Questions from Mechanics


Q: Two flat beams AB and CD, lying in horizontal planes,

Two flat beams AB and CD, lying in horizontal planes, cross at right angles and jointly support a vertical load P at their midpoints (see figure). Before the load P is applied, the beams just touch ea...

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Q: A propped cantilever beam of a length 2L is loaded by a

A propped cantilever beam of a length 2L is loaded by a uniformly distributed load with intensity q. The beam is supported at B by a linearly elastic spring with stiffness k. Use the method of superpo...

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Q: A propped cantilever beam of a length 2L is loaded by a

A propped cantilever beam of a length 2L is loaded by a uniformly distributed load with intensity q. The beam is supported at B by a linearly elastic rotational spring with stiffness kR, which provide...

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Q: Determine the fixed-end moments (MA and MB) and

Determine the fixed-end moments (MA and MB) and fixed-end forces (RA and RB) for a beam of length L supporting a triangular load of maximum intensity q0 (see figure). Then draw the shear-force and ben...

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Q: A propped cantilever beam, fixed at the left-hand end

A propped cantilever beam, fixed at the left-hand end A and simply supported at the right hand end B, is subjected to a temperature differential with temperature T1 on its upper surface and T2 on its...

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Q: A continuous beam ABC with two unequal spans, one of length

A continuous beam ABC with two unequal spans, one of length L and one of length 2L, supports a uniform load of intensity q (see figure). Determine the reactions RA, RB, and RC for this beam. Also, dra...

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Q: Beam ABC is fixed at support A and rests (at point

Beam ABC is fixed at support A and rests (at point B) upon the midpoint of beam DE (see part a of the figure). Thus, beam ABC may be represented as a propped cantilever beam with an overha...

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Q: A propped cantilever beam has flexural rigidity EI = 4.5

A propped cantilever beam has flexural rigidity EI = 4.5 MN·m2. When the loads shown are applied to the beam, it settles at joint B by 5 mm. Find the reaction at joint B

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Q: A triangularly distributed load with a maximum intensity of qo = 10

A triangularly distributed load with a maximum intensity of qo = 10 lb/ft acts on propped cantilever beam AB. If the length L of the beam is 10 ft, find the reactions at A and B.

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Q: A fixed-end beam is loaded by a uniform load q

A fixed-end beam is loaded by a uniform load q = 15 kN/m and a point load P = 30 kN at mid span. The beam has a length of 4 m and modulus of elasticity of 205 GPa. (a) Find reactions at A and B. (b) C...

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