Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Textbook Question
Chapter 5.10, Problem 136P
Plot the shear-stress distribution acting along a radial line if it is subjected to a torque of T = 20 kN·m. What is the residual stress distribution in the shaft when the torque is removed?
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Part A
The solid shaft cross-sections shown are subjected to the externally applied torques shown. Compare the corresponding shear stresses developed in each shaft at point P.
P
P
2 T
Rank the solid shafts from the largest shear stress at P to the smallest shear stress at P. (For example, 4> 3 = 1 > 2).
0.5 T
What is the minimum diameter of a solid steel shaft that will not twist through more than 3˚ in a6-m length when subjected to a torque of 15 KN-m? What maximum shearing stress isdeveloped? Use G=85 GPa.
Figure 2 shows a solid shaft consisting of two prismatic circular parts in equilibrium under the
torques applied to the pulleys fastened to it. Give that the diameter for part AB and BC are 200
mm and 120 mm, respectively.
(a) Determine the torque, TR on the shaft.
(b) State the segment at which the maximum shearing stress occurs. Verify your answer by
shear stress analysis.
d- 200 mm
d- 120 mm
TA= 36 kN.m
Te=14 kN.m
Ta
C
Figure 2: Solid shaft with pulleys
Chapter 5 Solutions
Mechanics of Materials
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