A built-in beam ACB of span L carries a concentrated load Wat C a distance a from A and b from B. If the flexural rigidity of the beam is EI, use the principle of superposition to determine the support reactions. Ans. R, = Wb°(L+ 2a)/L², Ry= Wď°(L+26)/L², M, = Wab²IĽ, Mg = W&6/L² . %3D

A built-in beam ACB of span L carries a concentrated load Wat C a distance a from A and b from B. If the flexural rigidity of the beam is EI, use the principle of superposition to determine the support reactions. Ans. R, = Wb°(L+ 2a)/L², Ry= Wď°(L+26)/L², M, = Wab²IĽ, Mg = W&6/L² . %3D

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter10: Statically Indeterminate Beams

Section: Chapter Questions

Problem 10.4.19P: A triangularly distributed 1oad with a maximum intensity of q0= 10 lb/ft acts on propped cantilever...

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Concept explainers

Types of loading

In mechanical terminology, the term load indicates that external force/weight, either constant or variable, acts on a mechanical member/structure. The weight of an object of a specific material is also an external load, and the external force that works on a structure comes under the categories of loading. The external load generates its effects as stress and strain in the structure.

Question

A built-in beam ACB of span L carries a concentrated load W at Ca distance a from A and b from
B. If the flexural rigidity of the beam is EI, use the principle of superposition to determine the
support reactions.
Ans. Ra= Wb³(L+ 2a)/L³, Rg = Wa°(L + 2b)/L³, M,= Wab²IĽ², Mg= Wď 6|L².

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