Questions from Mechanics


Q: A steel cable with a nominal diameter of 25 mm is used

A steel cable with a nominal diameter of 25 mm is used in a construction yard to lift a bridge section weighing 38 kN, as shown in the figure. The cable has an effective modulus of elasticity E = 140...

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Q: A steel wire and an aluminum alloy wire have equal lengths and

A steel wire and an aluminum alloy wire have equal lengths and support equal loads P (see figure). The moduli of elasticity for the steel and aluminum alloy are Es = 30,000 ksi and Ea = 11,000 ksi, re...

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Q: A short column constructed of a W12 × 35 wide-flange

A short column constructed of a W12 × 35 wide-flange shape is subjected to a resultant compressive load P = 25 k having its line of action at the midpoint of one flange (see figure). (a)...

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Q: By what distance h does the cage shown in the figure move

By what distance h does the cage shown in the figure move downward when the weight W is placed inside it? (See the figure.) Consider only the effects of the stretching of the cable, which has axial ri...

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Q: Rigid bar ACB is supported by an elastic circular strut DC having

Rigid bar ACB is supported by an elastic circular strut DC having an outer diameter of 15 in. and inner diameter of 14.4 in. The strut is made of steel with a modulus elasticity of E = 29,000 ksi. Poi...

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Q: A device consists of a horizontal beam ABC supported by two vertical

A device consists of a horizontal beam ABC supported by two vertical bars BD and CE. Bar CE is pinned at both ends but bar BD is fixed to the foundation at its lower end. The distance from A to B is 6...

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Q: A safety valve on the top of a tank containing steam under

A safety valve on the top of a tank containing steam under pressure p has a discharge hole of diameter d (see figure). The valve is designed to release the steam when the pressure reaches the value pm...

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Q: The device shown in the figure consists of a prismatic rigid pointer

The device shown in the figure consists of a prismatic rigid pointer ABC supported by a uniform translational spring of stiffness k = 950 N/m. The spring is positioned at distance b = 165 mm from the...

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Q: A steel bar of rectangular cross section (1.5 in

A steel bar of rectangular cross section (1.5 in. × 2.0 in.) carries a tensile load P (see figure). The allowable stresses in tension and shear are 14,500 psi and 7,100 psi, respectively....

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Q: A circular steel rod of diameter d is subjected to a tensile

A circular steel rod of diameter d is subjected to a tensile force P = 3.5 kN (see figure). The allowable stresses in tension and shear are 118 MPa and 48 MPa, respectively. What is the minimum permis...

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