Hints and Discussion Thread
It should come as no surprise to you that this is an indeterminate problem (if you remove the roller support at C, the beam can still be in equilibrium, thereby saying that the problem is over constrained). Let’s review the four-step plan for indeterminate problems.
- Equilibrium: Draw the FBD for the beam. You will have two equilibrium equations from that FBD and three unknown reactions. This supports the conclusion drawn above that the problem is statically indeterminate.
- Load/deflection: Here you use the 2nd-order beam deflection equations to determine the general form of the beam deflection.
- Compatibility: Enforcing the boundary conditions provides the additional equations to determine the constants of integration found in Step 2.
- Solve: Now you can solve the equilibrium equations along with the beam deflection equations for the desired reactions at B and C.
Any questions? Ask (and answer) questions here.