$(38$ pts$)($LO$3,$ LO$4$ & LO$5)$

a$)$ Determine the reactions at supports $A($pin$)$ and $D($roller$).$

b$)$ Write functions for shear force $(V)$ in terms of $x$

$(5$pts$)$

c$)$ Write functions for bending moment $(M)$ in terms of $x.$

$(9$pts$)$

d$)$ Draw Shear Force Diagram $($SFD$)$ for whole beam

$(9$pts$)$

e$)$ Draw Bending Moment Diagram $($BMD$)$ for whole beam

$(6$pts$)$

f$)$ Determine the maximum moment $M_{\text{m}\text{a}\text{x}}$ with its location

$(6$pts$)$

$(3$pts$)$