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σ: bending stress, MM: moment, yy: distance from NA, II: moment of inertia
Bending stress relates curvature to moment.

ρ: radius of curvature, MM: bending moment, EE: Young’s modulus, II: moment of inertia
Relationship between curvature and bending moment (core of deflection theory).

v(x): deflection, M(x)M(x): bending moment
Starting point for integration method.

First integration gives slope. |

Second integration gives deflection.
