A solid steel shaft ABCDE turns freely in bearings at points A and E. The shaft is driven by the gear at C, which applies a torque T2 = 325lb – ft. Gears at B and D are driven by the shaft and have resisting torques T1 = 2001b – ft and T3 = 125lb – ft, respectively. Segments BC and CD have lengths LBC = 20 in. and LcD = 15 in. and the shear modulus G = 11, 600ksi. Determine the minimum required diameter (d) of the shaft if the allowable shear stress 7, = 6ksi. Also calculate the angle of twist between gears B and D. T2 T3 B D Lạc-LcD| -LBC"

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 3.7.12P
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A solid steel shaft ABCDE turns freely in bearings at points A and E. The shaft is driven by the gear at C,
which applies a torque T2 = 325lb−ft. Gears at B and D are driven by the shaft and have resisting torques
T1 = 200lb − ft and T3 = 125lb − ft, respectively. Segments BC and CD have lengths LBC = 20 in. and
LCD = 15 in. and the shear modulus G = 11, 600ksi. Determine the minimum required diameter (d) of
the shaft if the allowable shear stress τa = 6ksi. Also calculate the angle of twist between gears B and D.

A solid steel shaft ABCDE turns freely in bearings at points A and E. The shaft is driven by the gear at C,
which applies a torque T2 = 325lb – ft. Gears at B and D are driven by the shaft and have resisting torques
T1 = 2001b – ft and T3 = 125lb – ft, respectively. Segments BC and CD have lengths LBC = 20 in. and
LcD = 15 in. and the shear modulus G = 11, 600ksi. Determine the minimum required diameter (d) of
the shaft if the allowable shear stress 7, = 6ksi. Also calculate the angle of twist between gears B and D.
T2
T3
B
D
Lạc-LcD|
-LBC"
Transcribed Image Text:A solid steel shaft ABCDE turns freely in bearings at points A and E. The shaft is driven by the gear at C, which applies a torque T2 = 325lb – ft. Gears at B and D are driven by the shaft and have resisting torques T1 = 2001b – ft and T3 = 125lb – ft, respectively. Segments BC and CD have lengths LBC = 20 in. and LcD = 15 in. and the shear modulus G = 11, 600ksi. Determine the minimum required diameter (d) of the shaft if the allowable shear stress 7, = 6ksi. Also calculate the angle of twist between gears B and D. T2 T3 B D Lạc-LcD| -LBC"
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