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voodoonoodle
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Homework Statement
Need to determine the maximum deflection of the beam, by using double integration, and EI is constant.
...>...<
_______(_______)_______
^........o
|<--a-->|<--a-->|<--a-->|
Tried to draw this the best I could. It is a simply supported beam, with a concentrated couples of equal value (C) but opposite direction, with a distance between of (a).
Homework Equations
I pretty sure that my boundary conditions are: v=0 @ x=0 and v=0 @ x=3a
and my max. deflection will occur at x=(3/2)a
The Attempt at a Solution
My problem is that I don't know how to get started, all the examples show only one concentrated moment. I'm assuming I have no reactions, because when I sum the moments around either side, the moments cancel out.
I have tried using that M=C(x-a) and that didn't come out correct. So basically I'm looking for help in trying to get the moment function.
I have also tried M=C where I get the following
slope as a function of x = Cx/EI + C1
deflection as a function of x = Cx^2/2EI + C1x + C2
boundary conditions:
v=0 @ x=0 so C2 = 0
v=0 @ x=3a so C1 = (-3(C)(a))/(2EI)
so then I come up with an answer of (-9(C)(a^2))/(8EI) for the max deflection using x=(3/2)a
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