1) An aluminum alloy bar has a circular cross section of 20 mm diameter, length 120 mm and shear modulus of 28 GPa. If the distributed torque is uniform and causes the end of the bar to rotate 0.5°, calculate the magnitude of the maximum shear stress in the bar.

1) An aluminum alloy bar has a circular cross section of 20 mm diameter, length 120 mm and shear modulus of 28 GPa. If the distributed torque is uniform and causes the end of the bar to rotate 0.5°, calculate the magnitude of the maximum shear stress in the bar.

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

Please show all work!

1) An aluminum alloy bar has a circular
cross section of 20 mm diameter, length 120
mm and shear modulus of 28 GPa. If the
distributed torque is uniform and causes the
end of the bar to rotate 0.5°, calculate the
magnitude of the maximum shear stress in
the bar.

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