(a) If the shaft is subjected to an external torque T at point b, find the angle of twist of point b with respect to point a. (b) If the shaft is subjected to an external torque T at point a, as shown in Figure 1.2, find the angle of twist of point a with respect to point b.
(a) If the shaft is subjected to an external torque T at point b, find the angle of twist of point b with respect to point a. (b) If the shaft is subjected to an external torque T at point a, as shown in Figure 1.2, find the angle of twist of point a with respect to point b.
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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Hi, can you please help me with this question?
![A long circular shaft of length L with variable cross-section is fixed onto rigid walls as shown in
Figure 1.1. The polar moment of inertia of the L/3-long segment (J₁) with a larger cross section
is three times larger than that of a 2L/3-long segment (J2) on the right. Assume the shear modulus
is constant and equal to G for the entire shaft and that strains are small and linear elastic.
a
b
L/3
L/3
L/3
Figure 1.1. Shaft with variable cross-section and external torque T.
(a) If the shaft is subjected to an external torque T at point b, find the angle of twist of point b
with respect to point a.
(b) If the shaft is subjected to an external torque T at point a, as shown in Figure 1.2, find the
angle of twist of point a with respect to point b.
T
J₂
b
L/3
L/3
L/3
Figure 1.2. Shaft with variable cross-section and external torque T.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5fe12990-e023-482e-b81f-63883b657c8e%2F86f7f742-3fd1-4405-9944-2630135c9aef%2F6b1b_processed.png&w=3840&q=75)
Transcribed Image Text:A long circular shaft of length L with variable cross-section is fixed onto rigid walls as shown in
Figure 1.1. The polar moment of inertia of the L/3-long segment (J₁) with a larger cross section
is three times larger than that of a 2L/3-long segment (J2) on the right. Assume the shear modulus
is constant and equal to G for the entire shaft and that strains are small and linear elastic.
a
b
L/3
L/3
L/3
Figure 1.1. Shaft with variable cross-section and external torque T.
(a) If the shaft is subjected to an external torque T at point b, find the angle of twist of point b
with respect to point a.
(b) If the shaft is subjected to an external torque T at point a, as shown in Figure 1.2, find the
angle of twist of point a with respect to point b.
T
J₂
b
L/3
L/3
L/3
Figure 1.2. Shaft with variable cross-section and external torque T.
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