# Deflection (structural)

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Could you help me with the following.

Using continuous beam theory, constructing BM diagram from points b to c, to calculate the max deflection. I only found a have a single solution, though the BM digram show two points of zero bending. I can provide the solution.

[edit: Rb = 685 N]

attach1(revised).pdf

Edited by psyclones

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What do you mean by 'continuous beam theory' ?

I don't see any sign of the three moment equation and the resulting simultaneous equations in your working pdf.

It would also be nice to see the reactions identified and labelled.

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I can assure you I've used 'three moment equation(s)' (solving three equations simultaneously) to arrive at the given moments at b and c, and reaction at b (reaction b is under the support b).

My question is, given the manner in which I've formulated the M(x) equation. Is it correct- given I have fixed unequal (in this case) BM's at points b and c, with a free moment due to dist load?

 Using the integration method to solve for angle = 0, to solve for deflection. 

Edited by psyclones

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Here is a good pdf on the 3-moment method for continuous beams like yours.

http://people.duke.edu/~hpgavin/cee201/three-moment.pdf

and here is a simpler worked hand calculated example.

http://www.roymech.co.uk/Useful_Tables/Beams/Continuous_Beams.html

Edited by studiot

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