A composite beam is made of two brass [E = 119 GPa] plates bonded to an aluminum [E = 61 GPa] bar, as shown. The beam is subjected to a bending moment of 1670 N-m acting about the z axis. Assume b=44 mm, d1=30 mm, d2=9 mm. Determine: (a) the maximum bending stresses obr, Gat in the brass plates and the aluminum bar. (b) the stress in the brass obrj at the joints where the two materials are bonded together.

Mechanics of Materials (MindTap Course List)
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ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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Chapter6: Stresses In Beams (advanced Topics)
Section: Chapter Questions
Problem 6.3.10P: The cross section of a composite beam made of aluminum and steel is shown in the figure. The moduli...
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A composite beam is made of two brass [E = 119 GPa] plates bonded to an aluminum [E = 61 GPa] bar, as shown. The beam is subjected
to a bending moment of 1670 N-m acting about the z axis. Assume b=44 mm, d=30 mm, d2=9 mm. Determine:
(a) the maximum bending stresses opr, oat in the brass plates and the aluminum bar.
(b) the stress in the brass opej at the joints where the two materials are bonded together.
Brass (2)
dz
di
Aluminum (1)
Brass (2)
dz
b
Answers:
(a) obr =
i
MPa, oal =
i
MPa.
(b) Ohri
i
MPa.
Transcribed Image Text:A composite beam is made of two brass [E = 119 GPa] plates bonded to an aluminum [E = 61 GPa] bar, as shown. The beam is subjected to a bending moment of 1670 N-m acting about the z axis. Assume b=44 mm, d=30 mm, d2=9 mm. Determine: (a) the maximum bending stresses opr, oat in the brass plates and the aluminum bar. (b) the stress in the brass opej at the joints where the two materials are bonded together. Brass (2) dz di Aluminum (1) Brass (2) dz b Answers: (a) obr = i MPa, oal = i MPa. (b) Ohri i MPa.
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