Q$.1($a$)$ A three$-$hinged parabolic arch of span $30$ m has its supports at depth of $4$ m and $16$ m below the crown C$.$ The arch carries a load of $80$ kN at a distance of $5$ m to the left of end C and a second load of $100$ kN at a distance of $10$ m to the right of C $.$ Determine reactions at the supports and bending moment under the loads.

$(15)$