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Calculator Introduction
For a given stress state (sx, sy, and txy) and safety factor, this calculator applies the maximum normal stress criterion and Mohr's theory to check if the principal stresses exceed the given tensile strength (st) or compressive strength (sc).
Inputs
  Ultimate Tensile Strength st:    
  Ultimate Compression Stress sc:    
  Safety Factor:    
  Normal Stress sx:    
  Normal Stress sy:    
  Shear Stress txy:    
Answers
  Maximum Normal Stress s1:  12.0  MPa
  Minimum Normal Stress s2:  -10.0  MPa
  Principal Angle qp:  2.60  deg
  Maximum Shear Stress tmax:  11.0  MPa
  Maximum Shear Angle qs1:  47.6  deg
  and qs2:  -42.4  deg
 

For the given ultimate strength and safety factor 1, the current stress state is considered safe under the maximum normal stress criterion.

However, it is NOT safe according to Mohr's theory.

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

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