# Elongation

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Elongation, abbreviated as E, is the increase in length to which a material is to be stretched prior to rupture.

## Elongation Formula

$$\large{ E = \frac{ F_a \; l_i }{ A_c \; \lambda} }$$
Symbol English Metric
$$\large{ E }$$ = elongation $$\large{in}$$  $$\large{mm}$$
$$\large{ F_a }$$ = applied force $$\large{lbf}$$ $$\large{N}$$
$$\large{ A_c }$$ = area cross-section $$\large{ft^2}$$ $$\large{m^2}$$
$$\large{ \lambda }$$  (Greek symbol lambda) = elastic modulus $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$
$$\large{ l_i }$$ = initial length $$\large{ft}$$ $$\large{m}$$