PLO$3,$ CLO$3,$ C$5,$ WP$1,$ WK$3,$ WK$5,$ WK$6,$ WP$2,$ WP$3$

You are tasked to design $($PLO$3)$ the structural layout of a reinforced concrete $($RC$)$ canopy with dimension of $8m12m.$ Figure $1($a$)$ shows the layout with one secondary beam and Figure $1($b$)$ shows the layout with two secondary beams. These layouts require different thickness of slab $(h_f)$ due to different dimension of slab. By using fundamental $($WK$3)$ engineering knowledge $($WP$1,$ WK$5)$ and engineering practice $($WK$6),$ you are required to develop $($C$5)$ a computer program $($CLO$3)$ to optimize the number of secondary beams and $h_f.$ Since the optimization solution is not obvious $($WP$3),$ the computer program should report the findings to an Excel file based on the format given in the Appendix. For this purpose, you should consider wide range requirements $($WP$2)$ as follows: $-$

a$)$ Project Cost $=$ Volume of RC used $$ Unit Price of RC$.$ Unit Price of RC $=RM\frac{350}{m^3}$

b$)$ Volume of $RC$ used $=$ Volume of secondary beams $+$ Volume of slabs

c$)$ Size of secondary beam $=300mm700mm$

d$)$ To control deflection, $h_f\{\begin{array}{cc}\frac{L_x}{26},& L_x<mn>7</mn><mi>m</mi>\\ \frac{L_x}{26}(\frac{L_x}{7(m)}),& L_{x}7m\end{array},$ where $L_x=$ shorter side of slab

e$)$ To satisfy fire resistance by Fire and Rescue Department, $h_{f}80mm$

f$)$ To ease construction, $h_f$ should be in the multiple of $5mm.$

$($a$)$ Layout with one secondary beam

$($b$)$ Layout with two secondary beams

Figure $1$: Structural layouts

Appendix: Example of Report Output in Excel file

The optimum number of secondary beams is $\_\_,$ which results in project cost of RM

The short span of slab should be

The thickness of slab should be

m$.$

$m,$ to ensure the requirement of

$($Deflection$/$ Fire resistance$).$

Summary of Project Cost for different layout

$\backslash$table$[[\backslash$table$[[$Number of$],[$secondary$],[$beams$]],\backslash$table$[[L_x$