Questions from Mechanics


Q: A rubber cube R of a side L = 3 in and

A rubber cube R of a side L = 3 in and cross- sectional area A = 9 in2 is compressed inside a steel cube S by a force F = 5 lb that applies uniformly distributed pressure to the rubber. Assume E = 0.3...

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Q: A copper bar with a square cross section is inserted into a

A copper bar with a square cross section is inserted into a square rigid tube as shown in the figure. The length of the copper bar is 1.2 m and the area of the cross section is 300 mm2. The bar is sub...

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Q: A solid spherical ball of magnesium alloy (E = 6.

A solid spherical ball of magnesium alloy (E = 6.5 × 1026 psi, v = 0.35) is lowered into the ocean to a depth of 8000 ft. The diameter of the ball is 9.0 in. (a) Determine the decrease ∆d in diameter,...

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Q: A solid steel sphere (E = 210 GPa, v =

A solid steel sphere (E = 210 GPa, v = 0.3) is subjected to hydrostatic pressure p such that its volume is reduced by 0.4%. (a) Calculate the pressure p. (b) Calculate the volume modulus of elasticity...

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Q: A solid bronze sphere (volume modulus of elasticity K = 14

A solid bronze sphere (volume modulus of elasticity K = 14.5 × 106 psi) is suddenly heated around its outer surface. The tendency of the heated part of the sphere to expand produces uniform tension in...

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Q: Solve the preceding problem if the thickness of the steel plate is

Solve the preceding problem if the thickness of the steel plate is t = 12 mm , the gage readings are εx = 530 × 10-6− (elongation) and εy &acir...

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Q: The state of stress on an element of material is shown in

The state of stress on an element of material is shown in the figure. Calculate the unit volume change of the element if the stresses σx and σy are –20Â&n...

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Q: Calculate the maximum shear stress τmax in the web of the T

Calculate the maximum shear stress Ï„max in the web of the T-beam shown in the figure if b = 10 in, t = 0.5 in, h = 7 in., h1 = 6.2 in., and the shear force V = 5300 lb.

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Q: An element of a material is subjected to plane stresses as shown

An element of a material is subjected to plane stresses as shown in the figure. The stresses σx, σy, and τxy are 10 MPa, –15 MPa, and 5 MPa, respecti...

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Q: Assume that the normal strains εx and εy for an element in

Assume that the normal strains εx and εy for an element in plane stress (see figure) are measured with strain gages. (a) Obtain a formula for the normal strain ε...

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