Problem $4$: For the cantilever beam given below use the Double Integration Method to determine:

a$)$ The displacement function $v(x)$ in terms of $x,L,w,E,$ and I. Clearly state the boundary conditions used to solve the constants of integration.

b$)$ The maximum displacement at the free end given the input values below.

c$)$ Draw the elastic curve $($displaced shape$)$

Input: E$=29000$ ksi, I$=4000$in ${?}^4,L=240in,w=0\mathrm{.}1\frac{k}{i}n$