Von Mises Stress Calculator

Calculate Von Mises Stress





Formula

The formula to calculate the Von Mises Stress (V) is:

\[ V = \sqrt{\sigma_x^2 - (\sigma_x \cdot \sigma_y) + \sigma_y^2 + (3 \cdot \tau_{xy}^2)} \]

Where:

Von Mises Stress Definition

A von Mises stress is a measure of the total overall stress acting on a material, including normal stress in the x and y directions as well as the shear stress. It is used to predict yielding of materials under complex loading conditions.

Example Calculation

Let's consider an example:

Using the formula to calculate the Von Mises Stress:

\[ V = \sqrt{50^2 - (50 \cdot 30) + 30^2 + (3 \cdot 20^2)} \approx 55.68 \, \text{MPa} \]

This demonstrates that with normal stresses of 50 MPa and 30 MPa, and a shear stress of 20 MPa, the von Mises stress would be approximately 55.68 MPa.