Statics. Determine the reactions at A and C of a T-shaped bracket.?

A T-shaped bracket supports a 75-lb load as shown. Determine the reactions at A and C when


(a) alpha = 90 degrees


(b) alpha = 45 degrees





Diagram:


http://i231.photobucket.com/albums/ee84/...

Statics. Determine the reactions at A and C of a T-shaped bracket.?
when alpha = 90 deg, the 75 lbs act horizontally to the right





the reaction at A can only be a vertical load since A is a roller.





summing forces in the x direction we get, Cx = 75 lbs to the left





summing moments about c: Ay = 150 lbs





and Cy = Ay = 150 lbs








when alpha = 45 degrees





Ay = 194.454 lbs down


Cx = 53.033 lbs to the left


Cy = 247.487 lbs up





You must know basic statics and the three equations of equilibrium to do this problem. You must also recognize that you can get two reactions as C and only one at A due to the roller.
Reply:Fairly basic reaction question. As per the other answer, free body diagram is straightforward.





Work out the forces at B for the two cases of alpha. Case a) has a single force horizontal, b) has two vectors vertical and horizontal.





Sum the moments at C to work out reactions at A, then use these results to find the reactions at C.
Reply:geeze man. This takes some work. So we've got to get to an equation with alpha so we can just calculate (a) and (b).





dude, you've got torsion and you've got free body diagrams. work it out.