Direct Integration Method for Deflection

craig22

1. The problem statement, all variables and given/known data
I'm given a 4m long beam that is fixed to a wall at the left end and is free on the other end. There is an external 50KN*m clockwise moment acting on the free end. I need to know the slope and deflection of the free end.


2. Relevant equations
d²y/dx²=M/EI



3. The attempt at a solution
I know that the reaction moment at the fixed support is 50KN*m. There are no x or y direction components, so all I have to work with are the moments. When I pass a section through the beam, how do I get my equation together from there?

The answers are supposed to be .0174rad and 34.8 mm

pongo38

Presumably, you know E and I, or the product EI.
Let x=0 at the fixed support, and x=4 at the free end. Can you write down the function for M at x?

craig22

I figured it out, thanks