A fixed-end beam of length L is loaded by a distributed load in the form of a cosine curve with maximum intensity qo at A. a) Use the fourth-order differential equation of the deflection curve to solve for reactions at A and B and also the equation of the deflection curve b) Evaluate the rotation at L/3 for L=2 m and qo= 20 kN/m

A fixed-end beam of length L is loaded by a distributed load in the form of a cosine curve with maximum intensity qo at A. a) Use the fourth-order differential equation of the deflection curve to solve for reactions at A and B and also the equation of the deflection curve b) Evaluate the rotation at L/3 for L=2 m and qo= 20 kN/m

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 9.4.2P: -2 A simple beam AB is subjected to a distributed load of intensity q(x) = q0sin x/L, where q0is...

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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

A fixed-end beam of length L is loaded by a distributed load in the form of a cosine
curve with maximum intensity qo at A.
a) Use the fourth-order differential equation of the deflection curve to solve for
reactions at A and B and also the equation of the deflection curve
b) Evaluate the rotation at L/3 for L=2 m and qo= 20 kN/m
|y
9o cos
2L
X-
A
В

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