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GATE Civil Engineering (CE) 2018 Shift 2 Solved Paper
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© examsnet.com
Question : 52
Total: 65
The total horizontal and vertical stresses at a point
X
in a saturated sandy medium are 170
k
P
a
and
300
k
P
a
, respectively. The static pore-water pressure is
30
k
P
a
. At failure, the excess porewater pressure is measured to be
94.50
k
P
a
, and the shear stresses on the vertical and horizontal planes passing through the point
X
are zero. Effective cohesion is 0 kPa and effective angle of internal friction is
36
∘
. The shear strength (in
k
P
a
, up to two decimal places) at point
X
is
Your Answer:
Validate
Solution:
∵
σ
n
=
300
+
170
2
+
300
−
170
2
cos
2
α
α
=
45
∘
+
36
∘
2
=
63
∘
⇒
σ
n
=
196.79
σ
n
′
=
σ
n
−
u
=
196.79
−
(
30
+
94.5
)
σ
n
′
=
72.29
N
/
m
m
2
⇒
τ
=
C
+
σ
n
′
tan
φ
=
72.29
tan
36
=
52.52
N
/
m
m
2
© examsnet.com
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