________________________________________________________________________
PROBLEM (7.6) A brass bar having a modulus of elasticity E and semicircular cross
section of radius r (Fig. P7.5) is bent over a cylinder of diameter D. What is the bending
moment Mz in the bar?
Given: E = 15 x 106 psi, r = 1 in., D = 36 ft
SOLUTION
Refer to figure in
Solution of Prob. 7.5.
18 12 0.424 216.424 .in
ρ
=
×+ =
M
z
C
6
max 15 10 (0.576) 39.92
216.424
Ec ksi
σρ
×
== =
Thus,
3
max 39.92 10 (0.11)
0.576
zI
Mc
σ
×
== 7.62 .kip in
=
⋅
ρ
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