Max Shear Stress Calculator

Calculate Max Shear Stress





Formula

The formula to calculate the maximum shear stress (τ) is:

\[ \tau = \frac{F \cdot r}{J} \]

Where:

Definition

Example

Let's say the force (F) is 500 newtons, the radius (r) is 0.05 meters, and the polar moment of inertia (J) is 0.0001 meters to the fourth power. Using the formula:

\[ \tau = \frac{500 \cdot 0.05}{0.0001} \]

We get:

\[ \tau = 250000 \, \text{N/m²} \]

So, the maximum shear stress is 250,000 N/m².