Enter the stress in the x direction, stress in the y direction, and shear stress into the calculator to determine the principal stresses.

## Principal Stress Formula

The following formula i used to calculate the two principal stresses.

- Where σ1,2 are the principal stresses
- σx is the stress in the x direction
- σy is the stress in the y direction
- τ is the shear stress

## Principal Stress Definition

Principal stress are defined as the maximum and minimum total stresses acting on an object at any given point.

## Principal Stress Example

How to calculate a principal stress?

**First, determine the normal stress.**Calculate the normal stress in the x and y directions along the plane of action.

**Next, determine the shear stress.**Calculate the shear stress in the x-y plane.

**Finally, calculate the principal stresses.**Calculate the principal stress (max and min) using the equation above.

## FAQ

**What is a principal stress?**

A principal stress is defined as the normal stress calculated at an angle where the shear stress in the plane is 0.