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sm10 140

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PROBLEM (10.140) For the overhanging S 4 x 7.7 rolled-shape (see Table B.9) beam seen in Fig.
P10.126, calculate the slope at end C.
Given: w = 200 lb/ft, a = 3 ft,
E = 30 x 106 psi
SOLUTION
Table B.9: I = 6.08 in.4 See solution of Prob. 10.126.
wa 3
wa 3
A1 = −
A2 = −
4 EI
6 EI
θC / D = θC − θ D = A1 + A2
Thus
wa 3
5 wa 3
θC = −
(3 + 2) =
12 EI
12 EI
5 (200 12)(3 × 12)3
=
= 1.776 × 10−3 rad
12 30 × 106 (6.08)
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