Problem $22$ support and B is a pin support. There is a horizontal $7\mathrm{.}5$ k load at E$,$ a horizontal load X k at D and vertical load $Yk$ at $C,$ which is at the mid span of $AB.$

i$)(20\%)$ When $x=0k$ and $Y=0k($no forces at specified locations$),$ find the vertical deflection at $C($mid span of $AB).$

ii$)(5\%)$ When $x=0k$ and $Y=0($no forces at specified locations$),$ sketch the deformed shape.

iii$),5\%)$ When $x=0k$ and $Y=5k,$ compute the vertical deflection at point C $.$

iv$),(5\%)$ When $x=-15k$ and $Y=0k,$ use a logical argument to compute the vertical deflection at C $.$ Do NOT do detailed computations.