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GATE Civil Engineering (CE) 2019 Shift 1 Solved Paper
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© examsnet.com
Question : 43
Total: 65
A
3
m
×
3
m
square precast reinforced concrete segments to be installed by pushing them through an existing railway embankment for making an underpass as shown in the figure. A reaction arrangement using precast PCC blocks placed on the ground is to be made for the jacks.
At each stage, the jacks are required to apply a force of
1875
k
N
to push the segment. The jacks will react against the rigid steel plate placed against the reaction arrangement. The footprint area of reaction arrangement on natural ground are:
c
=
17
k
P
a
;
φ
=
25
∘
and
γ
=
18
k
N
/
m
3
. Assuming that the reaction arrangement has rough interface and has the same properties that of soil, the factor of safety (round off to 1 decimal place) against shear failure is
Your Answer:
Validate
Solution:
FOS against shear failure
=
Strength
Applied load
=
(
c
+
σ
tan
φ
)
A
P
σ
=
N
A
=
4
k
N
m
2
×
37.5
m
2
×
7.5
m
37.5
m
2
=
24
×
7.5
k
N
/
m
2
⇒
F
O
S
=
(
c
+
σ
tan
φ
)
A
P
=
(
17
+
24
×
7.5
×
tan
25
∘
)
×
37.5
1875
F
O
S
=
2.0187
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