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# Buckling of a pipe under torsion3

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## Buckling of a pipe under torsion

(OP)
I've got some fairly large pipes under substantial torsion - most examples I've seen of pipes under torsion have ignored the possibility of shear buckling of the pipe under torsion. Can anyone point in the direction of a resource for this? Otherwise I may build a FEA model to convince myself it isn't a possible failure mode with my dimensions, but of course that is only elastic buckling.

### RE: Buckling of a pipe under torsion

you know the shear stress, right? (T/(2*[A]*t), [A] is the enclosed area (pi*r^2 for you)

then Bruhn, eqn C8.5, had Fcr = 0.6*E*(t/r) (Bruhn, Analysis of Flight Vehicle Structures, for monocoque cylinders) ... should be in other texts as well (Flavbel, Niu, etc)
presumably limited by Fsy.

another day in paradise, or is paradise one day closer ?

### RE: Buckling of a pipe under torsion

Timoshenko's book 'Theory of Elastic Stability' has a section on this. (Page 500-509 in the second edition.)

### RE: Buckling of a pipe under torsion

I was thinking I had seen that in a place or two- try Roark's Formulas for Stress and Strain, maybe Timoshenko.

### RE: Buckling of a pipe under torsion

H3 of the AISC spec provides torsion design info and they specifically mention the limit states of torsional yielding and torsional buckling. That section also continues on to provide combination formula for torsion, shear, flexure & axial forces.

Years ago I built a spreadsheet around these formuale when I was doing a lot of work w/ monopole signs. And since then I've found that Risa3d does a good job matching my spreadsheet.

### RE: Buckling of a pipe under torsion

Regarding neglecting the torsion:

Out of curiosity, what range of diameters and wall thicknesses are we talking about?

### RE: Buckling of a pipe under torsion

(OP)
Excellent, the Timoshenko reference was what I was looking for. Couldn't find it in roarks,

### RE: Buckling of a pipe under torsion

(OP)
Wow, can't believe I didn't check the AISC spec first...

### RE: Buckling of a pipe under torsion

#### Quote:

Wow, can't believe I didn't check the AISC spec first...

I don't know what your pipe diameter (and wall thickness) is.....but if it is outside of the scope of AISC's shapes: be careful. (You said your pipes are "fairly large".)

Of course you have to be careful with anything out of Timoshenko's book as well because there are no safety factors [SFs] suggested. And for a large, thin walled shell.....the initial imperfections and so forth can drive these to be quite high. We are use to SFs on the order of 2-3 to eliminate the possibility of things like LTB, Euler buckling and so on for structural steel......different ball game for thin walled structures. I fall back on ASME code in many cases (including pressure vessel handbooks).

### RE: Buckling of a pipe under torsion

For that matter, be careful with Timoshenko, especially if he doesn't address relationship of theoretical buckling to actual- which can be considerable in some cases.

### RE: Buckling of a pipe under torsion

(OP)
This is on the order of 1.2m diameter for 30mm wall at the thinnest. I'm trying to keep everything within what is called "class 2" in Canada. Essentially, ratio of wall thickness to diameter should allow the plastic moment to develop before local buckling. Alternatively, I would have looked at an elastic model, checked the buckling ratio and tossed on a FS of perhaps 5. In any case, I'll keep things within the realm of being governed by material shear stress (0.6Fy) instead of the buckling capacity from AISC. I'm certainly looking to be quite safe here

### RE: Buckling of a pipe under torsion

#### Quote:

For that matter, be careful with Timoshenko, especially if he doesn't address relationship of theoretical buckling to actual- which can be considerable in some cases.

Hey that's what I just said.....(albeit differently ).

### RE: Buckling of a pipe under torsion

At a D/t ratio where you are, the 0.6Fy controls in AISC anyway.

You have to get pretty thin walled for those other Fcr formulas to get below the 0.6Fy ceiling.

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