Type the stresses σx, σy and τxy of a differential element and instantly get Mohr's circle, the principal stresses, the maximum shear and the stresses on the element rotated to any angle. It also works the other way round: build the circle (from σ1, σ2 and θp, or by dragging the center and point X) and get the x–y element. Includes a detailed step-by-step solution with the derivation of the transformation equations.
It is the graphical form of the plane-stress transformation equations: every point of the circle gives the normal and shear stress on one face of the rotated element.
They are C ± R, with center C = (σx + σy)/2 and radius R = √[((σx − σy)/2)² + τxy²]; their orientation comes from tan 2θp = 2τxy/(σx − σy).
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