Support Reactions
Support reactions are the forces and moments exerted by supports on a structure. Common supports include pins (two force reactions), rollers (one force reaction), and fixed supports (two forces and a moment). Support reactions are determined using equilibrium equations.
Knowledge Check
1.A simply supported beam has a 10 kN load at its midspan. What is the reaction at each support?
2.How many reaction components does a roller support provide in 2D?
3.A fixed support at the end of a cantilever beam provides:
4.A pin support provides reactions in how many directions?
5.A 12 m long beam with a 30 kN point load at 4 m from the left and 40 kN at 9 m from the left. What is the reaction at the left support?
6.What is the reaction at a roller support for a beam with a uniformly distributed load of w over length L?
7.A 5 m cantilever beam has a 20 kN load at the free end. What is the vertical reaction at the fixed support?
8.What is the reaction moment at the fixed support of a cantilever with a point load P at distance L from the support?
9.A beam with a pin at left and roller at right has a 50 kN load at 2m from left on a 5m span. What is the right support reaction?
10.How many unknown reactions does a simply supported beam with a pin and roller have?