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Can you help me out with this complicated beam deflection problem???

Can you help me out with this complicated beam deflection problem???

Can you help me out with this complicated beam deflection problem???

(OP)
Could someone help me derive the equation for this problem (on link below). The boundary conditions are: at x=0, deflection=0, and at x=0, slope=0. It seems like a simple cantilever beam problem, however, I don't know how to deal with the axial force. I tried using Beam-Column theory, but I can't seem to get it right. I appreciate any kind of help!

http://imageshack.us/photo/my-images/804/estes.png/

Thanks!  

RE: Can you help me out with this complicated beam deflection problem???

It is a simple cantilever problem and you can treat the axial load in one of two ways...

1.  Neglect it.  Unless the deflection from the vertical load is significant, the eccentricity of the axial load is negligible.

2.  Compute the deflection at the end then apply the axial load based on the resolved vertical force from the eccentricity of the deflection....it will be small

RE: Can you help me out with this complicated beam deflection problem???

Sounds about right!!

RE: Can you help me out with this complicated beam deflection problem???

(OP)
Ron and Mike,

I did not mention that the beam is thin and it has large forces on it... as a result the beam has large deflections due to both axial and lateral forces...would I still be able to apply Option 2?

Thanks again.  

RE: Can you help me out with this complicated beam deflection problem???

What do you mean as "large" deflections?

Based on an overall length of 2L for the "beam", are we talking 2L/120, 2L/80...what deflection ratio?

Mike McCann
MMC Engineering
http://mmcengineering.tripod.com
 

RE: Can you help me out with this complicated beam deflection problem???

Might consider this as a beam-column with a KL = 2...

Dik

RE: Can you help me out with this complicated beam deflection problem???

(OP)
I'm talking 10% of the beam's length... L/10.

Thanks.

 

RE: Can you help me out with this complicated beam deflection problem???

Then you have to solve it like a "P Delta" problem rotated 90 degrees - an itterative process by hand, or just model and solve it in RISA.

As for the equations for the math solution, not me, maybe someone else.

Mike McCann
MMC Engineering
http://mmcengineering.tripod.com
 

RE: Can you help me out with this complicated beam deflection problem???

Look in the first site below, under Beams -> Bending + compression -> Fixed-supported -> Distr.load or here.
Or choose a different support condition, I'm not sure to understand yours.

prex
http://www.xcalcs.com : Online engineering calculations
http://www.megamag.it : Magnetic brakes and launchers for fun rides
http://www.levitans.com : Air bearing pads

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