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 T, = 375 Ib-ft. Gears at B and D are driven by the shaft and have resisting torques T, = 245 Ib-ft and T = 130 Ib-ft, respectively. Segments BC and CD have lengths Lsc = 20 in. and Lco = 15 in. and the shear modulus G = 11,600 ksi. Determine the minimum required diameter (d, in inches) of the shaft if the allowable shear stressT, = 4 ksi. d = in. Also calculate the angle of twist (in degrees) between gears B and D. (Assume that the +x-axis is to the right. Use the statics sign convention.)

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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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 T, = 375 Ib-ft. Gears at B and D are driven by the shaft and have resisting torques T, = 245 Ib-ft and T, = 130 Ib-ft, respectively.
Segments BC and CD have lengths Lac = 20 in. and Lco = 15 in. and the shear modulus G = 11,600 ksi.
T3
-LBC
Determine the minimum required diameter (d, in inches) of the shaft if the allowable shear stresst, = 4 ksi.
d =
in.
Also calculate the angle of twist (in degrees) between gears B and D. (Assume that the +x-axis is to the right. Use the statics sign convention.)
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 T, = 375 Ib-ft. Gears at B and D are driven by the shaft and have resisting torques T, = 245 Ib-ft and T, = 130 Ib-ft, respectively. Segments BC and CD have lengths Lac = 20 in. and Lco = 15 in. and the shear modulus G = 11,600 ksi. T3 -LBC Determine the minimum required diameter (d, in inches) of the shaft if the allowable shear stresst, = 4 ksi. d = in. Also calculate the angle of twist (in degrees) between gears B and D. (Assume that the +x-axis is to the right. Use the statics sign convention.)
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