Homework Help: Deflection by Moment Area Method

1. Oct 30, 2014

obrien040362

1. The problem statement, all variables and given/known data
The problem is a cantilive beam of length L with a triangular uniform load or W. The solution is to find the slope and deflection at the end by moment area method. My solution is not matching the text book solution of wl^3/8EI and 11wL^4/120EI

2. Relevant equations
First Moment Theorem - Slope equal to the area under the M/EI diagram
Second Moment Therorem - Deflection is equal to the moment of the moment area about the point you want the deflection.

3. The attempt at a solution
see uploaded file

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2. Nov 1, 2014

SteamKing

Staff Emeritus
I think the reason your moment-area calculations aren't working is that your bending moment expression is incorrect.

I would draw the shear force diagram and develop the bending moment diagram from it.

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