Questions from Mechanics


Q: A laminated wood beam on simple supports (figure part a)

A laminated wood beam on simple supports (figure part a) is built up by gluing together four 2 in. × 4 in boards (actual dimensions) to form a solid beam 4 in. × 8 in in cros...

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Q: A solid circular bar of diameter d = 50 mm (see

A solid circular bar of diameter d = 50 mm (see figure) is twisted in a testing machine until the applied torque reaches the value T = 500 Nm?. At this value of torque, a strain gage oriented at 45&Ac...

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Q: A steel tube (G = 11.5 × 106 psi

A steel tube (G = 11.5 × 106 psi) has an outer diameter d2 = 2.0 in. and an inner diameter d1 = 1.5 in. When twisted by a torque T, the tube develops a maximum normal strain of 170 × 10-6. What is the...

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Q: A solid circular bar of steel (G = 78 GPa)

A solid circular bar of steel (G = 78 GPa) transmits a torque T = 360 Nm? The allowable stresses in tension, compression, and shear are 90 MPa, 70 MPa, and 40 MPa, respectively. Also, the allowable te...

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Q: The normal strain in the 45° direction on the surface of

The normal strain in the 45° direction on the surface of a circular tube (see figure) is 880 × 10-6 when the torque T = 750 lb-in. The tube is made of copper alloy with G = 6.2...

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Q: An aluminum tube has inside diameter d1 = 50 mm, shear

An aluminum tube has inside diameter d1 = 50 mm, shear modulus of elasticity G = 27 GPa, v = 0.33, and torque T = 4.0 kNm? The allowable shear stress in the aluminum is 50 MPa, and the allowable norma...

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Q: A solid steel bar (G = 11.8 × 106

A solid steel bar (G = 11.8 × 106 psi) of diameter d = 2.0 in. is subjected to torques T = 8.0 kip-in. acting in the directions shown in the figure. (a) Determine the maximum shear, tensi...

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Q: A solid aluminum bar (G = 2 7 GPa) of

A solid aluminum bar (G = 2 7 GPa) of diameter d = 40 mm is subjected to torques T = 300 Nm? acting in the directions shown in the figure. (a) Determine the maximum shear, tensile, and compressive str...

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Q: Two circular aluminum pipes of equal length L = 24 in.

Two circular aluminum pipes of equal length L = 24 in. are loaded by torsional moments T (see figure). Pipe 1 has outside and inside diameters d2 = 3 in and d1 = 2.5 in, respectively. Pipe 2 has a con...

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Q: Repeat Problem 1, but now use a circular tube with outer

Repeat Problem 1, but now use a circular tube with outer diameter do = 2.5 in. and inner diameter di = 1.5 in. Data from Problem 1: A solid steel bar of circular cross section has diameter d = 2.5...

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