Principal Stress Calculator
Calculate maximum and minimum normal stresses.
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Enter normal stresses and shear stress to find principal stresses.
- Enter stress components.
- Read the result. Shows both principal stresses, max shear, and rotation angle.
About the Principal Stress Calculator
Principal stresses are the maximum and minimum normal stresses at a point, occurring on planes where shear stress is zero. They are found by rotating the stress element to eliminate shear, which is equivalent to finding eigenvalues of the stress tensor. Principal stresses are essential for failure analysis and design.
Frequently Asked Questions
What are principal stresses?
Principal stresses are the maximum and minimum normal stresses at a point in a loaded body. They act on planes where shear stress is zero.
How do principal stresses relate to failure?
Most failure theories compare principal stresses to material strength. Maximum principal stress theory is used for brittle materials. Von Mises (which uses all principal stresses) is used for ductile materials.
What is the principal angle?
The principal angle is the rotation from the original coordinate system to the orientation where principal stresses act. It is measured from the x-axis.