The compound shaft consists of a solid aluminum segment (1) and a hollow brass segment (2) that are connected at flange B andsecurely attached to rigid supports at A and C. Aluminum segment (1) has a diameter of 0.55 in., a length of L₁ = 40 in., a shear modulusof 3800 ksi, and an allowable shear stress of 5.8 ksi. Brass segment (2) has an outside diameter of 0.45 in., a wall thickness of 0.15 in., alength of L₂ = 30 in., a shear modulus of 6400 ksi, and an allowable shear stress of 8.2 ksi. Determine:(a) the allowable torque Te that can be applied to the compound shaft at flange B.(b) the magnitudes of the internal torques in segments (1) and (2).(c) the rotation angle of flange B (relative to support A) that is produced by the allowable torque TB.L₁L2TB(1)Answer:(a) TB=(b) T₁ =T2=(c) OB=Blb-ftlb-ftlb-ftrad(2)C

Torque: - It is a type of force induced in an object which will cause rotation of an object about an…

the allowable torque Te that can be applied to the compound shaft at flange B. the magnitudes of the internal torques in segments (1) and (2). the rotation angle of flange B (relative to support A) that is produced by the allowable torque TB.

the allowable torque Te that can be applied to the compound shaft at flange B. the magnitudes of the internal torques in segments (1) and (2). the rotation angle of flange B (relative to support A) that is produced by the allowable torque TB.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

The compound shaft consists of a solid aluminum segment (1) and a hollow brass segment (2) that are connected at flange B and
securely attached to rigid supports at A and C. Aluminum segment (1) has a diameter of 0.55 in., a length of L₁ = 40 in., a shear modulus
of 3800 ksi, and an allowable shear stress of 5.8 ksi. Brass segment (2) has an outside diameter of 0.45 in., a wall thickness of 0.15 in., a
length of L₂ = 30 in., a shear modulus of 6400 ksi, and an allowable shear stress of 8.2 ksi. Determine:
(a) the allowable torque Te that can be applied to the compound shaft at flange B.
(b) the magnitudes of the internal torques in segments (1) and (2).
(c) the rotation angle of flange B (relative to support A) that is produced by the allowable torque TB.
L₁
L2
TB
(1)
Answer:
(a) TB=
(b) T₁ =
T2=
(c) OB=
B
lb-ft
lb-ft
lb-ft
rad
(2)
C

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