# Bulk Modulus

Bulk modulus, abbreviated as B or K, also known as bulk modulus elasticity, is the elastic relationship between an applied pressure that acts to change the volume of the substance and the ability of a substance to withstand changes in volume when under compression.

### Bulk Modulus Formula

\(\large{ K = p\; \frac {V_i}{ V_c} }\)

Where:

\(\large{ K }\) = bulk modulus

\(\large{ V_c }\) = change in volume

\(\large{ V_i }\) = initial volume

\(\large{ p }\) = pressure

Solve for:

\(\large{ V_c = \frac {p \; V_i}{ K} }\)

\(\large{ V_i = K\; \frac {V_c}{ p} }\)

\(\large{ p = K\; \frac {V_c}{ V_i} }\)

Tags: Equations for Pressure Equations for Strain and Stress Equations for Modulus