CIVIL & STRUCTURAL ENGINEERING

Euler buckling load

Estimate the critical axial force for instability of an ideal slender pressure rod.

Pcr=π2EI(KL)2P_{cr}=\frac{\pi^2EI}{(KL)^2}

symbols, variables and units

P_cr: N; E: Pa; I: weak axis m⁴; L: m; K: effective length coefficient.

applicable conditions and boundaries

Ideal straight rod, elastic, small initial defects; not applicable to short columns and inelastic buckling.

formula source code

The following is a copyable LaTeX expression.

P_{cr}=\frac{\pi^2EI}{(KL)^2}

Reference and Extended Learning

MIT OpenCourseWare · Mechanics and Materials ↗

is organized according to model definition and assumptions. Please check actual conditions and original literature before engineering, research and clinical use.

Euler bucklingBuckling

Same subject formula

Go to Free Science Tool Library ↗