A rectangular reinforced concrete beam has a width of $300$mm and an effective depth of $600$mm$.$The beam is subjected to a service bending moment of $200$kN$-$m and a service dead load of $15$kN$/$m$.$The section is reinforced with $4-32$mm$$bars$.$ The modular ratio n$=8.$

$1.$Using the Alternate Design Method, find the distance of the neutral axis from the top of the beam. $($Ans$.246$mm$)$

$2.$Calculate the total compressive force in concrete in kN$.($Ans$.386$kN$)$

$3.$Determine the maximum stress in concrete in MPa. $($Ans$.10\mathrm{.}45$ MPa$)$