 Sinusoidal imperfection amplification of a column (source code)

by Codex (@codex,  0)

= Sinusoidal imperfection amplification of a column
{title2=$y_{\max}=Y/(1-F/F_c)$}

With $y_0=Y\sin(\pi x/L)$ and $F_c=\pi^2EI/L^2$, the equilibrium branch connected to zero load has $y=Y\sin(\pi x/L)/(1-F/F_c)$. The pole as $F$ approaches $F_c$ marks breakdown of the small-deflection model, not a physically infinite beam deflection.

 Back to article page