Euler-Bernoulli beam: EI·d⁴w/dx⁴=q(x); σ=M·y/I; I_rect=b·h³/12

Layer 3 — Biologyin the biomechanics subtree

Euler-Bernoulli beam framework — the canonical 4th-order PDE model of slender-beam bending used throughout orthopaedic biomechanics for long-bone bending, tendon buckling, and osteon-scale stress analysis (Euler 1744; Bernoulli 1776;…

Related concepts

Partial differential equation (PDE)
Beam: I_rect=b·h³/12; σ_max=6·M/(b·h²); w_cant=P·L³/(3EI); P_cr=π²·EI/L²

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