solve write code in mathlab make sure it works : Euler$-$Bernoulli Beam Bending.

out radius R$=0\mathrm{.}013$m and inner radius r$=0\mathrm{.}011$m$.$ A force, P$=2000$N$,$ is applied $0\mathrm{.}75$ m away from the left$-$hand edge.

The deflection, y$,$ in an Euler$-$Bernoulli beam is related to the bending moment, M$,$ as illustrated in the diagram above and Equation $1.$

EI$($d$^(2)$y$)/($dx$^(2))=$M$($x$)[1]$

depends on the location of the applied force as shown in Equation $2.$

M$($x$)=\{((-$P$($L$-$d$)$x$)/($L$)$ for xd$),((-$Pd$($L$-$x$))/($L$)$ for dxL$)$:$\}$

Additionally, due to the immovable supports on either end of the beam, we will enforce the two boundary conditions shown in Equation $3.$

y$|\_($x$)=0=0$ and y$|\_($x$)=$L$=0$

Part $($a$)$

lecture. Remember to enforce the boundary conditions at both endpoints, x$=0$ and x$=$L$.$

Part $($b$)$

boundary conditions. Note that our sign convention dictates that a downward$-$pointing force be denoted with a negative sign.

Part $($c$)$

occur?