Advertisement

Bulk modulus calculator

Solve bulk modulus, pressure rise, volume change, initial volume or volumetric strain using signed compression.

Calculator

Bulk modulus
1,000,000
Pressure rise
1,000
Signed volume change
-0.001
Initial volume
1
Volumetric strain
-0.00100000
Scientific notation
QuantityValue in stated units
Bulk modulus (Pa)1.00000000e+9

Advertisement

How this calculator works

Bulk stiffness relates a pressure increase to a reduction in volume. Enter volume change as final volume minus initial volume, so compression is negative. The secant relation assumes a nearly constant bulk modulus over a small pressure interval. Pressure here is a change, not an absolute pressure.

Formula

B = -Delta p / (Delta V / V0); volumetric strain = Delta V / V0.

Worked example

A pressure rise of 2 MPa compressing 1 m3 by 0.001 m3 gives B = 2 GPa. A 1 MPa rise in the same material gives a volume change of -0.0005 m3.

Advertisement

Frequently asked questions

Why is there a minus sign?

A positive pressure rise normally produces a negative volume change, while bulk modulus remains positive.

Can I use this for a gas?

Only over a small interval with the correct isothermal or adiabatic modulus for that process.

Is strain a percentage?

The result is a dimensionless fraction. Multiply it by 100 to express percent.

Sources

Advertisement