The composite shaft shown in the figure consists of two steel pipes that are connected at flange B and securely attached to rigid walls at A and C. Steel pipe (1) has an outside diameter of 168 mm and a wall thickness of 5 mm. Steel pipe (2) has an outside diameter of 126 mm and a wall thickness of 8 mm. Both pipes are 2.4 m long and have a shear modulus of 79 GPa. If a concentrated torque of 22 kN-m is applied to flange B, determine (a) the maximum shear stress magnitudes in pipes (1) and (2). (b) the rotation angle of flange B relative to support A. L₁ TB L2

The composite shaft shown in the figure consists of two steel pipes that are connected at flange B and securely attached to rigid walls at A and C. Steel pipe (1) has an outside diameter of 168 mm and a wall thickness of 5 mm. Steel pipe (2) has an outside diameter of 126 mm and a wall thickness of 8 mm. Both pipes are 2.4 m long and have a shear modulus of 79 GPa. If a concentrated torque of 22 kN-m is applied to flange B, determine (a) the maximum shear stress magnitudes in pipes (1) and (2). (b) the rotation angle of flange B relative to support A. L₁ TB L2

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.4.5P: A hollow tube ABCDE constructed of monel metal is subjected to five torques acting in the directions...

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Question

The composite shaft shown in the figure consists of two steel pipes that are connected at
flange B and securely attached to rigid walls at A and C. Steel pipe (1) has an outside diameter
of 168 mm and a wall thickness of 5 mm. Steel pipe (2) has an outside diameter of 126 mm
and a wall thickness of 8 mm. Both pipes are 2.4 m long and have a shear modulus of 79 GPa.
If a concentrated torque of 22 kN-m is applied to flange B, determine
(a) the maximum shear stress magnitudes in pipes (1) and (2).
(b) the rotation angle of flange B relative to support A.
N
Swors:
LI
(1)
TB.
B
L2
(2)
C
X

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Step 1: Determining the given values

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Step 2: Drawing free body diagram of the flange B

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Step 3: Determining the Torque

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Step 4: Calculating maximum shear stresses and rotation angle

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