Simple Stresses And Strains Formulas

Following are the formulas relating to simple stresses and strains.

• Simple Stress

\(Stress\space\ = \frac{force}{Area}\)

• Simple Strain

\(Strain\space\ = \frac{Increase\space\ in\space\ length}{Original\space\ length}\)

• Young’s Modulus of Elasticity

\(Young’s\space\ Modulus\space\ = \frac{Stress}{Strain}\)

• Poison’s Ratio

\(Posion’s\space\ Ratio\space\ =\frac{1}{m}\)

• Volumetric Strain

\(Volumetric\space\ Strain\space\ = \frac{Change\space\ in\space\ volume}{Original\space\ volume}\)

• Proportional Limit Stress

\(Proportional\space\ limit\space\ stress\space\ = \frac{Proportional\space\ limit\space\ stress}{Area}\)

• Ultimate Stress

\(Ultimate\space\ stress\space\ =\frac{Ultimate\space\ load}{Area}\)

• Actual Breaking Stress

\(Actual\space\ breaking\space\ stress\space\ = \frac{Breaking\space\ load}{Final\space\ area}\)

• Nominal Breaking Stress

\(Nominal\space\ breaking\space\ stress\space = \frac{Breaking\space\ load}{Original\space\ area}\)

• Percentage Elongation

\(Percentage\space\ Elongation\space\ =\frac{(Final\space length\space\ -\space\ Original\space\ length)\times 100}{Original\space\ length}\)

• Percentage Reduction 

\(Percentage\space\ reduction\space\ = \frac{(Original\space\ area\space\ -\space\ Final\space\ area)\times 100}{Original\space\ area}\)