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 formula

$$\large{ k = \frac{A\;E}{l} }$$

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

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

Where:

$$\large{ k }$$ = stiffness

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

$$\large{ A }$$  (Greek symbol alpha) = cross-section area

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

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