Structural Mechanics

Three equilibrium states · Two types of buckling · Engineering examples · Snap-through · Local buckling

Static method · Energy method · Stationary-potential principle · Two-DOF example via both methods

Deflection ODE $EIy''=-M$ · Length factor $\mu$ · Euler formula $F_{\mathrm{Pcr}}=\pi^{2}EI/(\mu l)^{2}$ · Frame sway · Stepped column

Ritz method · Displacement series $y=\sum a_{i}\varphi_{i}(x)$ · Stationary potential $\partial E_{\mathrm P}/\partial a_{i}=0$ · Ex. 11-5 four-function accuracy study

Laced · Battened · Shear-deformation correction · Equivalent slenderness $\lambda_{0}=\sqrt{\lambda_{x}^{2}+\lambda_{1}^{2}}$

Slope-deflection with axial force · Correction factors $\xi_{1},\eta_{1}$ · Finite-element method · Stability eq. $|\boldsymbol{K}+\boldsymbol{K}_{G}|=0$