sm7 8

________________________________________________________________________
PROBLEM (7.8) An aluminum bar of rectangular cross section is acted upon by a bending
moment M about the z axis as shown in Fig. P7.8. Calculate:
(a) The radius of curvature
ρ
of the beam.
(b) The radius of curvature 1
ρ
of a transverse cross section of the beam.
Given: b = 25 mm, h = 75 mm, M = 5 kN
⋅
m, E = 72 GPa,
ν
= 0.29
SOLUTION
33
11
(25)(75)
12 12
Ibh== 34
878.91 (10 ) mm=
(a) 3
99
15(10)
0.07901
72(10 )(878.91 10 )
M
EI
ρ
−
== =
×
or
12.657 m
ρ
=
(b) Equation(7.3a)
112.657 43.645
0.29 m
ρ
ρν =− =− =−
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