alleryStart learning →Differential equation of elastic curve (Euler-Bernoulli):
ANo equation
BEI d²y/dx² = M (where y = deflection, M = bending moment)
CEI = M
Dy = M
Answer & Solution
Correct answer: B. EI d²y/dx² = M (where y = deflection, M = bending moment)
**Beam deflection:** EI(d²y/dx²) = M(x).
Integrate twice (using boundary conditions) to get y(x).
**Methods:** double integration, Macaulay's method (for multiple loads), moment-area, conjugate beam, virtual work, Castigliano.
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