Questions from Mechanics


Q: Uniform load q = 10 lb/ft acts over part of

Uniform load q = 10 lb/ft acts over part of the span of fixed-end beam AB (see figure). Upward load P = 250 lb is applied 9 ft to the right of joint A. Find the reactions at A and B.

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Q: A propped cantilever beam with a length L = 4 m is

A propped cantilever beam with a length L = 4 m is subjected to a trapezoidal load with intensities q0 = 10 kN/m and q1 = 15 kN/m. Find the reactions at A and B.

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Q: A cantilever beam is supported by a tie rod at B as

A cantilever beam is supported by a tie rod at B as shown. Both the tie rod and the beam are steel with E = 30 × 106 psi. The tie rod is just taut before the distributed load q = 200 lb/f...

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Q: The figure shows a non prismatic, propped cantilever beam AB with

The figure shows a non prismatic, propped cantilever beam AB with flexural rigidity 2EI from A to C and EI from C to B. Determine all reactions of the beam due to the uniform load of intensity q.

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Q: A beam ABC is fixed at end A and supported by beam

A beam ABC is fixed at end A and supported by beam DE at point B (see figure). Both beams have the same cross section and are made of the same material. (a) Determine all reactions due to the load P....

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Q: Solve the preceding problem by integrating the differential equation of the deflection

Solve the preceding problem by integrating the differential equation of the deflection curve. Data from Problem 2: A propped cantilever beam, fixed at the left-hand end A and simply supported at th...

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Q: A three-span continuous beam ABCD with three equal spans supports

A three-span continuous beam ABCD with three equal spans supports a uniform load of intensity q (see figure). Determine all reactions of this beam and draw the shear-force and bending-moment diagrams,...

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Q: A beam rests on supports at A and B and is loaded

A beam rests on supports at A and B and is loaded by a distributed load with intensity q as shown. A small gap D exists between the unloaded beam and the support at C. Assume that span length L = 40 i...

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Q: A propped cantilever beam is subjected to two triangularly distributed loads,

A propped cantilever beam is subjected to two triangularly distributed loads, each with a peak load intensity equal to q0 (see figure). Find the expressions for reactions at A and C using superpositio...

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Q: A propped cantilever beam is loaded by a triangular distributed load from

A propped cantilever beam is loaded by a triangular distributed load from A to C (see figure). The load has a peak intensity qo = 10 lb/ft. The length of the beam is 12 ft. Find support reactions at A...

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