$($a$)$ For a beam element having nodal degrees of freedom $(W_1{}_1{W}_2$

${}_2)$ find the stiffness equation $K$ using the following Hermitian

shape functions:

$[N]=[1-\frac{3x^2}{L^2}+\frac{2x^3}{L^3},x-\frac{2x^2}{L}+\frac{x^3}{L^2},\frac{3x^2}{L^2}-\frac{2x^3}{L^3}-\frac{x^2}{L}+\frac{x^3}{L^2}]$

Eq$.$ Q$1$a