Engineering >> Civil & Environmental Engineering

Shear Force and Bending Moment in a Beam

by Janelle Wilcox

 

Submitted : Fall 2012


The objective of this paper is to find the shear force and bending moment of a beam as functions of x and illustrate these functions as diagrams. Since the problem statement only gives the function of the distributed load, it is first necessary to determine the reaction forces provided by the roller supports at both ends of the beam. Then, it is possible to determine the shear force function through integration of the distributed load. Lastly, the function of the bending moment is found through integration of the shear force. With shear force and bending moment diagrams it is easy to locate critical points at which the beam might fail. Designers and engineers need to examine the cross sectional area and the material at that point of the beam to determine if the beam is strong enough to bear the assessed load.


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Advisors :
Arcadii Grinshpan, Mathematics and Statistics
Scott Campbell, Chemical & Biomedical Engineering
Suggested By :
Scott Campbell