Assignment $-$ Consider the beam shown below.

This is a continuation of the Ch $3$ assignment. The correct moment function is

$M(x)=-0\mathrm{.}91($:$x-0$:${)}^1-2($:$x-1\mathrm{.}2$:${)}^1+6\mathrm{.}91($:$x-2\mathrm{.}2$:${)}^1-4($:$x-3\mathrm{.}2$:${)}^1$

Integrate once to get the slope function, $(x).$ Integrate again to get the deflection function, $y(x).$ Use appropriate boundary conditions to evaluate the constants of integration.

Use increments of $0\mathrm{.}1[$m$]$ along the length of the beam. Plot the slope function along the length of the beam. Plot the deflection function along the length of the beam. Use Excel or MATLAB to plot the slope and deflection diagrams. Hand$-$drawn plots are not acceptable. Evaluate the functions at $0\mathrm{.}1[$m$]$ increments along the beam and plot values only at those locations. $($Your plots will be a series of dots, not continuous lines.$)$

Use $209[$GPa$]$ for Young's Modulus and $4\mathrm{.}2{10}^{-7}[m^4]$ for moment of inertia.