Questions from Mechanics


Q: A tubular aluminum bar (G = 4 × 106 psi)

A tubular aluminum bar (G = 4 × 106 psi) of square cross section (see figure) with outer dimensions 2 in. × 2 in. must resist a torque T = 3000 lb-in. Calculate the minimum r...

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Q: A thin tubular shaft with a circular cross section (see figure

A thin tubular shaft with a circular cross section (see figure) and with inside diameter 100 mm is subjected to a torque of 5000 Nm. If the allowable shear stress is 42 MPa, determine the required wal...

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Q: A thin-walled rectangular tube has uniform thickness t and dimensions

A thin-walled rectangular tube has uniform thickness t and dimensions a × b to the median line of the cross section (see figure). How does the shear stress in the tube vary with the ratio...

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Q: A stepped shaft of solid circular cross sections (see figure)

A stepped shaft of solid circular cross sections (see figure) has length L = 45 in., diameter d2 = 1.2 in, and diameter d1 = 1.0 in. The material is brass with G = 5.6 × 106 psi. Determin...

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Q: A stepped shaft of solid circular cross sections (see figure)

A stepped shaft of solid circular cross sections (see figure) has length L = 0.80 m, diameter d2 = 40 mm, and diameter d1 = 30 mm. The material is steel with G = 80 GPa. Determine the strain energy U...

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Q: Two wood beams, each of rectangular cross section (3.

Two wood beams, each of rectangular cross section (3.0in. × 4.0in, actual dimensions), are glued together to form a solid beam with dimensions 6.0in. × 4.0in. (see figure). T...

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Q: A circular tube AB is fixed at one end and free at

A circular tube AB is fixed at one end and free at the other. The tube is subjected to concentrated torques as shown in the figure. If the outer radius of the tube is 1.5 in. and the thickness is 3/4...

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Q: A cantilever bar of circular cross section and length L is fixed

A cantilever bar of circular cross section and length L is fixed at one end and free at the other (see figure). The bar is loaded by a torque T at the free end and by a distributed torque of constant...

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Q: Obtain a formula for the strain energy U of the statically indeterminate

Obtain a formula for the strain energy U of the statically indeterminate circular bar shown in the figure. The bar has fixed supports at ends A and B and is loaded by torques 2To and To at points C an...

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Q: A statically indeterminate stepped shaft ACB is fixed at ends A and

A statically indeterminate stepped shaft ACB is fixed at ends A and B and loaded by a torque To at point C (see figure). The two segments of the bar are made of the same material, have lengths LA and...

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