Note: I recommend you to use NSCP $2015$ to answer this question

or you can use ACI $318$

A reinforced concrete beam has a width of $400$ mm and an overall depth of $600$ mm $.$ The beam is simply supported over a span of

$5\mathrm{.}0$ m $.$ Steel strength fy $=420$MPa and concrete strength f$^(\text{'})$c$=35$MPa. Concrete cover is $70$ mm from the centroid of the steel area. Compressive reinforcement $($if necessary$)$ will be placed at d$=70$mm$.$ The unit weight of concrete is $23\mathrm{.}6$kN$//$m$.$ Other than the weight of the beam, the beam carries a superimposed dead load of $75$kN$//$m and a live load of $55$kN$//$m$.$ In addition, the beam also carries a concentrated dead load of $50$ kN and concentrated live load of $85$ kN at midspan. Use d$=28$mm$,$ and d$=28$mm$.$

a$.)$ Determine the maximum number of tension bars.

b$.)$ Determine the minimum number of tension bars.

c$.)$ What is the required design strength for the beam?

d$.)$ Determine the required number of tension bars.

e$.)$ Determine the required number of compression bars, if necessary.