RCD$3700$ MAJOR TEST $012023-$SEM $1$

QUESTION ONE

A continuous beam with a rectangular cross section is shown in Figure $1.$ The beam is $500$ deep and $250mm$ wide. No finishes are applied on the beam.

$1\mathrm{.}1$ Calculate the ultimate design load on the beam.

$1\mathrm{.}2$ Calculate the moments $($Ignore moment redistribution$)$ and shear values at the critical sections of the beam in the case where the ultimate load covers the entire length of the beam.

$1\mathrm{.}3$ Design the first internal support of the continuous beam for flexure.

$1\mathrm{.}4$ Check the first internal support of the continuous beam for shear.

$1\mathrm{.}5$ Check the near centre of end span of the continuous beam for deflection. $(8)$

Take $f_{cu}=30$MPa,$f_y=450$MPa, cover $=30mm,$ live load $=20k\frac{N}{m}.$ Use $Y10$ stirrups and Y$20$ main reinforcement.

Figure $1$

$[35$ marks$]$