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PROBLEM (10.12) Calculate the deflection at the center of the beam shown in Fig. P10.10 if the
beam is a solid rod of diameter d.
Given:
d = 2 in., P = 80 lb,
L = 3 ft,
E = 10 x 106 psi.
SOLUTION
See solution of Prob.10.10:
P
(24 Lx 2 − 42 L2 x + 19 L3 )
v1 =
48 EI
For x=L/2:
1 PL3 1
80(3 ×12)3
= 39.6 ×10−3 in.
vC =
=
12 EI 12 10 ×106 (π × 24 64)
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