For an elastic beam governed by the Euler-Bernoulli theory, which relation gives the curvature at a section?
Correct answer: A. Curvature equals M divided by EI
- A. Curvature equals M divided by EI
- B. Curvature equals EI divided by M
- C. Curvature equals V divided by EI
- D. Curvature equals M divided by EA
Explanation
Euler-Bernoulli beam theory relates curvature to bending moment through M divided by EI, where E is Young's modulus and I is the second moment of area. Shear force V is not the direct numerator of this bending curvature relation.
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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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