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sm10 124

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PROBLEM (10.124) A 4-m-long simple beam is subjected to a moment of M = 50 kN ⋅ m (see
Fig. P10.119). Determine the value of EI vD at point D located L/8 from B.
SOLUTION
See solution of Prob.10.119.
M/EI
L/4
L/8
L/24
M0/4EI
M0/8EI
D
A3
B
x
1
L
vD = − t A / B + A3 ( )
8
24
2
11 M 0 L 1 1 M 0 L L
45 M 0 L2
) +
( )( ) =
= −( −
↑
96 EI 8 2 8EI 8 24
3072 EI
Substituting the given data:
45
(50 ×103 )(4) 2 = 11.72 × 103 lb ⋅ in.3
EIvD =
3072
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