A beam extends over a simple span of $7m.$ The beam supports $N{O}_{?}$ service dead load other than

its self$-$weight.

The beam has $b=80cm$ and $h=35cm.$

a$)(10$ points$)$ Ignoring all factors of safety, determine the uniformly distributed live load

that will break the beam if it is not reinforced. You must consider self$-$weight.

b$)(20$ points$)$ Considering the strength method factors of safety, determine the ultimate

uniformly distributed live load that the beam can support if it is reinforced with $730$

tension bars and $1020$ compression bars, with $10$ stirrups. You must consider self$-$

weight.

c$)(10$ points$)$ Determine $A{s}_{\text{m}\text{a}\text{x}}$ for the beam when it is reinforced with $1020$

compression bars with $30$ tension bars and $10$ stirrups. Determine the area only, not

the number of bars.

Use $f{c}^{\text{'}}=28$MPa,$fy=420$MPa, and ${}_{\text{c}\text{o}\text{n}\text{c}\text{r}\text{e}\text{t}\text{e}}=24k\frac{N}{m^3}.$