Questions from Mechanics


Q: A simple beam ABCDE supports a uniform load of intensity q (

A simple beam ABCDE supports a uniform load of intensity q (see figure). The moment of inertia in the central part of the beam (BCD) is twice the moment of inertia in the end parts (AB and DE). Find t...

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Q: An overhanging beam ABC is subjected to a couple MA at the

An overhanging beam ABC is subjected to a couple MA at the free end (see figure). The lengths of the overhang and the main span are a and L, respectively. Determine the angle of rotation A u and defle...

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Q: An overhanging beam ABC of height h has a sliding support at

An overhanging beam ABC of height h has a sliding support at A and a roller at B. The beam is heated to a temperature T1 on the top and T2 on the bottom (see figure). Determine the equation of the def...

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Q: An overhanging beam ABC rests on a simple support at A and

An overhanging beam ABC rests on a simple support at A and a spring support at B (see figure). A concentrated load P acts at the end of the overhang. Span AB has length L, the overhang has length a, a...

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Q: A symmetric beam ABCD with overhangs at both ends supports a uniform

A symmetric beam ABCD with overhangs at both ends supports a uniform load of intensity q (see figure). Determine the deflection δD at the end of the overhang. (Obtain the solution by usin...

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Q: A simple beam AB of length L supports a concentrated load P

A simple beam AB of length L supports a concentrated load P at the midpoint (see figure). (a) Evaluate the strain energy of the beam from the bending moment in the beam. (b) Evaluate the strain energy...

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Q: A propped cantilever beam AB of length L and with a sliding

A propped cantilever beam AB of length L and with a sliding support at A supports a uniform load of intensity q (see figure). (a) Evaluate the strain energy of the beam from the bending moment in the...

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Q: A simple beam AB of length L is subjected to loads that

A simple beam AB of length L is subjected to loads that produce a symmetric deflection curve with maximum deflection δ at the midpoint of the span (see figure). How much strain energy U i...

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Q: A beam ABC with simple supports at A and B and an

A beam ABC with simple supports at A and B and an overhang BC supports a concentrated load P at the free end C (see figure). (a) Determine the strain energy U stored in the beam due to the load P. (b)...

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Q: A simple beam ACB supporting a uniform load q over the first

A simple beam ACB supporting a uniform load q over the first half of the beam and a couple of moment Mo at end B is shown in the figure. Determine the strain energy U stored in the beam due to the loa...

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