Force Exerted by Contracting or Stretching a Material

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Force Exerted by Contracting or Stretching a Material

Any strain exerted on a material causes an internal elastic stress.  The force applied on a material when contracting or stretching is related to how much the length of the object changes.

Force Exerted by Contracting or Stretching a Material Formula

\( F =    \frac { E A l_c  } { l_o  } \)          \( force \; exerted   \;=\;    \frac {  modulus \; of \; elasticity   \;\;x\;\;  cross-section \; area   \;\;x\;\;   change \; in \; length  } { origional \; length  } \)

Where:

\(F\) = force exerted

\(A\) = origional cross-section area through which the force is applied

\(E\) = modulus of elasticity

\(l_c\) = change in length

\(l_o\) = origional length

 

Tags: Equations for Force