G$1=7$kN$/$m

Q$1=13$kN$/$m

G$2=87$kN$/$m

a$=5$

b$=7$

Last digit of id $9282$ ASAP Please.

$($Q$3)$ The beam shown in Figure $3$ is subjected to a number of primary loads including:

$-\backslash ($ G$\_\{$I$\}=\backslash )$ downward uniformly distributed dead load;

$-\backslash ($ Q$\_\{$I$\}=\backslash )$ downward uniformly distributed live load;

$-\backslash ($ G$\_\{2\}=\backslash )$ downward concentrated dead load

The primary loads could occur simultaneously in accordance with the following load combinations for Ultimate Limit State:

$-\backslash (1\mathrm{.}35$ G $\backslash )$

$-\backslash (1\mathrm{.}2$ G$+1\mathrm{.}5$ Q $\backslash )$

The load combination for Serviceability Limit States is

$-\backslash ($ G$+$Q $\backslash )$

Figure $3$

$($a$)$ Considering all $3$ load combinations above and using SPACE GASS, determine the maximum and minimum $($positive and negative$)$ shear forces, bending moments and deflections of the beam $($refer to plots of diagram or text report$)$ should be designed for. Assume that beam is made of $610$ UB $101($Grade $300$ steel$).$ Consider the self$-$weight $($SW$)$ of the beam $(\backslash (\backslash$mathrm$\{$p$\}/\backslash$mathrm$\{$s$\}\backslash )$ include $\backslash ($ S W $\backslash )$ with $\backslash ($ G$\_\{$l$\}\backslash ))$ and show all relevant outputs.

$\backslash \{10$ marks$\backslash \}$

$($b$)$ The maximum allowable deflection $($upward or downward$)$ is $30$ mm $.$ Determine the adequacy of the beam deflection check.

$\backslash \{3$ marks$\backslash \}$

$($c$)$ If the beam is over$-$sized with respect to deflection, what is the minimum beam size to be used in order to fulfill the deflection requirement?