Stress

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

stressStress, abbreviated as \(\sigma \) (Greek symbol sigma), is the force per unit area of cross-section.  The maximum stress of a material before it breaks is called breaking stress or ultimate tensial stress.

 

stress formula

\(\large{ \sigma = \frac{F}{A_c} }\) 

Where:

 Units English Metric
\(\large{ \sigma }\)  (Greek symbol sigma) = stress \(\large{\frac{lbf}{in^2}}\) \(\large{MPa}\)
\(\large{ A_c }\) = area cross-section \(\large{ ft^2}\) \(\large{ m^2}\)
\(\large{ F }\) = force \(\large{ lbf }\) \(\large{N}\)

Solve For:

\(\large{ A_c = \frac{ F }{ \sigma } }\)   
\(\large{ F = \sigma \; a_c  }\)   

 

Related Stress formulas

\(\large{ \sigma = \lambda \; \epsilon }\)   (elastic modulus
\(\large{ \sigma = E \; \epsilon }\)   (Young's modulus

Where:

\(\large{ \sigma }\)  (Greek symbol sigma) = stress

\(\large{ \lambda }\)  (Greek symbol lambda) = elastic modulus

\(\large{ \epsilon }\)  (Greek symbol epsilon) = strain

\(\large{ E }\) = Young's modulus

 

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Tags: Equations for Strain and Stress Equations for Soil Equations for Hoop Stress