Bending Stress Calculator

Bending Stress (σ):

Bending Moment (M):

Distance from Neutral Axis (y):

Moment of Inertia (I):

How This Is Calculated

$$ \sigma = \frac{My}{I} $$ where:

σ = Bending Stress (N/m² or Pa)

M = Bending Moment (Nm)

y = Distance from neutral axis (m)

I = Moment of inertia of the cross section (m⁴)

Assumptions

The material is linear elastic, i.e. it behaves according to Hooke's Law.
The material is homogeneous and isotropic.
The deformation of the beam is small, such that the geometry of the beam remains practically unchanged when under load.
The beam is under pure bending without axial or shear forces.

Related Calculators

Engineer's Bening Moment Equation

Euler's Buckling Load

Uniformly Distributed Load