Beam Bending Stress

Written by Jerry Ratzlaff on . Posted in Structural Engineering

sagging hoggingbending stress 1Beam bending stress, abbreviated as \(\sigma \) (Greek symbol sigma), also called flexure, is when a beam is subjected to a load along it's length axis with stress applied perpendicular to the axis.

 

Beam Bending Stress formula

\(\large{ \sigma_b = \frac{M \; y}{I} }\)   

Where:

 Units English Metric
\(\large{ \sigma_b }\)  (Greek symbol sigma) = bending stress \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ M }\) = moment about the neutral axis \(\large{\frac{lbf}{sec}}\) \(\large{\frac{kg-m}{s}}\)
\(\large{ y }\) = perpendicular distance to the neutral axis \(\large{in}\) \(\large{mm}\)
\(\large{ I }\) = second moment of area about the neutral axis (moment of inertia) \(\large{in^4}\) \(\large{mm^4}\)

 

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Tags: Strain and Stress Equations Structural Steel Equations Beam Support Equations Welded Stress and Strain Equations