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sm10 122

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PROBLEM (10.122) A simply supported beam carries a concentrated load P as shown in Fig.
P10.116. Calculate the deflection at point D located L/4 from support A.
I = 20 in.4
Given: P = 4 kips,
L = 9 ft,
E = 10 x 106 psi,
SOLUTION
See solution of Prob.10.116.
2PL/9EI
M/EI
PL/6EI
A3
A
D
x
L/4
L/3
1
1L
)
vD = − t BA + A3 (
4
34
5PL3 1 PL L L
71 PL3
=−
+
=
↓
81× 4 2 6 EI 4 12 5184 EI
Substituting the given data:
71(4 × 103 )(9 × 12)3
vD =
= 0.345 in. ↓
5184(10 × 106 )(20)
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