This Mohr’s circle calculator finds the principal stresses and the maximum shear stress from a 2D stress state. Enter the normal stresses and shear stress above.
Formulas
σ1,2 = (σx+σy)/2 ± √( ((σx−σy)/2)² + τ² ) τmax = √( ((σx−σy)/2)² + τ² )
Example
σx = 100, σy = 40, τ = 30 MPa: σ1 = 112.4, σ2 = 27.6, τmax = 42.4 MPa.
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Frequently Asked Questions
How do I use Mohr’s circle?
Compute the average normal stress and the radius from the stress difference and shear; the principal stresses are the average plus and minus the radius.
What is the maximum shear stress?
It equals the radius of Mohr’s circle: the square root of ((sigma-x minus sigma-y)/2) squared plus tau squared.
What are principal stresses?
They are the maximum and minimum normal stresses, acting on planes where shear stress is zero.