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GATE Civil Engineering (CE) 2020 Shift 1 Solved Paper
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© examsnet.com
Question : 37
Total: 65
A rigid, uniform, weightless, horizontal bar is connected to three vertical members
P
f
Q
and
R
as shown in the figure (not drawn to the scale). All three members have identical axial stiffness of
10
k
N
/
m
m
. The lower ends of bar
P
and
R
rest on a rigid horizontal surface. When NO load is applied, a gap of
2
m
m
exists between the lower end of the bar
Q
and the rigid horizontal surface. When a vertical load
W
is placed on the horizontal bar in the downward direction, the bar still remains horizontal and gets displaced by
5
m
m
in the vertically downward direction.
The magnitude of the load W (in kN, round off to the nearest integer), is
Your Answer:
Validate
Solution:
A
E
L
=
10
k
N
∕
m
m
w
1
+
w
2
+
w
3
=
W
from symmetry
⇒
w
1
=
w
3
δ
p
=
5
m
m
=
w
1
L
A
E
∴
W
1
=
50
k
N
=
w
3
δ
Q
=
w
2
L
A
E
∴
w
2
=
30
k
N
∴
W
=
130
k
N
© examsnet.com
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