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Relationship between shear force V and bending moment M along beam length:
AV = dM/dx (shear force is rate of change of moment)
BV × M = constant
CV = M
DNo relation
Answer & Solution
Correct answer: A. V = dM/dx (shear force is rate of change of moment)
From equilibrium: V = dM/dx, and dV/dx = -w (load intensity). Hence: where SF=0, BM is maximum/minimum (extremum). Where shear changes sign, BM has local max/min. SF and BM diagrams are intimately related — a key tool for beam analysis.
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