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Byju's Answer
Standard XII
Physics
Measuring Size
The mid-span ...
Question
The mid-span deflection simply supported beam
A
B
with loading as shown in figure is given by
A
2520
E
I
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B
5276
E
I
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C
5400
E
I
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D
8613
E
I
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Solution
The correct option is
C
5400
E
I
Let us apply unit load method:
Segment
Origin
Range of
x
E
I
M
m
A
C
A
0
−
6
E
I
32.5
x
+
150
x
2
B
C
B
0
−
6
E
I
147.5
x
−
30
x
2
2
x
2
Δ
C
=
∫
l
0
M
m
d
x
E
I
⇒
Δ
C
=
∫
6
0
(
32.5
x
+
150
)
(
x
2
)
d
x
E
I
+
∫
6
o
(
147.5
x
−
15
x
2
)
(
x
2
)
d
x
E
I
⇒
Δ
C
=
2520
E
I
+
2880
E
I
=
5400
E
I
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