Can the beam's shear and moment diagrams be helpful in determining the maximum shear and moment in the beam?
Can the beam's shear and moment diagrams be helpful in determining the maximum shear and moment in the beam?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Can the beam's shear and moment diagrams be helpful in determining the maximum shear and moment in the beam?
Expert Solution
Step 1
The formula of the shear force of a beam is, .
Where '' is the bending moment of the beam. The maximum value of the bending moment is calculated by equating its differentiation to zero.
As the differentiation of the bending moment is shear force,
Therefore, the maximum value of the bending moment exists at a point where the shear force diagram changes its sign.
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