Finally the expression for the dimensionless hydrostatic pressure ( is the bulk modulus) is obtained as,

(11.20)

Thus the expression for pressure is a function of . However, let's say we are considering a nearly incompressible material, so that at , ,

Then,

By substituting the above expression in 7.20, we obtain

(11.21)

Now we integrate equation 7.21 to obtain the dimensionless compressive force,

(11.22)

Expanding in series, we have

So that, equation 7.22 turns to

(11.23)

Considering only the first term in the above equation and noting that the dimensionless load is given as, , we obtain an expression for force on as,

(11.24)

Hence for an incompressible material, so that,

At ,