Mechanics of Materials, 7th Edition
7th Edition
ISBN: 9780073398235
Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David F. Mazurek
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 11.5, Problem 67P
Torques of the same magnitude T are applied to the steel shafts AB and CD. Using the method of work and energy, determine the length L of the hollow portion of the shaft CD for which the angle of twist at C is equal to 1.25 times the angle of twist at A.
Fig. P11.67
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b) The torques shown in Fig. Q1(b) are exerted on pulleys A, B, C and D. Knowing that
each shaft is solid, 120 mm long and made of steel with Modulus of Rigidity of 77 GPa
and Modulus of Elasticity of 70 GPa
i) Compute the angle of twist between A and C with the aid of free body diagrams.
i1) State the direction of the twist (either clockwise or counterclockwise) for question
Q1(b)i.
120 N-m
90 N-m
D
60 N-m
20 mm
C
15 N-m
15 mm
10 mm
Fig. Q1(b)
3) The electric motor exerts a torque of 600 N.m on
the steel shaft ABCD when it is rotating at a
constant speed. Design specifications require that
the diameter of the shaft be uniform from A to D
and that the angle of twist between A and D not
exceed 1.5°. Knowing that t max < 65 MPa and G =
77 GPa, determine the minimum diameter the shaft
that can be used.
200 N.m
400 N.m
0.6 m
-0.8m
-0.3m-
A circular shaft AB consists of a 10-in.-long, 78-in.-diameter steel cylinder, in which a 5-in.-long, 58-in.-diameter cavity has been drilled from end B. The shaft is attached to fixed supports at both ends, and a 90 lb?ft torque is applied at its midsection . Determine the torque exerted on the shaft by each of the supports.
Chapter 11 Solutions
Mechanics of Materials, 7th Edition
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