The solid shaft is made of an elastic-perfectly plastic material as shown in Figure 5. Determine the torque T needed to form an elastic core in the shaft having a radius of py=20 mm. If the shaft is 3 m long, through what angle does one end of the shaft twist with respect to the other end? When the torque is removed, determine the residual stress distribution in the shaft and the permanent angle of twist. 7 (MPa) 160 "M 0.004 80 mm Figure 5 T -y (rad)

The solid shaft is made of an elastic-perfectly plastic material as shown in Figure 5. Determine the torque T needed to form an elastic core in the shaft having a radius of py=20 mm. If the shaft is 3 m long, through what angle does one end of the shaft twist with respect to the other end? When the torque is removed, determine the residual stress distribution in the shaft and the permanent angle of twist. 7 (MPa) 160 "M 0.004 80 mm Figure 5 T -y (rad)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Torsion

In mechanical engineering, torque, torsion, and twisting moment are three of the most important concepts which have different meanings. Torque is the consequence of a moment of a force that produces an angular acceleration in a body or induces rotational kinetic energy in a body. For instance, in an automobile, the power transmission shaft is a body that is always under rotation due to the external torque acting on it, this torque is created by the engine.

Question

The solid shaft is made of an elastic-perfectly plastic material as shown in Figure 5. Determine the torque T needed
to form an elastic core in the shaft having a radius of py = 20 mm. If the shaft is 3 m long, through what angle does
one end of the shaft twist with respect to the other end? When the torque is removed, determine the residual
stress distribution in the shaft and the permanent angle of twist.
T (MPa)
160
0.004
80 mm
Figure 5
T
y (rad)

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Step 1: The torque needed to form an elastic core in the shaft:

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Step 2: Determining the angle of twist:

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Step 3: The permanent angle of twist when the torque is removed:

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Step 4: The residual stress distribution when the torque is removed:

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