.5*(152.4+137.2)*1.74+0.5*( 137.2+120.6)*1.63+0.5*(120.6+104)*1.63
+0.5*(104*(15.1-1.63-1.63-1.74)

1170.0

Hence slip
=
1170.0

N/mm

1000
195000

6.00

mm

Area under the stress diagram

=
0.5*(1395+1387)*1.74+0.5*( 1387+1378.3)*1.63+0.5*(1378.3+1369.6)*1.63+0.5*(1369.6+1352.5)*3.26)
=

11343.75

Average stress
=
11343.75
8.255

1374.2

N/mm2

898/S

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DATE

SHEET

NOTE No.
PROJECT:
SUBJECT:

Metrolink Express for Gandhinagar and Ahmedabad (MEGA)

East west Corridor (reach 2)
Preliminary Design note for elevated Metro rail station structures

Elongation
=
11343.8

1000
195000

58.2

Stress at different points

At 0.0 L
At 0.1 L
At 0.2 L
At 0.3 L
At 0.5 L

=
=
=
=
=

1242.6
1249.8
1257.7
1265.6
1352.5

N/mm2

=
=
=
=
=

Cable
No.

Reference Cable force

before slip
point

KN

Stress in
cable

N/mm2

12 Aug 16

mm

A
B
C
D
E

1395.0

195.3
194.0
192.6
191.2
188.5

1386.0

CHKD

PRA

ASK

at each end

174.0
175.0
176.1
177.2
189.4

KN / strand

Slip travel Cable stress Cable stress Cable force

length
at zero slip
after slip
after slip

N/mm2

N/mm2

per strand

BY

KN
per strand

1395.0
1386.0
1375.9
1366.0
1346.3

1375.9

14.088
>
8.255

1311.1

1232.2
1240.2
1249.3
1258.4
1346.3

172.5
173.6
174.9
176.2
188.5

1366.0
1311.1
1346.3

162.8

1232.2

145.7

126.7

107.6

1240.2

1249.3

1258.4

E
midspan

Effective area between the two curves

=
0.5*(162.8+145.7)*1.74+0.5*( 145.7+126.7)*1.63+0.5*(126.7+107.6)*1.63
+0.5*(107.6)*(14.09-1.74-1.63-1.63)

1170.0

Hence slip
=
1170.0

N/mm

1000
195000

6.00

mm

Area under the stress diagram

0.5*(1395+1386)*1.74+0.5*( 1386+1375.9)*1.63+0.5*(1375.9+1366)*1.63+0.5*(1366+1346.3)*3.26)
=
=

11319.12

898/S

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DATE

SHEET

NOTE No.
PROJECT:
SUBJECT:

Metrolink Express for Gandhinagar and Ahmedabad (MEGA)

East west Corridor (reach 2)
Preliminary Design note for elevated Metro rail station structures

Average stress
=
11319.12
8.255

1371.2

N/mm2

Elongation
=
11319.1

1000
195000

58.0

Stress at different points

At 0.0 L
At 0.1 L
At 0.2 L
At 0.3 L
At 0.5 L

=
=
=
=
=

1232.2
1240.2
1249.3
1258.4
1346.3

N/mm2

=
=
=
=
=

Cable
No.

Reference Cable force

point
before slip

KN

Stress in
cable

N/mm2

12 Aug 16

mm

172.5
173.6
174.9
176.2
188.5

A
B
C
D
E

1395.0

195.3
193.9
192.3
190.7
187.6

1384.9

N/mm2

N/mm2

1222.6

1395.0
1384.9
1373.6
1362.4
1340.1

1373.6

13.270
>
8.255

1222.6
1231.5
1241.6
1251.9
1340.1

1306.0

1362.4

153.5

132.0

110.5

1231.5

1241.6

1251.9

1340.1

E
midspan

Effective area between the two curves

=
0.5*(172.4+153.5)*1.74+0.5*( 153.5+132)*1.63+0.5*(132+110.5)*1.63
+0.5*(110.5*(13.27-1.63-1.63-1.74)

1170.1

N/mm

PRA

ASK

at each end

KN / strand

KN
per strand

1306.0
172.4

CHKD

Slip travel Cable stress Cable stress Cable force

length
at zero slip
after slip
after slip

per strand

BY

171.2
172.4
173.8
175.3
187.6

898/S

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DATE

SHEET

NOTE No.
PROJECT:
SUBJECT:

Metrolink Express for Gandhinagar and Ahmedabad (MEGA)

East west Corridor (reach 2)
Preliminary Design note for elevated Metro rail station structures

Hence slip
=
1170.1

1000
195000

6.00

12 Aug 16
BY

CHKD

PRA

ASK

mm

Area under the stress diagram

=
0.5*(1395+1384.9)*1.74+0.5*( 1384.9+1373.6)*1.63+0.5*(1373.6+1362.4)*1.63+0.5*(1362.4+1340.1)*3.26)
=

11294.71

Average stress
=
11294.71
8.255

1368.2

N/mm2

Elongation
=
11294.7

1000
195000

57.9

At 0.0 L
At 0.1 L
At 0.2 L
At 0.3 L
At 0.5 L

=
=
=
=
=

1222.6
1231.5
1241.6
1251.9
1340.1

N/mm2

=
=
=
=
=

4.2.1

mm

171.2
172.4
173.8
175.3
187.6

at each end

KN / strand

Average Cable force along Girder per strand after Wobble , Friction and slip Losses
G1 / G5
G2 / G3

0.0L
.1L
.2L
.3L
.5L
Force/ strand ave say

174.5
175.7
176.7
177.7
185.6
178.04

#REF!
#REF!
#REF!
#REF!
#REF!
#REF!

Notional size of member in mm ( h )

=
=

2 Ac
u
Area of concrete
perimeter in contact with atmosphere in mm
1023000
3670

898/S

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DATE

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NOTE No.
PROJECT:
SUBJECT:

Metrolink Express for Gandhinagar and Ahmedabad (MEGA)

East west Corridor (reach 2)
Preliminary Design note for elevated Metro rail station structures
=

12 Aug 16
BY

CHKD

PRA

ASK

278.75

ESTIMATE OF LOSSES
STRESSING SCHEDULE AND SEQUENCE
For losses consider Girder G1 /G5 which is critical
Cable No 3,4
30
Concrete M
STAGE I:

32.00

Ec =

33000

Ec =
Days

35000

age minm 7 days

STAGE II :
DECK SLAB

Force/ strand

Cables 1,2&5,6

M 40
Ec = 33000

ave say

Concrete M

N/mm2

178.04 kn

Es =

(178.04*1000/140/1860)

50
28

195000

n/mm2

(0.75*1860)

0.6837 fp

fs =

stage I cables will be

1395

n/mm2

30

SECTION Properties GIRDER ALONE

Ag =
0.512
Ztg = 0.1311
SECTION Properties with DECK
Ag+s =
1.148
Ztg g+s = 1.1329
Zts g+s = 0.4806

at mid span
Zbg =
I=
Zbg g+s =
I=

0.1185
0.072
0.206
0.200

yb= 0.604

SECTION Properties GIRDER at support

Ag =
0.667
Ztg =
0.141
SECTION Properties with DECK
Ag+s =
1.303
Ztg g+s =
1.017
Zts g+s =
0.490

Zbg =
I=
Zbg g+s =
I=

0.129
0.078
0.244
0.227

yb= 0.600

STAGE I LOSSES

Elastic Shortening
Stress at level of cable
Midspan :
= 185.6*30

0.5115

185.6*30*0.4101*0.4101
0.072

21444.4 kn/m2

174.5*30

Support :
+

0.6665

7863.3

174.5*30*0.0908*-0.012
0.0775

kn/m2

yb= 0.973

yb= 0.927

440*0.4101
0.071560094

898/S

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NOTE No.
PROJECT:
SUBJECT:

Metrolink Express for Gandhinagar and Ahmedabad (MEGA)

East west Corridor (reach 2)
Preliminary Design note for elevated Metro rail station structures

Ave stress along cable =

14214.27 kn/m2

Elastic Shortening loss =

(14214.3*
195000
stress
Es
39896.86 kn/m2 =

12 Aug 16
BY

CHKD

PRA

ASK

Considering a factor of 0.97 for losses during period

(Ref. IRC18 cl. 11.1)

II

Creep Loss 7d to 28d

Ave stress along cable=

Creep co- efficient

where

33000)/2
Ec
ave
39.90 n/mm2

14214.3 kn/m2

cc ( t )
ci ( t )

cc ( t )

Creep strain at time t > t0

ci ( t )

initial strain at loading

Development of creep with time may be taken as

( t , to )

( t , to )

( t , to ) x ( , t )
0.3
H +

RH

=
=

t - to
(t -t0)

1.5 ( 1 + ( 1.2 * Rh )18

R0

x h0

+ 250
for fcm <

Relative humidity expressed as percentage

50
%
100
%

Rho

h0

278.75

668.16

age of concrete in days at time considered =

t0

age of concrete in days at time of loading =

t- t0

( 25550, 7 )

=
=

< 1500
45

25543

<

1500

days

((25543)/(625.8+25543))^0.3
0.99228

25550
days
7

898/S

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DATE

SHEET

NOTE No.
PROJECT:
SUBJECT:

Metrolink Express for Gandhinagar and Ahmedabad (MEGA)

East west Corridor (reach 2)
Preliminary Design note for elevated Metro rail station structures

12 Aug 16
BY

CHKD

PRA

ASK

(25543 , 7 )
Age at loading to ( Days

7
For notional size

278.75

=
=

(25550, 7 )

initial strain

RH

Notional Size
150
600
3.45
2.85
3.28
3.32*0.99276
3.25

14214.27

0.000431

=
=
=

h0

278.75

668.16

=
=

t- t0

<

age of concrete in days at time considered =

25522

days

((25543)/(625.8+25543))^0.3
0.992277

(25543 , 28 )
Age at loading to ( Days

28
278.75

=
=

(25550,28 )

1500

age of concrete in days at time of loading =

( 25550, 7 ) =

For notional size

/1000

Relative humidity expressed as percentage

50
%
100
%

Rho

t0

/33000

Notional Size
150
600
2.65
2.2
2.52
2.55*0.99276
2.50

25550
days
28
days

898/S

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SHEET

NOTE No.
PROJECT:
SUBJECT:

Metrolink Express for Gandhinagar and Ahmedabad (MEGA)

East west Corridor (reach 2)
Preliminary Design note for elevated Metro rail station structures

creep strain loss = (

=
Stress loss =
=
III

3.25
3.24E-04
63.101
n/mm2
0.000
n/mm2

2.50 ) *

-For G2/G3

Shrinkage Strain =

Ca

CS

CS

Total shrinkage strain

cd

Drying shrinkage strain

Ca

Autogenous shrinkage strain

Grade of concrete
Autogenenous Shrinkage
Strain

Ca

Ca

Ca

cd

=
h0
100
200
300
>300

cd

M35

M45

45

65

75.0

1.00E-06

7.50E-05
cd ,
Kh
1
0.85
0.75
0.7

kh

Kh
=
0.700
cd , = depending on grade and relative Humidity
fck
25
50
75
95
cd , =
cd , =
cd

420

Relative humidity ( %)

535
420
330
260
x

1.00E-06

0.700

4.20E-04
4.20E-04

12 Aug 16
BY

CHKD

PRA

ASK

0.000431

898/S

R
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DATE

SHEET

NOTE No.
PROJECT:
SUBJECT:

Metrolink Express for Gandhinagar and Ahmedabad (MEGA)

East west Corridor (reach 2)
Preliminary Design note for elevated Metro rail station structures

12 Aug 16
BY

CHKD

PRA

ASK

2.94E-04

Development of autogenous shrinkage with time can be taken as

Ca ( t )
as (t)

ca

as (t) x

1 xp (-0.2 * sqrt( t))

=
Day
7
28
60
90

ca

as (t)
4.10E-01

7.50E-05

6.52E-01

7.50E-05

7.87E-01

7.50E-05

8.49E-01

7.50E-05

Ca
3.07E-05
4.89E-05
5.90E-05
6.37E-05

Development of drying Shrinkage

ds ( t , ts ) x Kh x cd

cd (t) =

ds

( t , ts ) =

(
(

t - ts)

t - ts)
0.04

ho3

age of concrete in days at time of considered ie 7th

ts

Age of concrete in days at beginning of drying shrinkage . Ie oth day .

ds ( 28, 14 )

6.99E-02

cd (28) =

0.06995

cd (28) =

1.44E-05

Stress loss =

0.70000

Ca

CS
3.07E-05
6.33E-05

Days

cd

7
28

0.00E+00

3.07E-05

1.44E-05

4.89E-05

6.33E-05

3.25E-05
6.3
n/mm2

3.07E-05

day

28

0.00029

14

898/S

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NOTE No.
PROJECT:
SUBJECT:

Metrolink Express for Gandhinagar and Ahmedabad (MEGA)

East west Corridor (reach 2)
Preliminary Design note for elevated Metro rail station structures

n/mm2=
109.34
For others girder

TOTAL LOSSES STAGE I

STAGE II LOSSES

Creep Loss 28d to 60d

CHKD

PRA

ASK

kn
kn

(14214.3+0)
st I loss

=
=

where

297.26
26.65

BY

28d to 60d

Ave stress along CG of cable =

Creep co- efficient

12 Aug 16

14214
0

st II loss

G1 and G5
G1 and G5

kn/m2
kn/m3

cc ( t )
ci ( t )

cc ( t )

Creep strain at time t > t0

ci ( t )

initial strain at loading

Development of creep with time may be taken as

RH

=
=

Relative humidity expressed as percentage

50
%
100
%

Rho

h0

278.75

668.16

age of concrete in days at time considered =

t0

age of concrete in days at time of loading =

t- t0

25490

(25550 , 60)

0.99227

(25550, 60 )

2.3069

<

days

1500
25550
days
60
days

898/S

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NOTE No.
PROJECT:
SUBJECT:

Metrolink Express for Gandhinagar and Ahmedabad (MEGA)

East west Corridor (reach 2)
Preliminary Design note for elevated Metro rail station structures

(25550 , 60 )
initial strain

BY

CHKD

PRA

ASK

2.29
0.000406

creep strain loss = (

=
=
II

12 Aug 16

2.50E+00
8.64E-05
8.64E-05

2.29 ) *

0.000406

-For G1/G5

on conservative side

-For G2/G3

Shrinkage Strain =
cd
=
t
=

age of concrete in days at time of considered ie 28th

ts

Age of concrete in days at beginning of drying shrinkage . Ie oth day .

ds

( 28, 14 ) =

(28.0 -

14.0)

(28.0 -

14.0) +

=
=

0.07

cd (28) =
cd (28) =

1.44E-05

0.07

day

28
14

0.04* sqrt (2503)

0.70

0.000294

ds ( 60,14 )

t
ds ( 60, 0 )

=
=

cd (60 , 0)

0.20

cd (60 , 0)

4.08E-05

Age of concrete in days at time considered ie

60
Day

0.20
x

0.70

Days

cd

Ca

CS

28
60

1.44E-05

4.89E-05

4.08E-05

5.90E-05

6.33E-05
9.98E-05

CS =
Total strain loss =

9.98E-05

6.33E-05

1.23E-04

Creep+shr Loss =

TOTAL LOSSES STAGE II

100.6 kn

101 kn

0.00029

3.65E-05

898/S

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NOTE No.
PROJECT:
SUBJECT:

Metrolink Express for Gandhinagar and Ahmedabad (MEGA)

East west Corridor (reach 2)
Preliminary Design note for elevated Metro rail station structures

STAGE III LOSSES

Creep Loss

12 Aug 16
BY

CHKD

PRA

ASK

60d to 90d

During this period deck will be present throughout.

Stress level in cable
MIDSPAN :
=

P/As

=
=

9664.05
2516

Kn/m2

Pe / Zs

Md/Zs

11618.29

4470.21

Pe / Zs

Md/Zs

SUPPORT
=
=
=

P/As

7416.59 -

525.42 +

11017

Kn/m2

6767
Creep co- efficient

Kn/m2

Ave Stress=

where

4126.24

Considering a factor of 0.98 for losses during period

cc ( t )
ci ( t )

cc ( t )

Creep strain at time t > t0

ci ( t )

initial strain at loading

RH

=
=

Relative humidity expressed as percentage

50
%
100
%

Rho

h0

278.75

668.16

age of concrete in days at time considered =

t0

age of concrete in days at time of loading =

<

1500

25550
days
90
days

898/S

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NOTE No.
PROJECT:
SUBJECT:

Metrolink Express for Gandhinagar and Ahmedabad (MEGA)

East west Corridor (reach 2)
Preliminary Design note for elevated Metro rail station structures

t- t0

25460

( 25550 , 90 )

0.9923

(25550 , 90 )

2.00

(90 , 60 ) =

1.98

initial strain

II

2.29E+00
5.89E-05

1.98 ) *

Ca

cd

CS

Total shrinkage strain

cd

Drying shrinkage strain

Ca

Autogenous shrinkage strain

Ca

75.0

Ca
cd
Kh

=
=
=

7.50E-05
cd ,
0.771

1.00E-06

kh

cd , = depending on grade and relative Humidity

fck
25
50
75
95

cd , =
cd , =
cd

650

Relative humidity ( %)

535
420
330
260

1.00E-06

0.771

6.50E-04
6.50E-04

CHKD

PRA

ASK

days

Shrinkage Strain =
CS

BY

0.000193

creep strain loss = (

=

12 Aug 16

0.0002

898/S

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NOTE No.
PROJECT:
SUBJECT:

Metrolink Express for Gandhinagar and Ahmedabad (MEGA)

East west Corridor (reach 2)
Preliminary Design note for elevated Metro rail station structures
=

12 Aug 16
BY

CHKD

PRA

ASK

5.01E-04

Development of autogenous shrinkage with time can be taken as

Ca

( t )

Ca( 7 )
Ca( 28 )
Ca ( 60 )
Ca( 90 )

as (t) x

ca

4.10E-01

7.50E-05

6.52E-01

7.50E-05

7.87E-01

7.50E-05

8.49E-01

7.50E-05

3.07E-05
4.89E-05
5.90E-05
6.37E-05

Development of drying Shrinkage

age of concrete in days at time of considered ie 60th

ts

Age of concrete in days at beginning of drying shrinkage . Ie 14th day .

ds

( 60, 0 ) =

cd (60) =

(60.0 -

14.0)

(60.0 -

14.0) +

1.98E-01

1.98E-01

cd (60) = =
4.08E-05
age of concrete in days at time of considered ie 90th
ds ( 90, 0 )

2.90E-01

cd (90) =

2.90E-01

cd (90) =

5.97E-05

Shrinkage strain loss

Total strain loss

day

7.00E-01

cd

Ca

CS

60
90

4.08E-05

3.07E-05

5.97E-05

4.89E-05

7.15E-05
1.09E-04

1.09E-04

3.70E-05
0.000096

90

Days

60

0.04* sqrt (ho3)

7.00E-01

day

7.15E-05

2.94E-04

days

2.94E-04

14

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NOTE No.
PROJECT:
SUBJECT:

Metrolink Express for Gandhinagar and Ahmedabad (MEGA)

East west Corridor (reach 2)
Preliminary Design note for elevated Metro rail station structures

Loss Creep+Shrinkage =

STAGE IV LOSSES

Creep Loss

BY

CHKD

PRA

ASK

79 kn
=

TOTAL LOSSES STAGE III

12 Aug 16

79 kn

90d to

During this period sidl will be present throughout.

Stress level in cable
MIDSPAN :

P/As

=
=

9664.05 -

SUPPORT
=
=
=
Ave Stress=

2516

Pe / Zs
11618.29 +

Pe / Zs

7416.59 -

Kn/m2

6767

Kn/m2

cc ( t )
ci ( t )

(25550 ,90 )

1.98

0.000193

4811.21

Md/Zs

+
4126.24 +

1.98E+00

0) *

0.0003836

Shrinkage Strain =

Ca

Ml/Zc

75.0

Ml/Zc
4251.64

Considering a factor of 0.94 for losses during period

creep strain loss =

Creep co- efficient

4470.21 +

525.42 +

11017

creep strain loss = (

Md/Zs

Kn/m2

P/As

initial strain

II

1.00E-06

0.0002

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NOTE No.
PROJECT:
SUBJECT:

Metrolink Express for Gandhinagar and Ahmedabad (MEGA)

East west Corridor (reach 2)
Preliminary Design note for elevated Metro rail station structures

Ca

cd

Kh

12 Aug 16
BY

CHKD

PRA

ASK

7.50E-05
cd ,

kh

0.771

cd , = depending on grade and relative Humidity

fck
25
50
75
95
cd , =

535
420
330
260

420

cd , =
cd

Relative humidity ( %)

1.00E-06

0.771

4.20E-04
4.20E-04

3.24E-04

Development of autogenous shrinkage with time can be taken as

Ca

( t )

Ca( 7 )
Ca( 28 )
Ca ( 60 )
Ca( 90 )

as (t) x

ca

4.10E-01

7.50E-05

6.52E-01

7.50E-05

7.87E-01

7.50E-05

8.49E-01

7.50E-05

3.07E-05
4.89E-05
5.90E-05
6.37E-05

Development of drying Shrinkage

ds

age of concrete in days at time of considered ie 90th

ts

Age of concrete in days at beginning of drying shrinkage . Ie oth day .

( 90, 0 )

=
=
cd (90) = =

(90.0 -

14.0)

(90.0 -

14.0) +

day

90

0.04* sqrt (ho3)

2.90E-01

cd (90) =

2.90E-01

7.00E-01

5.97E-05

Days

cd

Ca

CS

90

5.97E-05

3.07E-05

9.04E-05

2.94E-04

14

898/S

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NOTE No.
PROJECT:
SUBJECT:

Metrolink Express for Gandhinagar and Ahmedabad (MEGA)

East west Corridor (reach 2)
Preliminary Design note for elevated Metro rail station structures

=
Total strain loss =

9.04E-05
0.00009
0.000474

Loss Creep+Shrinkage =

III

12 Aug 16
BY

CHKD

PRA

ASK

0.00E+00

388 kn

Total Relaxation Loss =

2.415 * 3%
Relaxation loss values shall be taken 3 times the 1000hour value .

for girder stage I+II

TOTAL LOSSES STAGE III

TOTAL LOSSES
=
TOTAL APPLIED PRESTRESS =
% LOSS
=

420 kn

808 kn

1577
5859
26.9

KN
KN
%