The electric motor shown below has a power rating of 18 hp and operates at 3080 RPM. It powers a drive shaft with diameter d that is connected to three gears which are supported by four bearings. The gears have negligible thickness. When the motor is operating at its rated capacity, gear A removes of the power developed by the motor, gear B removes of the power developed by the motor, and gear C removes of the power developed by the motor. The drive shaft is fabricated from an alloy steel with a yield strength in shear of 19 ksi. Determine the minimum acceptable shaft diámeter dmin that satisfies the below constraints: • The maximum shearing stress 7 in the shaft may not exceed • The angle of twist may not exceed 2.4° measured from the motor to gear C. The dimensions of the drive shaft are Lma = 2 ft, Lab = 3 ft, and Lbc = 3 ft. Lma dmin 0.66657 A Lab B in. of the yield strength of material in shear. Lbc ?x0% GEAR DRIVE BEARING BLOCK

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The electric motor shown below has a power rating of 18 hp and operates at 3080 RPM. It powers a drive
shaft with diameter d that is connected to three gears which are supported by four bearings. The gears have
negligible thickness. When the motor is operating at its rated capacity, gear A removes of the power
developed by the motor, gear B removes of the power developed by the motor, and gear C removes of
the power developed by the motor. The drive shaft is fabricated from an alloy steel with a yield strength in
shear of 19 ksi. Determine the minimum acceptable shaft diameter dmin that satisfies the below constraints:
• The maximum shearing stress 7 in the shaft may not exceed of the yield strength of material in shear.
• The angle of twist may not exceed 2.4° measured from the motor to gear C.
The dimensions of the drive shaft are Lma = 2 ft, Lab = 3 ft, and Lbc = 3 ft.
dmin
0.66657
Lma
A
Lab
B
Lbc
in. ● x0%
GEAR DRIVE
BEARING BLOCK
Transcribed Image Text:The electric motor shown below has a power rating of 18 hp and operates at 3080 RPM. It powers a drive shaft with diameter d that is connected to three gears which are supported by four bearings. The gears have negligible thickness. When the motor is operating at its rated capacity, gear A removes of the power developed by the motor, gear B removes of the power developed by the motor, and gear C removes of the power developed by the motor. The drive shaft is fabricated from an alloy steel with a yield strength in shear of 19 ksi. Determine the minimum acceptable shaft diameter dmin that satisfies the below constraints: • The maximum shearing stress 7 in the shaft may not exceed of the yield strength of material in shear. • The angle of twist may not exceed 2.4° measured from the motor to gear C. The dimensions of the drive shaft are Lma = 2 ft, Lab = 3 ft, and Lbc = 3 ft. dmin 0.66657 Lma A Lab B Lbc in. ● x0% GEAR DRIVE BEARING BLOCK
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