CIVIL & STRUCTURAL ENGINEERING

Central point load deflection of simply supported beam

estimates the maximum deflection of a simply supported beam when subjected to a concentrated load in the mid-span.

δmax⁡=PL348EI\delta_{\max}=\frac{PL^3}{48EI}

symbols, variables and units

P:N;L:m;E:Pa;I:m⁴;δ:m。

applicable conditions and boundaries

Euler–Bernoulli beam of constant cross-section, small deflection; shear deformation ignored.

formula source code

The following is a copyable LaTeX expression.

\delta_{\max}=\frac{PL^3}{48EI}

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.

beam deflectiondeflection

Same subject formula

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