A shaft fixed to a wall at B is made of an outer steel tube of 1" outer radius (G = 11,400 ksi) bonded to an inner solid brass core (G = 5200 ksi) of 0.5" radius. For the torque applied at A determine the maximum shear stress in each material and the rotation of A. Note: Each material carries part of the total applied torque. Treat end A as a joint. Ans: 1977 psi steel, 451 psi brass %3D

A shaft fixed to a wall at B is made of an outer steel tube of 1" outer radius (G = 11,400 ksi) bonded to an inner solid brass core (G = 5200 ksi) of 0.5" radius. For the torque applied at A determine the maximum shear stress in each material and the rotation of A. Note: Each material carries part of the total applied torque. Treat end A as a joint. Ans: 1977 psi steel, 451 psi brass %3D

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

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

A shaft fixed to a wall at B is made of an outer steel tube of 1" outer radius (G = 11,400 ksi) bonded to an inner
solid brass core (G = 5200 ksi) of 0.5" radius. For the torque applied at A determine the maximum shear stress
in each material and the rotation of A. Note: Each material carries part of the total applied torque. Treat end A
%3D
as a joint. Ans: 1977 psi steel, 451 psi brass
4 ft
0.5 in.
1 in.
T= 250 lb-ft
(a)
all cunnorted at A and B. For

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