alleryStart learning →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.
Keep practising Strength of Materials
Browse all Strength of Materials questions for B.Tech Civil, or explore more Civil Engineering topics.
Related questions
Modulus of elasticity for concrete (per IS 456):Yield strength of structural mild steel (IS 226):For a thin sphere under internal pressure p:For thin cylinder under internal pressure p (diameter d, thickness t):For pure shear (σ_x = σ_y = 0, τ_xy = τ), principal stresses are:Maximum shear stress occurs on planes oriented at ___ to principal planes:Principal planes are characterized by:Slenderness ratio of a column is: