A simple torsion-bar spring is shown. The shear stress in the steel [G= 11,500 ksi] shaft is not to exceed 10800 psi, and the vertical deflection of joint D is not to exceed 0.425 in. when a load of P = 3100 lb is applied. Neglect the bending of the shaft and assume that the bearing at C allows the shaft to rotate freely. Determine the minimum diameter required for the shaft. Use dimensions of a = 84 in., b = 32 in., and c = 36 in. Part 1 Answer: D T= i P B Calculate the torque being applied to the shaft at point B. b lb-in

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter3: Torsion
Section: Chapter Questions
Problem 3.8.14P: The composite shaft shown in the figure is manufactured by shrink-Fitting a steel sleeve over a...
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A simple torsion-bar spring is shown. The shear stress in the steel [G= 11,500 ksi] shaft is not to exceed 10800 psi, and the vertical
deflection of joint D is not to exceed 0.425 in. when a load of P = 3100 lb is applied. Neglect the bending of the shaft and assume that
the bearing at C allows the shaft to rotate freely. Determine the minimum diameter required for the shaft. Use dimensions of a = 84
in., b = 32 in., and c = 36 in.
Part 1
Answer:
T =
a
i
D
P
B
Calculate the torque being applied to the shaft at point B.
b
C
lb-in
Transcribed Image Text:A simple torsion-bar spring is shown. The shear stress in the steel [G= 11,500 ksi] shaft is not to exceed 10800 psi, and the vertical deflection of joint D is not to exceed 0.425 in. when a load of P = 3100 lb is applied. Neglect the bending of the shaft and assume that the bearing at C allows the shaft to rotate freely. Determine the minimum diameter required for the shaft. Use dimensions of a = 84 in., b = 32 in., and c = 36 in. Part 1 Answer: T = a i D P B Calculate the torque being applied to the shaft at point B. b C lb-in
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Follow-up Question
Consider the maximum allowable vertical deflection of point D. Calculate the corresponding angle of twist at point B for this
deflection.
Answer:
i
rad
Transcribed Image Text:Consider the maximum allowable vertical deflection of point D. Calculate the corresponding angle of twist at point B for this deflection. Answer: i rad
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Follow-up Question
Consider the maximum allowable shear stress in the shaft. Calculate the minimum diameter required for the shaft.
Answer:
d =
i
in.
Transcribed Image Text:Consider the maximum allowable shear stress in the shaft. Calculate the minimum diameter required for the shaft. Answer: d = i in.
Solution
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