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)

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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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
Transcribed Image Text: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
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