Questions from Mechanics


Q: Two cables, each carrying a tensile force P = 1200 lb

Two cables, each carrying a tensile force P = 1200 lb, are bolted to a block of steel (see figure). The block has thickness t = 1 in and width b = 3 in. (a) If the diameter d of the cable is 0.25 in.,...

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Q: A slightly tapered bar AB of rectangular cross section and length L

A slightly tapered bar AB of rectangular cross section and length L is acted upon by a force P (see figure). The width of the bar varies uniformly from b2 at end A to b1 at end B. The thickness t is c...

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Q: A compressive load P is transmitted through a rigid plate to three

A compressive load P is transmitted through a rigid plate to three magnesium-alloy bars that are identical except that initially the middle bar is slightly shorter than the other bars (see figure). Th...

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Q: A block B is pushed against three springs by a force P

A block B is pushed against three springs by a force P (see figure). The middle spring has a stiffness k1, and the outer springs each have stiffness k2. Initially, the springs are unstressed, and the...

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Q: A bungee cord that behaves linearly elastically has an unstressed length Lo

A bungee cord that behaves linearly elastically has an unstressed length Lo = 760 mm and a stiffness k = 140 N/m. The cord is attached to two pegs, distance b = 380 mm apart, and is pulled at its midp...

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Q: A hollow circular pipe (see figure) supports a load P

A hollow circular pipe (see figure) supports a load P that is uniformly distributed around a cap plate at the top of the lower pipe. The inner and outer diameters of the upper and lower parts of the p...

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Q: The aluminum and steel pipes shown in the figure are fastened to

The aluminum and steel pipes shown in the figure are fastened to rigid supports at ends A and B and to a rigid plate C at their junction. The aluminum pipe is twice as long as the steel pipe. Two equa...

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Q: A rigid bar of weight W = 800 N hangs from three

A rigid bar of weight W = 800 N hangs from three equally spaced vertical wires (length L = 150 mm, spacing a = 50 mm): two of steel and one of aluminum. The wires also support a load P acting on the b...

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Q: A bimetallic bar (or composite bar) of square cross section

A bimetallic bar (or composite bar) of square cross section with dimensions 2b × 2b is constructed of two different metals having moduli of elasticity E1 and E2 (see figure). The two part...

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Q: Three-bar truss ABC (see figure) is constructed of

Three-bar truss ABC (see figure) is constructed of steel pipes having a cross-sectional area A = 3500 mm2 and a modulus of elasticity E = 210 GPa. Member BC is of length L = 2.5 m, and the angle betwe...

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