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

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.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Power Transmission Elements

It is defined as the energy transfer from one location to another location. The energy will start moving from the energy generation source to the energy applied position to obtain the work output. From this method, a large amount of electric energy moves from the power station to various electrical substations.

Question

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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PLEASE ANSWER PART 4 and 5 Part 1 Calculate the polar moments of inertia in segments (1) and (2). Answer: J₁ = 13.84 in.⁴ J₂= 1.535 in. ⁴ Part 2 Calculate the internal torques T1 and T2 in shaft segments (1) and (2), respectively. On paper, prepare an internal torque diagram for the compound shaft that shows these internal torques. Use the sign convention presented in Section 6-6. Answer: T₁ = 800 Ib-ft, T₂= -800 Ib-ft. Part 3 Calculate the maximum shear stress in each shaft segment. On paper, prepare a diagram that shows the maximum shear stress in segments (1) and (2) of the shaft. Use the sign convention presented in Section 6-6. Answer: τ₁ = 1560.69 psi, τ₂ = -7817.59 psi Part 4 (PLEASE ANSWER) Determine the rotation angle of B with respect to the support at A. Please Answer: φB= rad. Part 5 (PLEASE ANSWER) Determine the rotation angle of C with respect to the support at A. Please Answer: φC= rad.