Parallel beams bracing
Parallel beams bracing
(OP)
Hello Guys,
I have the following frame( Showing only the necessary part of the structure for the understanding of the problem). The Span is 9,00m(30ft) and the intermediate beam is suporting non-structural masonry. In order to increase the stiffness of the frame, share a part of the load of the intermediate to the top beam and give better suport to the masonry wall, i introduced the green ties. My question is, if i utilize rigid connections, the ties will brace the beams for LTB(Torsional bracing)?

Is there a document that deals with this kind of bracing?
I don't think that it won't be as effective as a traditional bracing where the beams are on the same horizontal plane but may be sufficiente.
Thanks in advance.
I have the following frame( Showing only the necessary part of the structure for the understanding of the problem). The Span is 9,00m(30ft) and the intermediate beam is suporting non-structural masonry. In order to increase the stiffness of the frame, share a part of the load of the intermediate to the top beam and give better suport to the masonry wall, i introduced the green ties. My question is, if i utilize rigid connections, the ties will brace the beams for LTB(Torsional bracing)?

Is there a document that deals with this kind of bracing?
I don't think that it won't be as effective as a traditional bracing where the beams are on the same horizontal plane but may be sufficiente.
Thanks in advance.
RE: Parallel beams bracing
I'm going to go with it won't satisfy stability bracing. Even if you make those connections rigid, you still have what appear to be skinny open sections which are notoriously bad for torsion. And the only way this works is if they are provide torsional bracing to one another.
One benefit is that any tension load in your ties is being applied below the neutral axis of the top beam, and so wouldn't really contribute to LTB. But that'll be minor.
RE: Parallel beams bracing
In AISC/Yura terms, you would be trying to use the green members as torsional point braces. Distortion of the web of the red members would play a big part in the calcs, so you would probably need to add full-depth stiffeners to the red member web at the green member connection locations.
In the AISC Specification, torsional point braces are covered in Section 6.3.2a. They might be called "discrete torsional braces" in the Yura "Beam Bracing" paper phamENG referred to.
RE: Parallel beams bracing
Before trying to calculate by hand, i created three Mastan models to verify the beam resistence and the models did show a considerable increase in the resistance. The models still don't include the flexibility of the connections, so i will do this next, for both the stiffened and unstiffened connections.
I Introduced partial yielding and initial imperfections as described on the stability fun guide of Mastan.
In the first model, the intermediate beam acted alone(Blue Curve), while in the second, the tie was connecting the beams by pins(Green Curve), resulting in a 96% increase that is close to the 100% increase expected and in the third model, the tie was connecting the beams by rigid connections, resulting in a 267% increase(Yellow Curve)
RE: Parallel beams bracing
RE: Parallel beams bracing
RE: Parallel beams bracing
RE: Parallel beams bracing
"We shape our buildings, thereafter they shape us." -WSC
RE: Parallel beams bracing
Very cool. I hope you'll say how the Mastan results compare with the AISC/Yura torsional bracing results.
RE: Parallel beams bracing
There may be some bracing provided...if the bottom beam starts to buckle laterally, the top flange (assuming top flange in compression) tries to move down and to the side. Even with pins, there is a limit to the range of motion available to that top flange based on the length of the brace and the stiffness of the beam above. But I have a hard time believing it's enough to make a difference in the real world.
Please do post the difference between your model and the hand calcs based on Yura and the AISC appendix. Also look at the allowable loading assuming your hangers are supports for the bottom beam (or whichever beam has more deflection if not connected)
RE: Parallel beams bracing
PhamENG and Celt, both effects occur. To show this, i did create a fourth model and i'll try to describe better the results below.
A - First i'll show the BMDs of each model for 1st order analysis and a uniform load of 1KN/m:
A.1 - When the beam is acting alone:
Mmax=9,437KN.m
Cb=2,03
A.2 - When the beams are pin-connected to the hangers, the BMD for 1st order elastic analysis is the following:
Mmax=5,138KN.m
Cb=2,16
The maximum bending moment reduced 45,6% and Cb increased 6,4%, so the load increase 95%, consistent with the previous 2nd order inelastic analysis.
A.3 - When the beams are pin-connected to the hangers in-plane and rigid out-of-plane, the BMD is equal to A.2, so if not for some bracing effect, the failure load should be equal to A.2, but the 2nd order inelastic analysis shows a 75% increase to model A.2 (240% increase to model A.1)
A.4 - When the beams are rigidly connected to the hangers, i obtain the following BMD:
Mmax=4,823KN.m
Cb=2,16
The 2nd order inelastic analysis show 6,5% increase to model 3, consistent with the 1st order analyis. This small increase occurs because the hangers absorb a share of the bending moment of the beams.
B - The deflected shape that i obtain with the 2nd order inelastic analysis show the beams almost vertical at the intersection with the hangers, which confirms that these act as torsional bracing
RE: Parallel beams bracing
RE: Parallel beams bracing
For your sketch in the first image, I would only buy that if you put stiffeners in. Preferably a split tube (same size as the hanger) that gets welded into the web and to the flanges.
Perhaps it is possible to set up a torsional bracing system this way. How does it compare to the hand calcs?
RE: Parallel beams bracing
I'll check all the hand calcs now. This morning i was at a company meeting and could not work on the problem. I have one more question regarding torsion boundary conditions. I intend to connect the beams to the column using end plates. In this case, with respect to warping, this connection will be continuous or free?
It depends on whether the connection has a stiffener?
RE: Parallel beams bracing
RE: Parallel beams bracing
In this new configuration, i substitued the W-Shapes for HSS shapes with strong axis horizontal. Both are subjected primarily to axial load, while the bottom one to flexure-tension, but the bending is continuous with support at each 1/3 span, so values much below the former solution.
RE: Parallel beams bracing
You'd likely need stiffeners on both red beams to increase the distortional stiffness of the web.
Additionally, the braces would have to withstand a moment of 0.02MReq (depending on which codes you are using).
This brace moment would then have to be divided by the green span length which would cause equal and opposite weak axis forces in both of the red beams. I imagine this would have a significant impact on the design.
RE: Parallel beams bracing
Yes, that's an excellent bracing system and you're pretty much nailed the concept. I'm afraid that you've been led astray pretty badly in many of the previous posts that question your approach here.
Toss in some dirt simple stiffener detailing, as 271828 suggested, and I feel that your system would be as effective as when the beams are in the same horizontal plane.
Your system bears great similarity to how diaphragm bracing is used for twin bridge girder buckling, per the sketch below. And I'd be tempted to adapt similar checking procedures. That, combined with your MASTAN work, would give me great confidence in this system.
Moreover, pretty much ever truss chord the world over is torsionally braced by its webs in exactly the same way.
Don't do that. It's unnecessary if the beams are already designed properly and it will make the wall more difficult to construct. You had the right idea straight out of the gate.
RE: Parallel beams bracing
Is there not a roof diaphragm that will brace the upper beam laterally?
RE: Parallel beams bracing
i was very confident about my approach and is good to see someone so experient and knowledgeable as you to confirm it. With respect to the second approach, i changed it not because i didn't feel confident about the first approach but because i could reduce considerably the weight of the steel, since the moments are much smaller and the stiffness is much greater.
I know that its going to be more difficult to construct the wall and maybe you'd think that its not worth it to the client the cost offset but i assure you that in my region it is. I live in Brazil where the cost of Steel is twice the cost in usa and where labor cost is 1/5th ot the usa.
RE: Parallel beams bracing
Yes, there is a roof but the roof will stop before the gutter, which will be supported by the last purlin and bu the upper beam. This gutter won't have enough stiffness to brace the beam.
RE: Parallel beams bracing
I'm not gonna send you a lot of messages nor will i send this detailed questions that i post on this forum and leave it. Its just that sometimes is frustrating that most enginners that i know here don`t have the same approach ("Just push some buttons on a random software and its fine") and i`d like to have some talk with someone so qualified.
Please, disregard this request if it's too incovenient.
RE: Parallel beams bracing
Consider this sketch of twin girder bracing taken from an AISC video.
https://www.youtube.com/watch?v=ABoxRE5o9bs&t=...
RE: Parallel beams bracing
Sure, if your reason for the change is just improved efficiency for carry gravity load, that certainly works for me.
I can't say that I've ever seen a gutter on the interior side of an exterior wall. That said, there's a great deal that I 've never seen, including Brazil.
Not to worry, I enjoy relationships of that kind and deliberately cultivate them here on the forum. I'll reach out.
RE: Parallel beams bracing
RE: Parallel beams bracing
RE: Parallel beams bracing
Thanks.
RE: Parallel beams bracing
I analyzed a W150x13 (W6x8,5 in imperial units) with 3000mm of lenght and two bracing(Lb=1000mm). The top beam is equal and these are spaced also by 3000mm. The following chart shows the elastic critical moment for LTB for varying values of Ib(Moment of inertia of the bracings out-of-plane. (The gray and orange lines show, respectively, the critical moment for unbraced and braced beams).
Utilizing the methodology proposed by Yura i found that Ib necessary for bracing is 110cm4, which i think its in good agreement with the results since Mcr is equal to 93% of the value for complete bracing.
The model didn't consider the position of bracing, which I think that can be done by the introduction of rigid bars with length equal to half of the beam height, and the stiffness of the connection, which can be done by the change of the brace stiffness to a equivalent stiffness.