Mohr’s Circle Explained | Principal Stress, Maximum Shear & Complete Construction

Title Mohr’s Circle Explained | Principal Stress, Maximum Shear & Complete Construction Description Understand Mohr’s Circle for plane stress—from the stress-transformation equations to complete graphical construction and practical application. This animated engineering lesson connects the physical stress element with every corresponding point on Mohr’s Circle. Equations, diagrams, sign conventions and a numerical example are developed step by step. Topics covered: • Stress transformation on inclined planes • Derivation of the Mohr’s Circle equation • Centre and radius of the circle • Normal- and shear-stress sign conventions • Plotting stresses on perpendicular faces • Why physical angle θ becomes 2θ on Mohr’s Circle • Principal stresses and principal planes • Maximum in-plane shear stress • The 45° relationship between principal and shear planes • In-plane versus absolute maximum shear stress • Complete numerical construction in MPa • Stress on an arbitrary inclined plane • Pole method • Uniaxial, equibiaxial and pure-shear conditions • Opposite biaxial stresses • Resultant traction and angle of obliquity • Stress invariants and common mistakes