Questions from Mechanics


Q: A bar AB of length L is held between rigid supports and

A bar AB of length L is held between rigid supports and heated non uniformly in such a manner that the temperature increase ∆T at a distance x from end A is given by the expression &...

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Q: A beam is constructed using two angle sections (L = 102

A beam is constructed using two angle sections (L = 102 × 76 × 6.4) arranged back to back, as shown in the figure. The beam is fixed at joint A and attached to an elastic sup...

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Q: A W8 × 28 beam of a length 10 ft is held

A W8 × 28 beam of a length 10 ft is held between immoveable supports. The beam has a modulus of elasticity E = 29,000 ksi and coefficient of thermal expansion α = 6.5 &Atild...

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Q: A plastic bar ACB having two different solid circular cross sections is

A plastic bar ACB having two different solid circular cross sections is held between rigid supports, as shown in the figure. The diameters in the left- and right-hand parts are 50 mm and 75 mm, respec...

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Q: A flat aluminum alloy bar is fixed at both ends. Segment

A flat aluminum alloy bar is fixed at both ends. Segment AB has a slight taper. If the temperature of the bar is raised uniformly by an amount ∆T = 20° F, find reactions a...

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Q: Repeat Problem 9 for the flat bar shown in the figure but

Repeat Problem 9 for the flat bar shown in the figure but assume that ∆T = 30° C, and that α = 19 × 1026 /°C, L = 2 m, t = 20 mm, b1...

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Q: A circular steel rod AB (diameter d1 = 1.0

A circular steel rod AB (diameter d1 = 1.0 in., length L1 = 3.0 ft) has a bronze sleeve (outer diameter d2 = 1.25 in., length L2 = 1.0 ft) shrunk onto it so that the two parts are securely bonded (see...

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Q: A circular, aluminum alloy bar of a length L = 1

A circular, aluminum alloy bar of a length L = 1.8 m has a slot in the middle half of its length (see figure). The bar has a radius r = 36 mm and modulus of elasticity E = 72 GPa. The slot has a heigh...

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Q: A wood box beam is constructed of two 260 mm × 50

A wood box beam is constructed of two 260 mm × 50 mm boards and two 260 mm × 25 mm boards (see figure). The boards are nailed at a longitudinal spacing s = 100 mm. If each na...

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Q: Rectangular bars of copper and aluminum are held by pins at their

Rectangular bars of copper and aluminum are held by pins at their ends, as shown in the figure. Thin spacers provide a separation between the bars. The copper bars have cross-sectional dimensions 0.5...

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