Answered: Show that the maximum deflection in a…

Show that the maximum deflection in a simply supported beam of length L carying a uniformly distributed load of intensity w applied over its entire length is

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter9: Deflections Of Beams

Section: Chapter Questions

Problem 9.9.7P: The cantilever beam A CB shown in the hgure is subjected to a uniform load of intensity q acting...

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Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

Show that the maximum deflection in a simply supported beam of length L carying
a uniformly distributed load of intensity w applied over its entire length is
5wL*
Ely =
384
LI2-
L/2

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