Question
Download Solution PDFWhich of the following is correct relation between shear force (F) and bending moment (M)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
a) In a bending beam, a point of contra flexure is a location where the bending moment is zero (changes its sign). In a bending moment diagram, it is the point at which the bending moment curve intersects with the zero lines.
- At the point of contra flexure, the bending moment is zero.
b) The rate of change of bending moment at any section is equal to the shear force at that section.
- \(\frac{{dM}}{{dx}} = F \Rightarrow dM = Fdx \Rightarrow M = \smallint Fdx\)
c) The rate of change of shear force at any section is equal to load intensity at that section.
- \(\frac{{dF}}{{dx}} = \omega \Rightarrow dF = \omega dx \Rightarrow F = \smallint \omega dx\)
d) For bending moment to be maximum or minimum, shear force should change its sign.
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