Calculator for Finding Principal Stress
engineering fundamentals Principal Stress Calculator
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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.

  Normal Stress sx:    
  Normal Stress sy:    
  Shear Stress txy:    
  Maximum Normal Stress s1:  1.65  MPa
  Minimum Normal Stress s2:  -0.547  MPa
  Principal Angle qp:  32.9  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,

Principal Angle

Principal Stresses

Maximum Shear Stress

Maximum Shear Angle

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

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