Problem $2$

Consider the following structure, where $\backslash ($ P $\backslash )$ is a live load moving along AC$.$

a$.(10$ POINTS$)$ Plot the influence line for $\backslash ($ A$\_\{$y$\}\backslash ),$ the vertical reaction force at A $,$ and mark its values.

b$.(10$ POINTS$)$ Plot the influence line for the shear force at point $\backslash (\backslash$mathrm$\{$E$\}\backslash$left$($V$\_\{$E$\}\backslash$right$)\backslash )$ and mark its values.

c$.(10$ POINTS$)$ Plot the influence line for the internal moment at point $\backslash (\backslash$mathrm$\{$E$\}\backslash$left$($M$\_\{$E$\}\backslash$right$)\backslash ),$ and mark its values.

d$.(5$ POINTS$)$ Determine the maximum moment at E if there are two live loads of magnitude P each. These loads are separated by a distance of at least L$/4.$