Problem # $8$: Given a simply supported beam with the loading shown in the figure below determine the following values:

A$)$ Reactions at Supports A & D $=$ kips

B$)$ The maximum shear value $=$ kips and maximum bending moment $=$ kip$-$ft$.$

C$)$ Location of maximum moment is a distance of $$ ft$.$ from Support A$.$

D$)$ Assuming that the above beam is a W$1230$ wide$-$flange section, oriented as shown, and is made from ASTM A $992$ steel, calculate the maximum bending stress and shear stress resulting from the loading shown above and the allowable design bending and shear stresses:

Maximum bending stress $=$ psi

Maximum shear stress $=$ psi

Allowable beam bending stress $={}_{db}=$ psi

Allowable beam shear stress $={}_{ds}=$ psi

Please show steps and explain