Question $1(40$ Points$)$: The beam given in the figure is placed on the column via a simply$-$supported connection. The width of the column is $w=300mm,$ the concrete cover is $25$ mm $,$ and the reinforcement is S $420.$ The moments are $M=10ykNm$ and $M=15ykNm$ at the distances $495$ mm and $575$ mm away from the support, respectively. For your selection of concrete class,

a$)$ determine the minimum reinforcement area and the clamping length at the top surface of the cross$-$section on the support.

b$)$ for the calculated conditions in option a$,$ if the clamping could be provided by a hook, determine the clamping length and free length of the hook.

c$)$ what is the minimum wrapping reinforcement diameter, number and maximum spacing if the lap splices are done for the diameter that you use in previous options?

Note:

$x$ : Last digit of your student number

$y$ : Last two digits of your student number