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Direct Integration Method for Deflection 
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#1
Sep2510, 09:39 PM

P: 5

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 d^{2}y/dx^{2}=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 


#2
Sep2710, 12:27 AM

P: 696

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? 


#3
Sep2810, 11:49 AM

P: 5

I figured it out, thanks



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