Questions from Mechanics


Q: A round bar of 10 mm diameter is made of aluminum alloy

A round bar of 10 mm diameter is made of aluminum alloy 7075-T6 (see figure). When the bar is stretched by axial forces P, its diameter decreases by 0.016 mm. Find the magnitude of the load P. Obtain...

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Q: Continuous cable ADB runs over a small frictionless pulley at D to

Continuous cable ADB runs over a small frictionless pulley at D to support beam OABC that is part of an entrance canopy for a building (see figure). Assume that the canopy segment has a weight W = 170...

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Q: A polyethylene bar with a diameter d1 = 4.0 in

A polyethylene bar with a diameter d1 = 4.0 in. is placed inside a steel tube with an inner diameter d2 = 4.01 in. (see figure). The polyethylene bar is then compressed by an axial force P. At what va...

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Q: A square plastic bar (length Lp, side dimension sp =

A square plastic bar (length Lp, side dimension sp = 193 mm) is inserted inside a hollow, square, cast iron tube (length Lc = 400 mm, side sc = 200 mm, and thickness tc = 3 mm). (a) What is the requir...

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Q: A polyethylene bar having rectangular cross section with a width 7.

A polyethylene bar having rectangular cross section with a width 7.35 in. and depth 7 in. is placed inside a hollow steel square section with side dimension of 8 in. The polyethylene bar is then compr...

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Q: A circular aluminum tube of length L = 600 mm is loaded

A circular aluminum tube of length L = 600 mm is loaded in compression by forces P (see figure). The outside and inside diameters are d2 = 75 mm and d1 = 63 mm, res...

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Q: A bar of monel metal with a length L = 9 in

A bar of monel metal with a length L = 9 in. and a diameter d = 0.225 in. is loaded axially by a tensile force P (see figure). If the bar elongates by 0.0195 in., what is the d...

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Q: A tensile test is performed on a brass specimen 10 mm in

A tensile test is performed on a brass specimen 10 mm in diameter using a gage length of 50 mm (see figure). When the tensile load P reaches a value of 20 kN, the distance between the gage marks has i...

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Q: A hollow, brass circular pipe ABC (see figure) supports

A hollow, brass circular pipe ABC (see figure) supports a load P1 = 26.5 kips acting at the top. A second load P2 = 22.0 kips is uniformly distributed around the cap plate at B. The diameters and thic...

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Q: Three round, copper alloy bars having the same length L but

Three round, copper alloy bars having the same length L but different shapes are shown in the figure. The first bar has a diameter d over its entire length, the second has a diameter d over one-fifth...

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