$($a$)$ In the ultimate limit state

$($i$)$ What is the design value of the total uniformly distributed load on the beam?

$($ii$)$ What are the values of the reactions at each of the two supports?

$($iii$)$ What are the values of the largest sagging bending moment and the largest hogging bending moment in the beam? Where does each occur?

$($iv$)$What is the value of the largest shear force in the beam? Where does it occur?

$($b$)$ Use the relevant guidelines in EC$5$ to check whether the beams are satisfactory in the ultimate limit state $($ULS$)$

$($i$)$ in bending

$($ii$)$ in shear

$($iii$)$ in bearing

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$\backslash$sqrt$\{\backslash$text $\{$ Floor panels of deck $\}\}$

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Fig. Q$3($not to scale$)$