Questions from Mechanics


Q: A simple beam of length L = 5 m carries a uniform

A simple beam of length L = 5 m carries a uniform load of intensity q = 5.8 kN/m and a concentrated load 22.5 kN (see figure). (a) Assuming σallow = 110 MPa, calculate the required section...

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Q: A solid circular pole is subjected to linearly varying distributed force with

A solid circular pole is subjected to linearly varying distributed force with maximum intensity qo at the base and an axial compressive load P at the top (see figure). Find the required diameter d of...

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Q: A simple beam AB is loaded as shown in the figure.

A simple beam AB is loaded as shown in the figure. (a) Calculate the required section modulus S if σallow = 18,000 psi, L = 32 ft, P = 2900 lb, and q = 450 lb/ft. Then select a suitable I-b...

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Q: A pontoon bridge (see figure) is constructed of two longitudinal

A pontoon bridge (see figure) is constructed of two longitudinal wood beams, known as balks, that span between adjacent pontoons and support the transverse floor beams, which are called chesses. For p...

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Q: A floor system in a small building consists of wood planks supported

A floor system in a small building consists of wood planks supported by 2-in. (nominal width) joists spaced at distance s and measured from center to center (see figure). The span length L of each joi...

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Q: The wood joists supporting a plank floor (see figure) are

The wood joists supporting a plank floor (see figure) are 38 mm × 220 mm in cross section (actual dimensions) and have a span length of L = 4.0 m. The floor load is 5.0 kPa, which include...

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Q: A beam ABC with an overhang from B to C is constructed

A beam ABC with an overhang from B to C is constructed of a C 10 × 03 channel section with flanges facing upward (see figure). The beam supports its own weight (30 lb/ft) plus a triangula...

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Q: A “trapeze bar” in a hospital room provides a means

A “trapeze bar” in a hospital room provides a means for patients to exercise while in bed (see figure). The bar is 2.1 m long and has a cross section in the shape o...

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Q: A two-axle carriage that is part of an overhead traveling

A two-axle carriage that is part of an overhead traveling crane in a testing laboratory moves slowly across a simple beam AB (see figure). The load transmitted to the beam from the front axle is 2200...

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Q: A cantilever beam AB with a circular cross section and length L

A cantilever beam AB with a circular cross section and length L = 750 mm supports a load P = 800 N acting at the free end (see figure). The beam is made of steel with an allowable bending stress of 12...

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