Questions from Mechanics


Q: A fixed-end beam AB of a length L is subjected

A fixed-end beam AB of a length L is subjected to a moment M0 acting at the position shown in the figure. (a) Determine all reactions for this beam. (b) Draw shear-force and bending-moment diagrams fo...

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Q: A temporary wood flume serving as a channel for irrigation water is

A temporary wood flume serving as a channel for irrigation water is shown in the figure. The vertical boards forming the sides of the flume are sunk in the ground, which provides a fixed support. The...

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Q: Two identical, simply supported beams AB and CD are placed so

Two identical, simply supported beams AB and CD are placed so that they cross each other at their midpoints (see figure). Before the uniform load is applied, the beams just touch each other at the cro...

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Q: The cantilever beam AB shown in the figure is an S6 ×

The cantilever beam AB shown in the figure is an S6 × 12.5 steel I-beam with E = 30 × 106 psi. The simple beam DE is a wood beam 4in. × 12in. (nominal dimensions...

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Q: The beam AB shown in the figure is simply supported at A

The beam AB shown in the figure is simply supported at A and B and supported on a spring of stiffness k at its midpoint C. The beam has flexural rigidity EI and length 2L. What should be the stiffness...

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Q: The continuous frame ABC has a fixed support at A, a

The continuous frame ABC has a fixed support at A, a roller support at C, and a rigid corner connection at B (see figure). Members AB and BC each have length L and flexural rigidity EI. A horizontal f...

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Q: A two-span beam with spans of lengths L and L

A two-span beam with spans of lengths L and L/3 is subjected to a temperature differential with temperature T1 on its upper surface and T2 on its lower surface (see figure). (a) Determine all reaction...

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Q: The continuous frame ABC has a pinned support at A, a

The continuous frame ABC has a pinned support at A, a sliding support at C, and a rigid corner connection at B (see figure). Members AB and BC each have length L and flexural rigidity EI. A horizontal...

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Q: A wide-flange beam ABC rests on three identical spring supports

A wide-flange beam ABC rests on three identical spring supports at points A, B, and C (see figure). The flexural rigidity of the beam is EI = 6912 × 106 lb-in2, and each spring has stiffn...

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Q: A beam supporting a uniform load of intensity q throughout its length

A beam supporting a uniform load of intensity q throughout its length rests on pistons at points A, C, and B (see figure). The cylinders are filled with oil and are connected by a tube so that the oil...

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