How does bending stress distribution differ in curved beams compared to straight beams?

In curved beams, stress distribution is hyperbolic, not linear. The neutral axis shifts toward the center of curvature, and maximum stress occurs at inner fibers (higher than straight beam theory predicts). Use σ = M(R - rn)/(Ae × rn × r) where rn is neutral axis radius, A is area, and e is eccentricity. Stress at inner radius can be 1.5-2 times higher than straight beam prediction. Critical for crane hooks, C-clamps, and chain links.