Deflection (structural)

[psyclones]

Please excuse [deflection] error.

 

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.

your thoughts.

 

[edit: R_b = 685 N]

Please find revised attachment.

attach1(revised).pdf

Edited April 14, 2015 by psyclones

[studiot]

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.

[psyclones]

Thanks for your post.

 

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?

 

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

Edited April 14, 2015 by psyclones

[studiot]

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 April 15, 2015 by studiot