Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Textbook Question
Chapter 14.10, Problem 137P
Solve Prob. 14–95 using Castigliano’s theorem.
14–95. Determine the displacement at pulley B. The A992 steel shaft has a diameter of 30 mm.
Prob. 14–95
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For the composite solid shaft comprised of the 149 mm-diameter Shaft AB and the 42 mm-diameter shaft BC, both of which are made of the same materia
determine the support reaction at the fixed support A, if the shaft is loaded with F=6.9 kN given the lengths a=1 m and b=6.8 m.
B
0.5F
A
0.5F
O 4.480 kN
O 11.133 kN
O 0.080 kN
O 6.015 kN
O 0.885 kN
O 0.070 kN
The shaft is made of A992 steel and has an allowable shear stress of 95 MPa. When the shaft is
rotating at 420 rpm, the motor supplies 11 kW of power, while gears A and B withdraw 7 kW
and 4 kW, respectively. Determine the required minimum diameter of the shaft to the nearest
millimeter. Also, find the rotation of gear A relative to C. (G=75 GPa)
a. D=50.9589mm; 0.000004 rad
b. D=50.9589mm; 0.0369 rad
c. D=26mm; 0.000004 rad
300 mm
d. D=26mm; 0.0369rad
e. None of the above
300 mm
B
The 30-mm-diameter A992 steel rod is subjected to the loading shown. Determine the displacement of end C.
Chapter 14 Solutions
Mechanics of Materials
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