An aluminum [E = 10000 ksi] bar is bonded to a steel [E = 30000 ksi] bar to form a con = 2.00 in. and height d4 = 0.625 in. The steel bar has width b = 2.00 in. and height d2 = to a bending moment of M = + 100 Ib-ft about the z axis. Determine: (a) the maximum bending stresses in the aluminum and steel bars. (b) the stress in the two materials at the joint where they are bonded together.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Part 2
Calculate the cross-sectional area A1 of the aluminum bar, and the cross-sectional area A2trans of transformed steel bar.
Answers:
A1 =
i
in.?.
A2 trans
in.?.
i
Transcribed Image Text:Part 2 Calculate the cross-sectional area A1 of the aluminum bar, and the cross-sectional area A2trans of transformed steel bar. Answers: A1 = i in.?. A2 trans in.?. i
Part 1
An aluminum [E = 10000 ksi] bar is bonded to a steel [E = 30000 ksi] bar to form a composite beam. The aluminum bar has widthb
= 2.00 in. and height d = 0.625 in. The steel bar has width b = 2.00 in. and height d2 = 0.750 in. The composite beam is subjected
to a bending moment of M = + 10O Ib-ft about the z axis.
Determine:
(a) the maximum bending stresses in the aluminum and steel bars.
(b) the stress in the two materials at the joint where they are bonded together.
y
M
Steel (2)
Steel
d2
Aluminum
d
Aluminum (1)
b
Transform the steel bar (2) into an equivalent amount of aluminum (1). Calculate the transformed width for the steel bar b2 trans-
Answer: b2 trans =
i
in.
Transcribed Image Text:Part 1 An aluminum [E = 10000 ksi] bar is bonded to a steel [E = 30000 ksi] bar to form a composite beam. The aluminum bar has widthb = 2.00 in. and height d = 0.625 in. The steel bar has width b = 2.00 in. and height d2 = 0.750 in. The composite beam is subjected to a bending moment of M = + 10O Ib-ft about the z axis. Determine: (a) the maximum bending stresses in the aluminum and steel bars. (b) the stress in the two materials at the joint where they are bonded together. y M Steel (2) Steel d2 Aluminum d Aluminum (1) b Transform the steel bar (2) into an equivalent amount of aluminum (1). Calculate the transformed width for the steel bar b2 trans- Answer: b2 trans = i in.
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