Axial Stiffness

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Axial stiffness, abbreviated as k, is the ratio of the axlal load to axial deflection.  An axial load happens when a force is applied parallel to the axis of another object.

Axial Stiffness Formulas

 $$\large{ k = \frac{A_c\;E}{l} }$$ $$\large{ k = \frac{F\;A_c\;E}{F\;l} }$$ $$\large{ k = \frac{F}{ \frac{F\;l}{A_c\;E} } }$$

Where:

$$\large{ k }$$ = stiffness

$$\large{ F }$$ = applied force

$$\large{ A_c }$$ = area cross-section

$$\large{ E }$$ = Young's modulus

$$\large{ l }$$ = length of object