A composite beam is made of two brass [E = 106 GPa] plates bonded to an aluminum [E = 60 GPa] bar, as shown. The beam is subjected to a bending moment of 1720 N-m acting about the z axis. Assume b=45 mm, d₁-53 mm, d₂-13 mm. Determine: (a) the maximum bending stresses Obr, al in the brass plates and the aluminum bar. (b) the stress in the brass or at the joints where the two materials are bonded together.
A composite beam is made of two brass [E = 106 GPa] plates bonded to an aluminum [E = 60 GPa] bar, as shown. The beam is subjected to a bending moment of 1720 N-m acting about the z axis. Assume b=45 mm, d₁-53 mm, d₂-13 mm. Determine: (a) the maximum bending stresses Obr, al in the brass plates and the aluminum bar. (b) the stress in the brass or at the joints where the two materials are bonded together.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![A composite beam is made of two brass [E = 106 GPa] plates bonded to an aluminum [E = 60 GPa] bar, as shown. The beam is subjected
to a bending moment of 1720 N-m acting about the z axis. Assume b=45 mm, d₁-53 mm, d₂-13 mm. Determine:
(a) the maximum bending stresses Obr, Gal 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.
Brass (2)
Aluminum (1)
Brass (2)
b
↓
d₂
d₁
d₂](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e476474-0e1a-4624-a6da-a05ee60973cb%2F6ab137ac-63e8-4758-9da5-b5ec80eb40e3%2Fu6u4vli_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A composite beam is made of two brass [E = 106 GPa] plates bonded to an aluminum [E = 60 GPa] bar, as shown. The beam is subjected
to a bending moment of 1720 N-m acting about the z axis. Assume b=45 mm, d₁-53 mm, d₂-13 mm. Determine:
(a) the maximum bending stresses Obr, Gal 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.
Brass (2)
Aluminum (1)
Brass (2)
b
↓
d₂
d₁
d₂
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Step 1
VIEWStep 2 Basic calculation for Composite section changes to Fully Aluminum section
VIEWStep 3 Moment of inertia Calculation for Fully Aluminum section
VIEWStep 4 (a)calculation of maximum Bending stress in Aluminum and Brass
VIEWStep 5 stress Diagram with maximum stress##
VIEWStep 6 stress in brass and aluminum at joint to these two material
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