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GATE-2015 Civil Engineering Answer Key 28-B/7-2nd Floor, Jia Sarai, Near IIT, New Delhi-16, E-mail: [email protected] Ph.: 011-26537570, 09810958290 Forenoon Session 8th Feb'2015

CE fornoon - IES AcademykN All dimensesion are in mm p. GATE-2015 8th Feb'2015 Civil Engineering 28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016 [email protected]

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Page 1: CE fornoon - IES AcademykN All dimensesion are in mm p. GATE-2015 8th Feb'2015 Civil Engineering 28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016 iesacademy@yahoo.com

GATE-2015Civil Engineering

Answer Key

28-B/7-2nd Floor, Jia Sarai, Near IIT, New Delhi-16, E-mail: [email protected]

Ph.: 011-26537570, 09810958290

Forenoon Session

8th Feb'2015

Page 2: CE fornoon - IES AcademykN All dimensesion are in mm p. GATE-2015 8th Feb'2015 Civil Engineering 28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016 iesacademy@yahoo.com

GATE-2015 8th Feb'2015 Civil Engineering

28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

1

Page 3: CE fornoon - IES AcademykN All dimensesion are in mm p. GATE-2015 8th Feb'2015 Civil Engineering 28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016 iesacademy@yahoo.com

GATE-2015 8th Feb'2015 Civil Engineering

28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

2

Page 4: CE fornoon - IES AcademykN All dimensesion are in mm p. GATE-2015 8th Feb'2015 Civil Engineering 28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016 iesacademy@yahoo.com

GATE-2015 8th Feb'2015 Civil Engineering

28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

3

Page 5: CE fornoon - IES AcademykN All dimensesion are in mm p. GATE-2015 8th Feb'2015 Civil Engineering 28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016 iesacademy@yahoo.com

GATE-2015 8th Feb'2015 Civil Engineering

28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

4

2

1

x2

x

x dxò

g

bd

1

k

fsæöæöç÷ç÷èøtèø

Page 6: CE fornoon - IES AcademykN All dimensesion are in mm p. GATE-2015 8th Feb'2015 Civil Engineering 28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016 iesacademy@yahoo.com

GATE-2015 8th Feb'2015 Civil Engineering

28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

5

M3m 1m 1m 3m

E1 E1 E1

Internal hing

q If X 0

p(x,q) 1 q If X 1

0 otherwise

=ìï

=- =íïî

r

=-

=-

=

=

Page 7: CE fornoon - IES AcademykN All dimensesion are in mm p. GATE-2015 8th Feb'2015 Civil Engineering 28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016 iesacademy@yahoo.com

GATE-2015 8th Feb'2015 Civil Engineering

28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

6

ns

45°

ns

MPa

MPa

MPa

MPa

Page 8: CE fornoon - IES AcademykN All dimensesion are in mm p. GATE-2015 8th Feb'2015 Civil Engineering 28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016 iesacademy@yahoo.com

GATE-2015 8th Feb'2015 Civil Engineering

28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

7

Component Composition(%weight) 3Density(Kg / m )

XY

1C

2C1r

2r

r

1 2

1 2

100(a)

c cæ ö+ç ÷rrè ø

1 2

1 2

(b) 100c c

æ örr+ç ÷è ø

1 1 2 2(c) (c c )r+r1 2

1 1 2 2

(d) 100c c

æ örrç ÷r+rè ø

Page 9: CE fornoon - IES AcademykN All dimensesion are in mm p. GATE-2015 8th Feb'2015 Civil Engineering 28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016 iesacademy@yahoo.com

GATE-2015 8th Feb'2015 Civil Engineering

28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

8

P Px

x

L LL / 2

Page 10: CE fornoon - IES AcademykN All dimensesion are in mm p. GATE-2015 8th Feb'2015 Civil Engineering 28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016 iesacademy@yahoo.com

GATE-2015 8th Feb'2015 Civil Engineering

28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

9

Page 11: CE fornoon - IES AcademykN All dimensesion are in mm p. GATE-2015 8th Feb'2015 Civil Engineering 28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016 iesacademy@yahoo.com

GATE-2015 8th Feb'2015 Civil Engineering

28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

10

LA, E, I

2

3

1

Note :1, 2 and 3 are

the d.o.f

Page 12: CE fornoon - IES AcademykN All dimensesion are in mm p. GATE-2015 8th Feb'2015 Civil Engineering 28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016 iesacademy@yahoo.com

GATE-2015 8th Feb'2015 Civil Engineering

28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

11

2m

6m

10m

Silty S tan d

Stan d

Normally

Consolidated

day

3Bulk unit weight 15kN / m=

3Stan dred unit weight 18kN / m=

3

2

Saturated unit weight 18kN / m

Compression index 0.3

Initial void ratio 0.7

Coefficient of consolidation 0.004 cm / s

=

=

=

=

GL

GWT

7575

600

75 75

kN

All dim ensesion are in mm

p

Page 13: CE fornoon - IES AcademykN All dimensesion are in mm p. GATE-2015 8th Feb'2015 Civil Engineering 28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016 iesacademy@yahoo.com

GATE-2015 8th Feb'2015 Civil Engineering

28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

12

2m

1.5m

P 50 kN=p

1d 20mm=

2d 10mm=

y yx(ydx xdy)cos y(xdy ydx)sin

x x+ =-

x ycos c

y x=

x ysin c

y x=

yxy cos c

x=

yxysin c

x=

LEl

El 32K 3Ell(2L )=

Page 14: CE fornoon - IES AcademykN All dimensesion are in mm p. GATE-2015 8th Feb'2015 Civil Engineering 28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016 iesacademy@yahoo.com

GATE-2015 8th Feb'2015 Civil Engineering

28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

13

x Y Z

1

1 1 1W W W

æ ö++ç ÷è ø

x Y Z

1 1 1

W W W

æ ö++ç ÷è ø

x Y ZW W W++2 2 2x Y ZW W W++

Site Xe 0.6=

140 km

100 km80 km

Construction

Site

Site Ze 0.64= e 0.7=

Site Y

Page 15: CE fornoon - IES AcademykN All dimensesion are in mm p. GATE-2015 8th Feb'2015 Civil Engineering 28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016 iesacademy@yahoo.com

GATE-2015 8th Feb'2015 Civil Engineering

28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

14

2

10

Ufor U 60%

T 4 100

1.781 0.933log (100 U) for U 60%u

ìpæö£ïç÷=èøí

ï- - >î

Page 16: CE fornoon - IES AcademykN All dimensesion are in mm p. GATE-2015 8th Feb'2015 Civil Engineering 28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016 iesacademy@yahoo.com

GATE-2015 8th Feb'2015 Civil Engineering

28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

15

()i j 2k+-

300mm

200mm

M25

4 12

Fe 415

-fd

ux u0.42x

xuck0.36 f

u maxx 0.48 d

for Fe 415

=

( )t0

de

dt-bu

=a-bn

( )d

dt

u=a-bn

Page 17: CE fornoon - IES AcademykN All dimensesion are in mm p. GATE-2015 8th Feb'2015 Civil Engineering 28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016 iesacademy@yahoo.com

GATE-2015 8th Feb'2015 Civil Engineering

28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

16

m

uPm1 m1

m2

p3 MpM

3 2 2

4 4 6

2 3 5

-é ùê ú-ê úê ú-ë û

Page 18: CE fornoon - IES AcademykN All dimensesion are in mm p. GATE-2015 8th Feb'2015 Civil Engineering 28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016 iesacademy@yahoo.com

GATE-2015 8th Feb'2015 Civil Engineering

28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

17

Page 19: CE fornoon - IES AcademykN All dimensesion are in mm p. GATE-2015 8th Feb'2015 Civil Engineering 28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016 iesacademy@yahoo.com

GATE-2015 8th Feb'2015 Civil Engineering

28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

18

£ £

³

DFand

VD VD

m

rD

2

F VDand

VD

r

mr

D2 2

F VDand

V D

r

mr

D3 3

Fand

VDV D

m

rr

2

9f (z)

(z 1)(z 2)=

-+

9

Page 20: CE fornoon - IES AcademykN All dimensesion are in mm p. GATE-2015 8th Feb'2015 Civil Engineering 28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016 iesacademy@yahoo.com

GATE-2015 8th Feb'2015 Civil Engineering

28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

19

m

10kN

5kN

3m

3m

3m

3m

qs gF F 1.314;g==

qi iF 0.444, F 0.02.g= =

Page 21: CE fornoon - IES AcademykN All dimensesion are in mm p. GATE-2015 8th Feb'2015 Civil Engineering 28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016 iesacademy@yahoo.com

GATE-2015 8th Feb'2015 Civil Engineering

28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

20

P

30°

0.85m

2m

1m

GL

3Unit weigth 10kN / m

Cohesion 0

Friction angle 35

=

=