The horizontal beam shown is supported on rollers at A and E, with the roller planes at 60° and 30°, respectively, to the horizontal. The beam is also supported by a roller at C (on a horizontal...

The horizontal beam shown is supported on rollers at A and E, with the roller planes at 60° and 30°, respectively, to the horizontal. The beam is also supported by a roller at C (on a horizontal roller plane). For the loading shown, find the reactions at the three supports.