Engineering Board Exam Reviewer · Strength of Materials · medium

The relationship between shear force V and bending moment M along a beam is:

1. dV/dx = M
2. M = V at every section
3. dM/dx = V; the slope of the moment diagram equals the shear force
4. dM/dx = -w, where w is the distributed load

Answer

C. dM/dx = V; the slope of the moment diagram equals the shear force

Solution

Differentiating the moment with respect to position gives the shear force, so the moment is maximum where the shear force passes through zero.

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