Maxwell's reciprocal theorem states that, in a linear elastic structure, the displacement at point A due to a load at point B equals the
Correct answer: C. Displacement at point B due to a load at point A
- A. Stress at point B due to a load at point A
- B. Reaction at point A due to a load at point B
- C. Displacement at point B due to a load at point A
- D. Curvature at point B due to a load at point A
Explanation
The theorem makes the cross-displacements interchangeable when the structure is linear elastic and the loading is compatible with small deformation theory. Thus, displacement at A from a load at B equals displacement at B from the same type of load at A.
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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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