Meet the Mohr's Circle Calculator — Principal Stresses

What is the Mohr's Circle Calculator — Principal Stresses?

Mohr's circle is the graphical way to understand how the stress at a point changes with the orientation of the plane you look at. Enter the normal stresses σx and σy and the shear stress τxy (in any consistent units, usually MPa) and this calculator gives the principal stresses σ₁ and σ₂, the angle of the principal planes, the maximum in-plane shear stress, the planes where it acts, the average stress (centre of the circle), and the stress components on any plane you choose at an angle θ — and draws the circle with points X and Y, the principal stresses, τmax and your chosen plane.

For failure checks it also reports the von Mises equivalent stress and the Tresca (maximum shear) equivalent for plane stress, the absolute maximum shear stress including the zero out-of-plane stress, and the safety factor against a yield strength you provide. A built-in check confirms σx + σy = σ₁ + σ₂, and the textbook example σx = 80, σy = −40, τxy = 30 MPa gives σ₁ = 87.08, σ₂ = −47.08, θp = 13.28° and τmax = 67.08 MPa.