A steel shaft BCD (G=80 GPa) of total length 3 m is encased for 1/3 of its length by a bronze sleeve ABC (G=41 GPa) that is securely bonded to the steel. The diameter of the steel is 60 mm while the outer diameter of the bronze is 80 mm. a. What is the maximum allowable torque in gear A if the allowable shear stresses in the steel and bronze are limited to 110 MPa and 70 MPa, respectively; and the angle of twist between A and D is limited to 9o? b. What power is supplied by the motor that corresponds to the computed torque at A if shaft EF rotates at 200 rpm? The diameter of gear E is 60 mm while gear D has a diameter of 100 mm.

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 3.7.3P: A motor driving a solid circular steel shaft with diameter d = 1.5 in, transmits 50 hp to a gear at...
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A steel shaft BCD (G=80 GPa) of total length 3 m is encased for 1/3 of its length by a bronze sleeve ABC (G=41 GPa) that is securely bonded to the steel. The diameter of the steel is 60 mm while the outer diameter of the bronze is 80 mm.

a. What is the maximum allowable torque in gear A if the allowable shear stresses in the steel and bronze are limited to 110 MPa and 70 MPa, respectively; and the angle of twist between A and D is limited to 9o?

b. What power is supplied by the motor that corresponds to the computed torque at A if shaft EF rotates at 200 rpm? The diameter of gear E is 60 mm while gear D has a diameter of 100 mm.

Problem 1
A steel shaft BCD (G=80 GPa) of total length 3 m is encased for 1/3 of its length by a bronze sleeve ABC (G=41 GPa) that is securely bonded to the steel. The
diameter of the steel is 60 mm while the outer diameter of the bronze is 80 mm.
a. What is the maximum allowable torque in gear A if the allowable shear stresses in the steel and bronze are limited to 110 MPa and 70 MPa, respectively; and the angle of twist
between A and D is limited to 9°?
b. What power is supplied by the motor that corresponds to the computed torque at A if shaft EF rotates at 200 rpm? The diameter of gear E is 60 mm while gear D has a
diameter of 100 mm.
A
Motor
Bearing
Bearing
1 m
1m
2 m
Transcribed Image Text:Problem 1 A steel shaft BCD (G=80 GPa) of total length 3 m is encased for 1/3 of its length by a bronze sleeve ABC (G=41 GPa) that is securely bonded to the steel. The diameter of the steel is 60 mm while the outer diameter of the bronze is 80 mm. a. What is the maximum allowable torque in gear A if the allowable shear stresses in the steel and bronze are limited to 110 MPa and 70 MPa, respectively; and the angle of twist between A and D is limited to 9°? b. What power is supplied by the motor that corresponds to the computed torque at A if shaft EF rotates at 200 rpm? The diameter of gear E is 60 mm while gear D has a diameter of 100 mm. A Motor Bearing Bearing 1 m 1m 2 m
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