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PROBLEM (12.35) A beam is supported and loaded as shown in Fig. P12.34. Using the workenergy method, determine the deflection at point C (or D) owing to bending and shear.
SOLUTION
See solution of Probs. 12.15 and 11.23:
P2a2
3P 2 a
Ub =
(a + L)
Us =
( a + L)
6 EI
5 AGL
Thus,
P2a2
3P 2 a
1
U=
(a + L) +
(a + L) = PvC
2
6 EI
5 AG
a
3
or
vC = 2 Pa(a + L)[
+
]
6 EI 5GAL
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