$(4\mathrm{.}2)$ For the following particle size distribution, calculate the efficiency of a Lapple standard

conventional cyclone with a body diameter of $0\mathrm{.}50$ meters. The particulate density

${}_p=1200k\frac{g}{m^3},$ the gas density ${}_g=0\mathrm{.}90k\frac{g}{m^3},$ the gas viscosity $=0\mathrm{.}06k\frac{g}{m}-hr,$ and

the inlet gas velocity $V_i=25\frac{m}{s}.$

Question $2$

The reinforced concrete beam in the figure has a span $l=7m$ and a cantilever length $lo=2$ m $,$ T$-$cross$-$section with $b_w=250mm,b_{\text{e}\text{f}\text{f}}=2\mathrm{.}0m,hr=150mm,$ and $h=600mm($assume effective depth $d$~~$550).$ It is subjected to a permanent load of $22k\frac{N}{m}($including the Self weight of the beam$)$ and a live load $q=8k\frac{N}{m}.$ The selected concrete class is MPa $)$ and the steel grade is B$500(f_{yl}=500$MPa $).$

$($i$)$ Calculate the bending moment in the span for the most critical load case of the ULS combination and design for flexure the beam span, selecting appropriate steel bars.

$[30$ Marks$]$

$($ii$)$ Calculate the bending moment at the beam support for the most critical load pattern of the ULS combination and design for flexure the support section, selecting appropriate steel bars. Provide a sketch of the support cross$-$section, showing all pertinent reinforcement.