Questions from Mechanics


Q: Each girder of the lift bridge (see figure) is 180

Each girder of the lift bridge (see figure) is 180 ft long and simply supported at the ends. The design load for each girder is a uniform load of intensity 1.6 kips/ft. The girders are fabricated by w...

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Q: A freight-car axle AB is loaded approximately as shown in

A freight-car axle AB is loaded approximately as shown in the figure, with the forces P representing the car loads (transmitted to the axle through the axle boxes) and the forces R representing the ra...

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Q: A seesaw weighing 3 lb/ft of length is occupied by

A seesaw weighing 3 lb/ft of length is occupied by two children, each weighing 90 lb (see figure). The center of gravity of each child is 8 ft from the fulcrum. The board is 19 ft long, 8 in. wide, an...

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Q: During construction of a highway bridge, the main girders are cantilevered

During construction of a highway bridge, the main girders are cantilevered outward from one pier toward the next (see figure). Each girder has a cantilever length of 48 m and an I-shaped cross section...

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Q: The horizontal beam ABC of an oil-well pump has the

The horizontal beam ABC of an oil-well pump has the cross section shown in the figure. If the vertical pumping force acting at end C is 9 kips and if the distance from the line of action of that force...

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Q: A curved bar ABC having a circular axis (radius r =

A curved bar ABC having a circular axis (radius r = 12 in.) is loaded by forces P = 400 lb (see figure). The cross section of the bar is rectangular with height h and thickness t. If the allowable ten...

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Q: A railroad tie (or sleeper) is subjected to two rail

A railroad tie (or sleeper) is subjected to two rail loads, each of magnitude P = 175 kN, acting as shown in the figure. The reaction q of the ballast is assumed to be uniformly distributed over the l...

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Q: A fiberglass pipe is lifted by a sling, as shown in

A fiberglass pipe is lifted by a sling, as shown in the figure. The outer diameter of the pipe is 6.0 in., its thickness is 0.25 in, and its weight density is 0.053 lb/in3. The length of the pipe is L...

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Q: A small dam of height h = 2.0 m is

A small dam of height h = 2.0 m is constructed of vertical wood beams AB of thickness t = 120 mm, as shown in the figure. Consider the beams to be simply supported at the top and bottom. Determine the...

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Q: Determine the maximum tensile stress σt (due to pure bending about

Determine the maximum tensile stress σt (due to pure bending about a horizontal axis through C by positive bending moments M) for beams having cross sections as follows (see figure). (a) A...

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