A rectangular reinforced concrete beam has a cross$-$section dimensions $b=400mm$ and overall depth $h=800mm.$ The beam as shown in the image below carries a superimposed dead load of $12k\frac{N}{m}($excluding the self$-$Weight of the beam$)$ and specified live load of $20k\frac{N}{m}.$ The beam has a compressive strength of $30$Mpa and reinforcement yield strength of $400$Mpa.

a$)$ What is the self weight of the beam?

b$)$ What is the modulus of elasticy and yeild strain of reinforcement $($

c$)$ Draw the factored shear force and bending moment diagram for all loads including but not limited to self weight of the beam I

d$)$ What is the concrete cover for the beam for exposure class of C$-1?\text{'}.$

e$)$ Considering $2$ layers of $4-20M$ reinforcement and $10M$ ties around the the $20M$ reinforcement and the clear distance between the two layer of reinforcement is $35mm,$ what is the effective depth? What is the reinforcement ratio?

f$)$ Design the section for Maximum positive bending moment using $35M$ reinforcement size in $1$ layer only that are tied to the stirups, such that resistant moment capacity is at least $10\%$ higher than demand. Use the clear cover from part $d$ of the question.

g$)$ Design the section for Maximum negative bending moment using $35M$ reinforcement size in $1$ layer only that are tied to the stirups, such that resistant moment capacity is at least $10\%$ higher than demand. Use the clear cover from part $d$ of the question.

h$)$ Draw the reinforcement arrangement for both cross$-$sections $($Maximum positive and Maximum Negative$)$ and also across the beams length