A composite beam is made of two brass [E = 98 GPa] plates bonded to an aluminum [E = 60 GPa] bar, as shown. The beam is subjected to a bending moment of 2270 N-m acting about the z axis. Assume b=44 mm, d₁=25 mm, d₂-8 mm. Determine: (a) the maximum bending stresses Obr, Gal in the brass plates and the aluminum bar. (b) the stress in the brass brj at the joints where the two materials are bonded together. Z Brass (2) Aluminum (1) Brass (2) Answers: (a) Obr (b) 6 brj = i i b d₂ d₁ d₂ MPa, Gal = i MPa. MPa.

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 6.2.10P: The cross section of a sandwich beam consisting of fiberglass faces and a lightweight plastic core...
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A composite beam is made of two brass [E = 98 GPa] plates bonded to an aluminum [E = 60 GPa] bar, as shown. The beam is subjected
to a bending moment of 2270 N-m acting about the z axis. Assume b=44 mm, d₁=25 mm, d₂-8 mm. Determine:
(a) the maximum bending stresses Obr, Gal in the brass plates and the aluminum bar.
(b) the stress in the brass brj at the joints where the two materials are bonded together.
Z
Brass (2)
Aluminum (1)
Brass (2)
Answers:
(a) Obr =
(b) Obrj
=
i
i
b
d₂
d₁
d₂
MPa, Gal =
MPa.
i
MPa.
Transcribed Image Text:A composite beam is made of two brass [E = 98 GPa] plates bonded to an aluminum [E = 60 GPa] bar, as shown. The beam is subjected to a bending moment of 2270 N-m acting about the z axis. Assume b=44 mm, d₁=25 mm, d₂-8 mm. Determine: (a) the maximum bending stresses Obr, Gal in the brass plates and the aluminum bar. (b) the stress in the brass brj at the joints where the two materials are bonded together. Z Brass (2) Aluminum (1) Brass (2) Answers: (a) Obr = (b) Obrj = i i b d₂ d₁ d₂ MPa, Gal = MPa. i MPa.
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