Bending Stress Calculator

Formula

The formula to calculate Bending Stress is:

\[ \sigma = \frac{M \cdot y}{I} \]

Where:

\( \sigma \) is the Bending Stress (Pa)
\( M \) is the Bending Moment (Nm)
\( y \) is the Vertical Distance from the Neutral Axis (m)
\( I \) is the Moment of Inertia (m^4)

Bending Stress Definition

Bending stress is stress along the length of an object that arises from a bending force. It is calculated using the bending moment, the vertical distance from the neutral axis, and the moment of inertia about the neutral axis.

Example Calculation

Let's consider an example:

Bending Moment (M): 500 Nm
Vertical Distance from Neutral Axis (y): 0.05 m
Moment of Inertia (I): 0.0001 m^4

Using the formula to calculate Bending Stress:

\[ \sigma = \frac{500 \times 0.05}{0.0001} = 250,000 \, \text{Pa} \]

This demonstrates that with a bending moment of 500 Nm, a vertical distance from the neutral axis of 0.05 m, and a moment of inertia of 0.0001 m^4, the bending stress would be 250,000 Pa.