Calculator for Finding Principal Stress
 Principal Stress Calculator
 Formula Home Mechanics of Matl. Stress Strain Hooke's Law Applications Pressure Vessels Rosette Strain Gages Failure Criteria Calculators Stress Transform Strain Transform Principal Stress Principal Strain Elastic Constants Resources Bibliography
 Home Membership Magazines Forum Search Member Calculators
 Materials Design Processes Units Formulas Math
Calculator Introduction
Given the stress components sx, sy, and txy, this calculator computes the principal stresses s1, s2, the principal angle qp, the maximum shear stress tmax and its angle qs. It also draws an approximate Mohr's cirlce for the given stress state.

Inputs
 Normal Stress sx: Pa kPa MPa GPa psi ksi Normal Stress sy: Shear Stress txy:
Answers
 Maximum Normal Stress s1: 1.65  MPa Pa kPa MPa GPa psi ksi Minimum Normal Stress s2: -0.547  MPa Principal Angle qp: 32.9  deg rad deg Maximum Shear Stress tmax: 1.10  MPa Maximum Shear Angle qs1: 77.9  deg and qs2: -12.1  deg

The Mohr's circle associated with the above stress state is similar to the following figure. However, the exact loaction of the center sAvg, the radius of the Mohr's circle R, and the principal angle qp may be different from what are shown in the figure.

Equations behind the Calculator
The formulas used in this calculator are,

Further information can be found in the plane stress, Mohr's Circle, and the Mohr's Circle usage pages.

 Home  Membership  About Us  Privacy  Disclaimer  Contact  Advertise Copyright © 2013 eFunda, Inc.