Questions from Mechanics


Q: A cable CD of a length H is attached to the third

A cable CD of a length H is attached to the third point of a simple beam AB of a length L (see figure). The moment of inertia of the beam is I, and the effective cross-sectional area of the cable is A...

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Q: A fixed-end beam AB supports a uniform load of intensity

A fixed-end beam AB supports a uniform load of intensity q = 75 lb/ft acting over part of the span. Assume that EI = 300 kip-ft2. (a) Calculate the reactions at A and B. (b) Find the maximum displacem...

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Q: A cantilever beam is supported at B by cable BC. The

A cantilever beam is supported at B by cable BC. The beam carries a uniform load q = 200 N/m. If the length of the beam is L = 3 m, find the force in the cable and the reactions at A. Ignore the axial...

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Q: A propped cantilever beam AB of a length L carries a concentrated

A propped cantilever beam AB of a length L carries a concentrated load P acting at the position shown in the figure. Determine the reactions RA, RB, and MA for this beam. Also, draw the shear-force an...

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Q: A cantilever beam AB of length L and height h (see

A cantilever beam AB of length L and height h (see figure) is subjected to a temperature change such that the temperature at the top is T1 and at the bottom is T2. Determine the equation of the deflec...

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Q: Derive the equations of the deflection curve for beam AB with sliding

Derive the equations of the deflection curve for beam AB with sliding support at A and roller support at B, supporting a distributed load of maximum intensity qo acting on the right-hand half of the b...

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Q: A 1-meter-long, simply supported copper beam (

A 1-meter-long, simply supported copper beam (E = 117 GPa) carries uniformly distributed load q. The maximum deflection is measured as 1.5 mm. (a) Calculate the magnitude of the distributed load q if...

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Q: A uniformly loaded, steel wide-flange beam with simple supports

A uniformly loaded, steel wide-flange beam with simple supports (see figure) has a downward deflection of 10 mm at the midpoint and angles of rotation equal to 0.01 radians at the ends. Calculate the...

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Q: What is the span length L of a uniformly loaded, simple

What is the span length L of a uniformly loaded, simple beam of wide-flange cross section (see figure) if the maximum bending stress is 12,000 psi, the maximum deflection is 0.1 in., the height of the...

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Q: A cantilever beam with a uniform load (see figure) has

A cantilever beam with a uniform load (see figure) has a height h equal to 1/8 of the length L. The beam is a steel wide-flange section with E = 28 × 106 psi and an allowable bending stre...

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