Questions from Mechanics


Q: A cross section in the shape of a circular arc of constant

A cross section in the shape of a circular arc of constant thickness is shown in the figure. Derive the following formula for the distance e from the center of the arc to the shear center S: in which...

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Q: Solve the preceding problem for a W 250 × 44.8

Solve the preceding problem for a W 250 × 44.8 wide-flange shape with L = 3.5 m, q = 45 kN/m, h = 267 mm, b = 148 mm, tf = 13 mm, tw = 7.62 mm, d = 0.5 m, and a = 50 mm. Data from Probl...

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Q: A beam of wide-flange shape, W 8 × 28

A beam of wide-flange shape, W 8 × 28, has the cross section shown in the figure. The dimensions are b = 6.54 in, h = 8.06 in, tw = 0.285 in, and tf = 0.465 in. The loads on the beam prod...

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Q: Solve the preceding problem for a W 200 × 41.7

Solve the preceding problem for a W 200 × 41.7 shape with b = 166 mm, h = 205 mm, tw = 7.24 mm, tf = 11.8mm, and V = 38 kN. Data from Problem 3: A beam of wide-flange shape, W 8 &Atild...

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Q: A beam with a channel section is subjected to a bending moment

A beam with a channel section is subjected to a bending moment M having its vector at an angle θ to the z axis (see figure). Determine the orientation of the neutral axis and calculate th...

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Q: An angle section with equal legs is subjected to a bending moment

An angle section with equal legs is subjected to a bending moment M having its vector directed along the 1–1 axis, as shown in the figure. Determine the orientation of the neutral ax...

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Q: An angle section with equal legs is subjected to a bending moment

An angle section with equal legs is subjected to a bending moment M having its vector directed along the 1–1 axis, as shown in the figure. Determine the orientation of the neutral ax...

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Q: A beam made up of two unequal leg angles is subjected to

A beam made up of two unequal leg angles is subjected to a bending moment M having its vector at an angle θ to the z axis (see figure part a). (a) For the position shown in the figure, de...

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Q: The Z-section of Example D-7 is subjected to

The Z-section of Example D-7 is subjected to M = 5 kNm?, as shown. Determine the orientation of the neutral axis and calculate the maximum tensile stress σt and maximum compressive stress &...

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Q: The cross section of a steel beam is constructed of a W

The cross section of a steel beam is constructed of a W 18 × 71 wide-flange section with a 6 in. × 1/2 in. cover plate welded to the top flange and a C 10 × 30 c...

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