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Mechanical Engineering QUESTION #2502
Question 1
The relationship between the shear force \(V\) and bending moment \(M\) in a beam is:
  • \(V = \frac{d^2M}{dx^2}\)
  • \(M = \frac{dV}{dx}\)
  • \(V = \frac{dM}{dx}\)✔️
  • \(\frac{dV}{dx} = M\)
Correct Answer Explanation
From beam equilibrium: \(V = dM/dx\). This means the shear force equals the slope of the bending moment diagram. Similarly, \(dV/dx = -w\), where \(w\) is the distributed load intensity.