Engineering Statics

C-20


A force is to be applied at point A of the beam shown. The beam is at rest on a roller located at point B and there is an applied force of 100 N at point C as shown. Determine the reactions at points A and B when β=50°.

The FBD shows the froce at points A, B, and C.<BR> 
Note that the force at B is perpendicular to the beam.
The force at C can be calculated...
Summing moments about point A, we see that the force at B is the 
only unknown.
We solve for the force at point B.
We then sum the forces in the x direction...
We substitute for known values...
Using algebra and the calculator, we can find the force at A in 
the x direction.
We sum the forces in the y direction...
We substitute for known values...
Using algebra and the calculator, we can find the force at A in 
the y direction.