Questions from Mechanics


Q: Determine the maximum bending stress σmax (due to pure bending by

Determine the maximum bending stress σmax (due to pure bending by a moment M) for a beam having a cross section in the form of a circular core (see figure). The circle has diameter d and th...

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Q: A simple beam AB of a span length L = 24 ft

A simple beam AB of a span length L = 24 ft is subjected to two wheel loads acting at a distance d = 5 ft apart (see figure). Each wheel transmits a load P = 3.0 kips, and the carriage may occupy any...

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Q: Determine the maximum tensile stress σt and maximum compressive stress σc due

Determine the maximum tensile stress σt and maximum compressive stress σc due to the load P acting on the simple beam AB (see figure). (a) Data are P = 6.2 kN, L = 3.2m, d = 1.25...

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Q: A cantilever beam AB, loaded by a uniform load and a

A cantilever beam AB, loaded by a uniform load and a concentrated load (see figure), is constructed of a channel section. (a) Find the maximum tensile stress σt and maximum compressive stre...

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Q: A cantilever beam AB of an isosceles trapezoidal cross section has a

A cantilever beam AB of an isosceles trapezoidal cross section has a length L = 0.8 m, dimensions b1 = 80 mm and b2 = 90 mm, and height h = 110 mm (see figure). The beam is made of brass weighing 85 k...

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Q: A cantilever beam, a C12 × 30 section, is subjected

A cantilever beam, a C12 × 30 section, is subjected to its own weight and a point load at B. Find the maximum permissible value of load P at B (kips) if the allowable stress in tension an...

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Q: A rigid frame ABC is formed by welding two steel pipes at

A rigid frame ABC is formed by welding two steel pipes at B (see figure). Each pipe has cross- sectional area A = 11.31 × 103 mm2, moment of inertia I = 46.37 × 106 mm4, and...

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Q: A beam ABC with an overhang from B to C supports a

A beam ABC with an overhang from B to C supports a uniform load of 200 lb/ft throughout its length (see figure). The beam is a channel section with dimensions as shown in the figure. The moment of ine...

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Q: A cantilever beam AB with a rectangular cross section has a longitudinal

A cantilever beam AB with a rectangular cross section has a longitudinal hole drilled throughout its length (see figure). The beam supports a load P = 600 N. The cross section is 25 mm wide and 50 mm...

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Q: A beam with a T-section is supported and loaded as

A beam with a T-section is supported and loaded as shown in the figure. The cross section has width b = 21/2 in, height h = 3 in, and thickness t = 3/8 in. (a) Determine the maximum tensile and compre...

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