Q$3.($i$)$ A simply supported rectangular reinforced concrete beam has a span of $6m$ and a

cross$-$section as shown in Fig Q$3.$ Determine the maximum variable action that the

beam can carry assuming the action is:

$($a$)$ uniformly distributed

$($b$)$ occurs as two point loads, $2m$ and $4m$ from the left hand support.

Assume $f_{ck}=30\frac{N}{m}{m}^2,f_y=500\frac{N}{m}{m}^2,$ the main steel is inset $40mm$ and that the

density of reinforced concrete is $25k\frac{N}{m^3}.$ List any assumptions that you make.

$($ii$)$ If the beam was reinforced with $4H25s$ instead, determine the maximum variable

uniformly distributed action that the beam can support. $($ SOLVE ACCORDING TO EUROCODE $2)$