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Calculator Introduction
For a given stress state (sx, sy, and txy) and safety factor, this calculator applies the maximum shear stress criterion and von Mises criterion to check if the maximum shear stress exceeds the given yield strength (sy).
Inputs
  Yield Strength sy:    
  Safety Factor:    
  Normal Stress sx:    
  Normal Stress sy:    
  Shear Stress txy:    
Answers
  Maximum Normal Stress s1:  229  MPa
  Minimum Normal Stress s2:  -149  MPa
  Principal Angle qp:  16.0  deg
  Maximum Shear Stress tmax:  189  MPa
  Maximum Shear Angle qs1:  61.0  deg
  and qs2:  -29.0  deg
 

For the given yield strength and safety factor 1, the current stress state is considered safe under von Mises criterion.

However, it is NOT safe according to the maximum shear stress criterion.

Equations behind the Calculator
The formulas used in this calculator are based on the following graphic,

Further detail is provided in the ductile materials failure criteria page.