Answered: . Consider a cantilever beam of length…

. Consider a cantilever beam of length / loaded by a force P at the free end as shown. If the deflection is given by y y(x) y(x) = = P 6EI P (x³ - 31x²)

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 9.11.2P: A cantilever beam JA of length Land height/; (see figure) is subjected to a temperature change such...

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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

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1. Consider a cantilever beam of length / loaded by a force P at the free end as shown.
If the deflection is given by
y
y(x)
y(x) =
=
P
6EI
P
(x³ - 31x²)
Find the deflection and slope at the free end x =
= l.

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