A single H$-$pile $($HP$-12)$ with the given dimensions below $($Fig$\mathrm{.}1)$ is driven $25$

$m$ into medium dense non cohesive soil, with $y=19k\frac{N}{m^3}$ and as soil friction

angle $\frac{O}{{?}^{\text{'}}}=30.$ Estimate the allowable point bearing capacity of the pile Qp

with each of the following methods for a factor of safety of $2$ and ignoring

skin friction. Note the the section acts as a full section.

a$.$ Meyerhof's method

b$.$ Vesic's method

Figure $1$