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sm12 68

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PROBLEM (12.68) Determine the deflection of free end B of the uniformly loaded cantilever beam
shown in Fig. P12.68. Apply the unit-load method.
SOLUTION
x
w
A
1 lb
x
B
L
1
M = − wx 2
2
A
L
B
m = −x
So,
vB = ∫
L
0
Mm
1
dx =
EI
2 EI
w x4
=
2 EI 4
L
0
∫
L
0
(− wx 2 )(− x)dx
wL4
=
↓
8EI
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