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sm10 114

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PROBLEM (10.114) Calculate the maximum slope and maximum deflection of the cantilever beam
in Fig. P10.108 for an S 6 x 12.5 shape (see Table B.9).
Given: w = 6 kips/ft, L = 8 ft, E = 30 x 106 psi.
SOLUTION
Table B.9:
I = 22.1 in.4
See solution of Prob.10.110:
w0 L3
24 EI
(6 12)(103 )(8 × 12)3
=
= 27.8 × 10−3 rad
6
24(30 × 10 )(22.1)
θ max = θ A =
Similarly,
w0 L4
↓
30 EI
(6 12)(103 )(8 × 12) 4
=
= 2.135 in. ↓
30(30 × 106 )(22.1)
vmax = v A =
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