Q.3. The electric motor exerts a 500 N.m torque on the aliminum shaft ABCD when it isrotating at a constant speed. Knowing that G=27 GPa. and the torques exerted by pulleysBand C are as shown, determine the angle of twist between a) B and C b) B and D.300N.m200 N.m48 mm0.9 m44 mm1.2 m40 mm1 mQ.4.The aliminum shell is fully bonded to the brass core and the assembly is unstressed at atemperature of 15 °C.Considering oonly axial deformations determine the stresses in thealiminum when the temperature reaches 195 °C.25 mmBrass coreE = 105 GPaa = 20.9 x 10-6°CAluminum shellE = 70 GPaa = 23.6 x 10-6/°C60 mmQ.5. For the aluminum pipe shown (G=27 GPa) determine the torque To causing an angle oftwist 2°.b) Determine the angle of twist if the same torque Tois applied to a solid cylindrical shaft ofthe same length and cross sectional area.40 mm50 mmAT.2.5 m

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Q.3. The electric motor exerts a 500 N.m torque on the aliminum shaft ABCD when it is rotating at a constant speed. Knowing that G=27 GPa. and the torques exerted by pulleys Band C are as shown, determine the angle of twist between a) B and C b) B and D.

Q.3. The electric motor exerts a 500 N.m torque on the aliminum shaft ABCD when it is rotating at a constant speed. Knowing that G=27 GPa. and the torques exerted by pulleys Band C are as shown, determine the angle of twist between a) B and C b) B and D.

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

Torsion

In mechanical engineering, torque, torsion, and twisting moment are three of the most important concepts which have different meanings. Torque is the consequence of a moment of a force that produces an angular acceleration in a body or induces rotational kinetic energy in a body. For instance, in an automobile, the power transmission shaft is a body that is always under rotation due to the external torque acting on it, this torque is created by the engine.

Question

Q.3. The electric motor exerts a 500 N.m torque on the aliminum shaft ABCD when it is
rotating at a constant speed. Knowing that G=27 GPa. and the torques exerted by pulleys
Band C are as shown, determine the angle of twist between a) B and C b) B and D.
300N.m
200 N.m
48 mm
0.9 m
44 mm
1.2 m
40 mm
1 m
Q.4.The aliminum shell is fully bonded to the brass core and the assembly is unstressed at a
temperature of 15 °C.Considering oonly axial deformations determine the stresses in the
aliminum when the temperature reaches 195 °C.
25 mm
Brass core
E = 105 GPa
a = 20.9 x 10-6°C
Aluminum shell
E = 70 GPa
a = 23.6 x 10-6/°C
60 mm
Q.5. For the aluminum pipe shown (G=27 GPa) determine the torque To causing an angle of
twist 2°.
b) Determine the angle of twist if the same torque Tois applied to a solid cylindrical shaft of
the same length and cross sectional area.
40 mm
50 mm
A
T.
2.5 m

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