QUESTION ONE $[40$ marks$]$

A two$-$span continuous flanged beam supports a slab of thickness $200mm$ as shown in Figure $1.$ The beam is loaded with unfactored dead load $($own weight not inclusive$)$ of $20k\frac{N}{m}$ and live load of $25k\frac{N}{m}.$

$1\mathrm{.}1$ Analyse the beam using moment distribution method. $($Ignore moment redistribution$).$

$1\mathrm{.}2$ Draw the shear force and the bending moment diagrams of the beam. $(5)$

$1\mathrm{.}3$ Design the midspan of span AB of the beam for flexure $($Ignore moment redistribution$).$

$1\mathrm{.}4$ Check the midspan of span $AB$ of the beam for deflection.

The following characteristics are applicable:

Fcu$=25$MPa;$Fy=450$MPa

Cover $=30mm$

Available reinforcements: Y$20$ and Y$10$ only

Figure $1$