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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.

Essentials of Manufacturing

Information, coverage of important developments and expert commentary in manufacturing.

STEM Career Outlook

Wages, employment opportunities, and growth projections for STEM jobs.

Selecting the Right 3D Printer

Discover how to choose the right 3D printer for your needs and the key performance attributes to consider.

Metal 3D Printing Design Guide

Direct Metal Laser Sintering (DMLS) 3D printing for parts with reduced cost and little waste.