Questions from Mechanics


Q: Pre stressed concrete beams are sometimes manufactured in the following manner.

Pre stressed concrete beams are sometimes manufactured in the following manner. High-strength steel wires are stretched by a jacking mechanism that applies a force Q, as represented schematically in p...

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Q: A polyethylene tube (length L) has a cap that is

A polyethylene tube (length L) has a cap that is held in place by a spring (with un deformed length L1 (a) What is the resulting force in the spring, Fk? (b) What is the resulting force in the tube, F...

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Q: A steel bar is 8.0 ft long and has a

A steel bar is 8.0 ft long and has a circular cross section of diameter d1 = 0.75 in. over one-half of its length and diameter d2 = 0.5 in. over the other half (see figure on following page part a). T...

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Q: A bar ABC of length L consists of two parts of equal

A bar ABC of length L consists of two parts of equal lengths but different diameters. Segment AB has diameter d1 = 100 mm, and segment BC has diameter d2 = 60 mm. Both segments have a length L/2 = 0.6...

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Q: A wood pile, driven into the earth, supports a load

A wood pile, driven into the earth, supports a load P entirely by friction along its sides (see figure part a). The friction force f per unit length of the pile is assumed to be uniformly distributed...

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Q: Consider the copper tubes joined in the figure using a “sweated

Consider the copper tubes joined in the figure using a “sweated” joint. Use the properties and dimensions given. (a) Find the total elongation of segment (d2-4) for...

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Q: The non prismatic cantilever circular bar shown has an internal cylindrical hole

The non prismatic cantilever circular bar shown has an internal cylindrical hole of diameter d/2 from 0 to x, so the net area of the cross section for segment 1 is (3/4) A. Load P is applied at x, and...

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Q: A prismatic bar AB of length L, cross- sectional area

A prismatic bar AB of length L, cross- sectional area A, modulus of elasticity E, and weight W hangs vertically under its own weight (see figure). (a) Derive a formula for the downward displacement &I...

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Q: A steel bracket of solid circular cross section is subjected to two

A steel bracket of solid circular cross section is subjected to two loads, each of which is P = 4.5 kN at D (see figure). Let the dimension variable be b = 240 mm. (a) Find the minimum permissible dia...

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Q: A flat brass bar has length L, constant thickness t,

A flat brass bar has length L, constant thickness t, and a rectangular cross section whose width varies linearly between b2 at the fixed support to b1 at the free end (see figure). Assume that the tap...

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