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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
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
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
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
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
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
=-
=-
=
=
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
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
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
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
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
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
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 )=
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
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
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
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
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
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
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= =
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
=
=
=°