In elastic structural analysis, the strain energy stored in a member under gradually applied loading is equal to
Correct answer: B. The area under its load-displacement curve
- A. The product of load and final displacement only
- B. The area under its load-displacement curve
- C. The maximum bending moment divided by span
- D. The support reaction multiplied by member length
Explanation
For gradually applied load in a linear elastic system, strain energy equals the work done by the load, represented by the area under the load-displacement curve. For a single load, this becomes one-half of the load multiplied by the final displacement, not the full product.
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About Structural Analysis
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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