b$=900$mm$,$ bw$=300$mm$,$ h$=600$mm$,$ hf$=120$mm$,$ d$=40$mm

Material: C$30/$B$420$C

g$=30$kN$/$m$,$ q$=20$kN$/$m L$=5\mathrm{.}6$m

For the simply supported reinforced concrete beam in the figure

a$)$ Determine the pd calculation load.

b$)$ Draw the bending moment diagram. $($Indicate the sign according to the viewing direction$)$

c$)$ Calculate the required reinforcement area with balance equations based on the equivalent rectangular stress distribution. Calculate the reinforcement ratio $\backslash$rho $=$As$/($bwd$)$ and check the condition $\backslash$rho minrho Select the appropriate number and diameter of reinforcement.

d$)$ Determine the required reinforcement area using the table and ABAK booklet. Evaluate whether it is close to the result in part c$.$

e$)$ Draw the reinforcement sketch based on the reinforcement you found in option c$.($You can make the drawing on the schematic drawing below$)$