\[\kappa=\frac{1}{R}\]
Variables
kappa[κ]beam curvature (1/m)
Rradius of curvature (m)
Description
What is this formula?
Beam curvature is a measure of how rapidly a beam bends. It is defined as the reciprocal of the radius of curvature of the beam's neutral axis.
When to use it
Use this formula in structural mechanics, beam theory, and deflection analysis whenever the curvature of a structural member must be determined from its geometry or deformation.
Example
A steel beam bends with a radius of curvature of 40 m.
Data:
R = 40 m
Formula:
κ = 1 / R
Substitution:
κ = 1 / 40
Result:
κ = 0.025 1/m
Applications
Beam deflection analysis, structural design, bridge engineering, elastic bending theory, finite element modeling, and strain calculations.