Curved Beam in Plan 4

[dik]

Does anyone have formulae to calculate shear, flexure and bending moment for a circular beam in plan supported on the four sides? The issue is as shown below. I know it's 'plenty strong' (the material is BAR 3/8x1-1/2 and it's part of a railing system), but I would like to be able to put some numbers on it... Thanks

I seem to recall a design book by Reynolds from decades back (from a project in the late 60s) that had curved beams with shears, moments and torsion based on the angle and fixed ends...

Rather than think climate change and the corona virus as science, think of it as the wrath of God. Do you feel any better?

-Dik

 

[KootK]

Once you consider the physical space that your supporting connections will occupy, you're "spanning member" will be something like I've shown below. Basically a straight line already.

 

[dik]

A continuous 'hoop' supported on four sides would be a reasonable approach.

Rather than think climate change and the corona virus as science, think of it as the wrath of God. Do you feel any better?

-Dik

 

[KootK]

A continuous 'hoop' supported on four sides would be a reasonable approach.

I disagree. The ring won't be continuous over the four sides support but, rather, utterly fixed at each one. You know, unless your connection is a dowel pin or something. I'd assumed welding.

 

[dik]

Not to worry Koot... it's been modelled as a quarter circle fixed at the ends... close enough... I'm happy with it.

Rather than think climate change and the corona virus as science, think of it as the wrath of God. Do you feel any better?

-Dik

 

[JoelTXCive]

What limit state is this; and what's the Phi factor for it?

 

[dik]

It's just the point where there is a change in sign of flexure. Maybe a poor choice of words; I was working from a fuzzy paper.

Rather than think climate change and the corona virus as science, think of it as the wrath of God. Do you feel any better?

-Dik

 

[JoelTXCive]

Isn't that the infLection point?

 

[dik]

Sorry missed the spelling...

Rather than think climate change and the corona virus as science, think of it as the wrath of God. Do you feel any better?

-Dik

 

[robyengIT]

sorry for delay because of PC blown up. Hope still helping

 

[dik]

As always, you're help is appreciated... thanks Rob

So strange to see the singularity approaching while the entire planet is rapidly turning into a hellscape. -John Coates

-Dik