Lateral compression of rectangular tube

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Colnago
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Hi guys,

Bit of a noob engineer here so looking for some guidance.

I'm designing a fixture which will be constructed from stainless steel rectangular tube as shown in the diagram. If I apply a 10,000kg weight over a 100mx100mm area how do I go about calculating the stress and ultimately safe working load?

The tube will be laid flat on the ground. Is this just a case of force/area? I'm struggling to find any textbook examples of loading applied to hollow sections in this way.

Thanks in advance!

Two diagrams of a rectangular hollow tube: left is a cross-section showing 150mm height, 100mm width, 5mm wall, R12 corner radius, with 10,000 kg load on top; right is a 3D view of the tube with 10,000 kg load over a 100mm by 100mm area.
 
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You probably need to do some finite element stress analysis. I can't think of a way of simplifying it. Maybe someone else can.

Chet
 
Hi Colnago,

I'm no structural engineering expert but I would start with a shear stress calculation. Check the following link under the heading 'Beam shear' for an equation:

http://en.wikipedia.org/wiki/First_moment_of_area#Statical_moment_of_area

The equation is usually used for simply supported beams, rather than one which is supported throughout it's whole length but I think it is still valid. Maybe someone else could confirm.
 
Assuming we are talking about a local failure here and not a larger beam failure.

I see two possible local failures:
1) the horizontal face failing by bending
2) the vertical faces failing by buckling or crippling

You would have to make an assumption about the effective width of each face. You could come up with a less conservative design with FEM but probably not worth the effort practically.