Problem $3$

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

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

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

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

d$.(5$ POINTS$)$ Plot the influence line for the shear force at a point immediately to the left of the roller at D$,$ and mark its values.