For a beam segment without a distributed load, the relationship between bending moment M and shear force V is
Correct answer: D. dM/dx = V
- A. dV/dx = minus M squared
- B. dV/dx = M
- C. dM/dx = minus V squared
- D. dM/dx = V
Explanation
With the usual beam sign convention, the derivative of bending moment with respect to position equals the shear force, dM/dx = V. A distributed load causes the shear to vary, but when no distributed load acts, the shear remains constant over the segment.
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Structural analysis determines how beams, frames, trusses and arches carry loads through reactions, shear forces, bending moments, axial forces and deflections. It covers free-body diagrams, equilibrium equations, determinacy, influence lines and methods such as slope deflection, moment distribution and virtual work, while distinguishing analysis of a structure from its design.
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