The 450-kg uniform I-beam supports the load shown. Determine the reactions at the supports

The 450-kg uniform I-beam supports the load shown. Determine the reactions at the supports.

Solution: 

Free Body Diagram

ΣFx = 0, ΣFy = 0

Ay+By = (480×9.81×8)+(220×9.81)

ΣFx+ΣFy=6572.7

ΣΜΑ = 0

-[450(9.81)(8/2)]-[220 (9.81) (5.6)]+ By (8) =0  

By =3717.99 N 

Ay+By=6572.7

Ay+3717.99=6572.7

Ay=6572.7-3717.99

Ay=2854.71N 

In a leveling work, sum of the Back Sight (B.S.) and Fore Sight (F.S.) have been found to be 3.085 m and 5.645 m respectively