OWSJ Bridging Design Examples
OWSJ Bridging Design Examples
(OP)
Does anyone know of a good resource that walks through the process of specifying all the bridging requirements for joists?
I'm talking about the process of specifying diagonal bracing if it's needed, construction bracing, and permanent bracing. How to determine brace forces, termination connections, checking brace angle sizes, maximum joist spacing, the works...
I have Vulcraft design guides that go into detail on how certain equations derived. What I'm really looking for is summary, flow chart, or design examples that actually shows the user how to use the design tables. Both the Code of Standard practice and OSHA requirements don't give the numerical examples.
I'm also looking for the same sort of information for how to brace additional external loads placed on joists. This will help me determine the OWSJ bridging vs bracing requirements.
I'm talking about the process of specifying diagonal bracing if it's needed, construction bracing, and permanent bracing. How to determine brace forces, termination connections, checking brace angle sizes, maximum joist spacing, the works...
I have Vulcraft design guides that go into detail on how certain equations derived. What I'm really looking for is summary, flow chart, or design examples that actually shows the user how to use the design tables. Both the Code of Standard practice and OSHA requirements don't give the numerical examples.
I'm also looking for the same sort of information for how to brace additional external loads placed on joists. This will help me determine the OWSJ bridging vs bracing requirements.
RE: OWSJ Bridging Design Examples
Lecture Slides from an SJI Webinar
Link to a recording of the webinar, filter topics by bridging Link
Technical Digest 2: Bridging and Bracing of Steel Joists and Joist Girders, filter topics by bridging Link
RE: OWSJ Bridging Design Examples
If you provide the net uplift on the joists they can do the bridging analysis on their side, you as designer are on the hook for the bridging termination and the SJI standard specification and code of standard practice will give you the necessary force for the bridging anchorage.
You can use the bridging tables in the Catalogs to thematically show the bridging (i.e. show three runs, the center one is cross bridging but your drawings in this case are schematic and the "final bridging by joist design engineer" may change, particularly since bottom and top chord bridging/bracing need not necessarily be at the same location, particularly when there is uplift involved for lighter roofs.
Longer joists tend to have more robust bridging and also tend to have diagonal bridging at the center.
RE: OWSJ Bridging Design Examples
I took the following snapshots from the SJI's Technical Digest #2. When they discuss diagonal cross bracing, they mention that it's designed for tension forces ONLY.
Putting together a FBD of the brace force, where Pbr is determined by Pr/joist depth... it looks like relying on the diagonals for tension only creates forces the adjacent brace into compression. Or else the joint is unbalanced. Take Joint A for instance.
Why am I not seeing it?
Furthermore, it says that horizontal bridging is design for compression only. Unless the sign is changing along the member length, I don't understand how it's compression only, when in reality joist displacement can cause (drag) on the adjacent horizontal brace.
Can someone help me understand this, please?
RE: OWSJ Bridging Design Examples
I say 1998 because my Vulcraft 1998 Joist catalog has a big note on the cover about bridging.. It if's an OSHA element it's perhaps not rigorously math but a required size or area?
Yea I'm not finding what I'm looking for, but this looks nice and distracting: https://www.lemessurier.com/sites/default/files/ar...
Ok, I think this is what I was looking for, the year sounds about right - https://www.aisc.org/Design-of-Diagonal-Cross-Brac... plus Beaulieu sounds familiar as well, I'm not sure that's "on point" for this topic, but to me that's where the death of the compression force being used in diagonal bracing for steel construction occurred.
I'd encourage you to contact a local joist supplier. They may be able to refer you "up the chain" to the engineering manager for the area and they'll have more insight.
The bridging I've seen in the field is pretty small section angles, so they'd offer limited capacity in compression even if the weld/bolt were able to transfer the load.
I also wonder if the bridging isn't designed exclusively for a horizontal force, particularly the diagonal bridging as that's (in my mind, at least) for erection stability, note that there's a gap between the two top chord angles so the load has to go into the one top chord angle, maybe up into the deck, then back into the other angle? That seems like the stiffest path, otherwise the top chord has to take the sideways load somehow to a panel chord or a filler plate?
Regards,
Brian
RE: OWSJ Bridging Design Examples
Does anyone have a structural analysis example of how forces in diagonally braced joists are determined via free body diagram, truss analysis etc.?
This would include:
1. Diagonally braced joists without horizontal top/bottom bridging.
2. Diagonally braced joists with horizontal top/bottom chord bridging.
3. Diagonally braced joists with bridging terminating at an end joist.
RE: OWSJ Bridging Design Examples
-----*****-----
So strange to see the singularity approaching while the entire planet is rapidly turning into a hellscape. -John Coates
-Dik
RE: OWSJ Bridging Design Examples
The bridging design is under the responsibility of the joist design engineer.
RE: OWSJ Bridging Design Examples
I'm trying to rationalize that a lateral force that works it's way into the bracing mechanism would shed light on how an external lateral force would travel the same path.
Bear with me, I might be going about this completely the wrong way. I understand the combination of the diagonal bridging and horizontal bridging to create an 'inverted' braced frame. The only issue is, where does the lateral force go? I don't want to assume that 100% is absorbed by the roof deck. Ideally, I'd like to the the lateral load work it's way back into the joist as a vertical load, but my analysis is proving that the lateral load either has to be put into the roof deck, or it has to run down the entire line to the bridging terminus point (ie the exterior wall or a joist/beam stiff enough to take the lateral load).
To get this conversation moving, I've provided a snapshot of my attempt at modeling this scenario. As expected, the model yields unbalanced reactions.
The Joints at A, B, C, D are supported in the Y-direction. While this may not be true at the location in the field, the joist supports the vertical loads (maybe it should be modeled as a spring). I'm trying to see how I can get the lateral load (introduced at Joint B as a 1K virtual load) to work it's way back into the share of vertical supports.
Is there a way to do this without having continuous top/bottom chord bridging down the entire line.
Another thought I had is: Does the horizontal top/bottom chord bridging and diagonal bridging create a faux 'perpendicular truss' to the span of the joists?
Do you mind illustrating how you calculate this?
RE: OWSJ Bridging Design Examples
I had a spreadsheet that I developed. The SJI has an excellent *.pdf presentation, noted above, that illustrates this that is more current. When I developed the spreadsheet... it was about 40 years back and there are many improvements since.
-----*****-----
So strange to see the singularity approaching while the entire planet is rapidly turning into a hellscape. -John Coates
-Dik
RE: OWSJ Bridging Design Examples
The bridging, to me, is there for erection stability. The SJI requires the top chords of the joists be secured at 36" o.c. to something, i.e. the metal deck, typically. If it's a standing seam roof this dramatically changes what the bridging does and it's a big "let us know" item for the joist suppliers. I think they will still do bridging but then my question (as EOR) is where's the roof diaphragm, which means some manner of horizontal truss/alternative and it's still "mine" as EOR. I suspect their bridging is intended for gravity loads in that scenario and it's not going to provide any worthwhile diaphragm values.
While it is technically possible for gravity forces to go into the bridging, first you have the bolt hole versus bolt diameter, both ends, (unless it's welded?) and second you really need differential deflection between two joists to produce that force via bearing on the bridging angle, the bridging angle, if designed for tension only, has very little compression resistance, as well as the eccentric effects of the connection making it even weaker, and these aren't massive angles to start with, I'd expect them to buckle under even fairly trivial loads. The model ironworker, who isn't supposed to be sitting on the joist at mid-span, is 250 pounds. So the bracing force that goes into the bridging is less than that, provided adequate (tension) stiffness in the bridging is provided.
Uplift is a different creature, but the bridging in that case is there to brace the bottom chord, not exactly part of a fully resolved load path (perhaps).
Admittedly, I have not done a deep dive into bridging analysis or design, I focus more on the anchorage of the bridging to the exterior wall. They give a force, I provide an attachment.
Regards,
Brian
RE: OWSJ Bridging Design Examples
Check section 5.5 of this doc (if you haven't already). https://steeljoist.org/wp-content/uploads/2021/05/StandardSpecs_K_LH_DLH-Series_0820.pdf
RE: OWSJ Bridging Design Examples
What's really going on is that I'm trying to determine the best way to rationalize the introduction of new RTU's and roof top screens on existing joists. The gravity component is not so much of a concern because I've already established, what I believe, is a good rational approach. Where I'm concerned is the introduction of lateral load since some of these roof top configurations are 1) tall, 2) located in high wind areas.
The reason I started picking at erection bridging and construction bridging methods was to understand how the joist is acting when it cannot rely on the existing roof deck. Don't get me wrong, my roof deck IS going to be providing lateral bracing to the existing joist top chords... I just don't know how much I can rely on it with individualized lateral point loads. My concern is the fact that these roof top features could 1) create some sort of localized lateral displacement of the top chord. or 2) create some twisting of the joist.
Since I have to start somewhere, I figured I'd try to understand the bracing mechanism.
Yeah, I'm often trying to figure out these things that my peers so joyfully don't consider. That's why I come here to talk with you all!
RE: OWSJ Bridging Design Examples
If need be you can track it backwards through the 75 year catalog and tables to see what the requirements were around the time of original construction, if that can be reasonably established via the property assessor or satellite imagery.
I'll add the language about standing seam as well.
Incidentally, farther up in that section it has horizontal bridging at l/r of 300 and diagonal bridging at l/r of 200. The way the second item is worded, 5.5.2, the l is the full length of the bridging. The potential bolt in the middle of the "X" is not counted as a brace point or determination of slenderness.
I guess the point here is anything beyond the required strength and spacing for the bracing of the top chord (i.e. not the bridging, the metal deck connection) would potentially be available for restraint of "other" lateral loads.
As to the original problem, lateral loads from RTUs and unit screens, look at Designing with open web steel joists, Fisher, there is some treatment of lateral loads across the joist from a guy wire anchorage. I thought the second edition had some designs for RTU screen attachments as well.
RE: OWSJ Bridging Design Examples
The Vulcraft reference (Designing with Vulcraft Steel Joists...) you mentioned was so helpful and has pointed me in the direction of another Technical Digest that might be worth purchasing. I actually have a hardcopy of it but didn't realize there was a special topic on joist reinforcing.
What's interesting is the comparison between Vulcraft's method of analyzing the joist vs SJI Technical Digest #2. One primary difference I noted was:
SJI Method
•When SJI checks the capacity of the chords, they first check the fa/Fa unity of the chord where fa = Pchord/A (where Pchord is determined from the applied moment divided by the joist chord moment arm)
•Next, they will determine the fb = Mc/I in the top chord interior panels (see snapshot below), then combined fa and fb is then checked via unity equation (fa+fb)/0.6Fy
Vulcraft's Joist Reinforcing Method
•For handling the moment capacity of the joist, only the fa/Fa ratio is considered. They don't actually add any contributing bending stress in the top chord itself.
Correct me if I'm wrong, but I find this analogous to:
•SJI is applying P/A +M/S, where the contributing bending stress is due to the fact that the chords are considered continuous through their span?
•Vulcraft is treating the joist as a truss with pinned nodes, and thus ignoring the stress contributed from bending. Here the M/S is eliminated from the analysis and we're only looking at the axial force in the chord itself.
RE: OWSJ Bridging Design Examples
•SJI is applying P/A +M/S, where the contributing bending stress is due distributed loading applied to the top chord between panel points.
•Vulcraft is ignoring the stress contributed from bending of the top chord between the panel points. Here the M/S is eliminated from the analysis and we're only looking at the axial force in the chord itself.
Granted the fb stress is much less than fa, I'm not sure why Vulcraft is taking that approach.
RE: OWSJ Bridging Design Examples
You're probably using Vulcraft as shorthand for the book (there was a hardcover at one point, I have a hardcover second edition of Fisher/Van de Pas), versus the SJI being the technical digest.
RE: OWSJ Bridging Design Examples
From the 2nd edition, pg. 83, how do you resolve this load path? If the joist depth is 24", spacing 60", and the load is 1K (45° at 12" above top of joist), what forces would you get in your framing members and how do we get resolve this to the overall building structure?
The y-component would put uplift in the joist on the left (let's call it Joist A). However, there is an eccentricity to this load since the horizontal angles are only attached to one side of the flange.
The x-component looks like it would be dragged out through the roof sheathing, assuming we have an adequate diaphragm here. However, it we didn't then what's the path (I'm assuming the top horizontal bracing would need to go all the way to the outside wall)? There is also a rotational moment to be resolved.
I'm trying to determine how to handle this load path via a simple FBD.
If we try cutting this and solving via method of sections (moment at A), we have (4) unknowns:
•Fx top horizontal brace/or dist. into roof diaphragm
•Fx bottom horizontal brace
•Fr diagonal brace
•Fy vertical component that goes into the joist.
RE: OWSJ Bridging Design Examples
In order to keep my model happy and have no lateral reaction at the end of each joist (Z-direction reaction at joist seats), I had to create some soft of lateral support along the top chord of each joist. A spring support was placed at each node, which represents the presence of a metal deck diaphragm.
The first joist (the one that takes the initial later load) takes 500lb of force from the combined reactions in each spring. The remaining 500lb travels through the horizonal brace and the distributes into the springs that supports the second joist. The diagonal and bottom horizontal are zero force members in this situation.
Is this to say, that all lateral forces will directly distribute to the diaphragm and there is actually no need to create a triangulated brace at the introduction of individual point loads?
Keep in mind this was only a 1K point load. At what point do I have to worry about locally tearing the diaphragm?
I really wish there were some design examples that could shed some light on this situation because the more I try to break it down and understand it, the farther I'm getting from my original assumptions on how this works.
RE: OWSJ Bridging Design Examples
Wind Design Considerations for Joist and Joist Girders, 2017 Holtermann and Jeudemann
As to your force question, why not disconnect the top chords at the angle brace frame to force the loads elsewhere? Remove the springs just at those nodes. If the diaphragm can't take that load, the analysis will show you where it goes, (intuitively I'm expecting a download and an upward load on the joists).
RE: OWSJ Bridging Design Examples
•Lateral load goes to deck (via a horizontal collector)
•Moment is taken out as (2) opposing vertical loads at each joist.
However, what I'm not understanding is why the nodes of these model don't appear to be in equilibrium. Take the node support at the upper right hand. The sum of vertical forces doesn't equal zero.
I take this model as statically indeterminate and realize there are virtual methods to solving it. Does anyone know of a quick/simplified method to determine these internal forces?
Initially, I thought the bottom horizontal would have a tension value equal to (1,000lb x 1ft)/2ft = 500 lb.
RE: OWSJ Bridging Design Examples
I don't see any supports (pinned) on the whole frame so those are either shut off or ?.
Draw the forces on the joints and the appropriate angles as a free-body diagram? Apply joint equilibrium.
RE: OWSJ Bridging Design Examples
Trying to create of model of this thing was probably a waste of time. Regarding my model, the only x-reaction support is located along the top member at mid-span. This is the reason why there is zero x-component force to the left of the vertical.
I'd much rather analyze with this simplistic and more conservative approach.
I dump 1.5K into the roof deck with attachment to the horizontal angle. The balance of the forces 'exits' the FBD as a vertical reaction (equal and opposite) at each joist.
RE: OWSJ Bridging Design Examples
RE: OWSJ Bridging Design Examples
So what you're basically saying is, let all the lateral load develop into the deck and take the rotation out as a couple between two joists? That is pretty much what I have done in the simplified scenario, with the exception that I've used the bracing to take the rotation and deliver through a system of 2-force members to the joists.
Notice in my example above, the vertical load is 200 lb down at one joist (and 200 lb up at the other joist). This is a force couple = 200lb x 5ft = 1,000 ft-lb (the same as the load in the system).
I think we're on the same page but it felt like you said it differently.
RE: OWSJ Bridging Design Examples
In reality you don't know how exactly the forces are going to distribute out, but so long as you satisfy statics and equilibrium it should work as it's a lower bound solution? I used to know this stuff when I was doing more connection design.
This is along the lines of the argument I'm trying to invoke. It's been a while.
On the Analysis and Design of Bracing Connections, Thornton, AISC, Proceedings of the AISC national steel construction conference, 1991.
https://lsc-pagepro.mydigitalpublication.com/publi...
RE: OWSJ Bridging Design Examples
Seems like a delicate rabbit hole to be tinkering with, especially when I'm also trying to untie the mysteries of stability design (my other post), like a structural engineering version of Tom Hanks running around Vatican city.
'You make them behave the way you want them to, and they just do it.' Why are we not all talking about this WAY MORE OFTEN?
RE: OWSJ Bridging Design Examples
That's the other end of the spectrum, you presume a failure mechanism and run the calcs. This will almost always over estimate the failure load, but if you presume the exact deflected shape, you'll get the same load from the other direction (statics and equilibrium). I see this a lot with fall protection (and it's kind of potentially dangerously wrong, because you almost guaranteed to overestimate the strength by presuming a failure mechanism (think plastic design of plate structures).
This concept (lower bound) shows up a lot more in connection research and design.
Think about this a minute - we've seen from research that a lot of the shear load goes into the top two bolts in a bolted connection, but we provide more and load them all equally "in design". They don't act that way in reality but it's sufficiently accurate and the bolts are sufficiently ductile that it works. The other item of note is a lot of engineers would use the "poison bolt" and design all the bolts for the lowest load allowed in that one bolt at the edge. Both approaches "work" to an acceptably safe level? Poison bolt is considered conservative as a result.
A Tale of Tearouts - Muir - Modern Steel Construction, May 2017.
RE: OWSJ Bridging Design Examples
Over my career I have found that when new information comes in, it will replace the shelf items that aren't in use. It's a maddening source of frustration, but with dwindling budgets and the need to accomplish a whole lot more responsibility with less time (the life factor), I find myself replacing these concepts with quicker ways to process the information and getting a job done efficiently.
I believe I'm at the point where most of my effort is put into 'good construction practice' as I can usually find a way to justify the design of all the elements that make the big picture. A personal goal of mine, and what I believe is the higher order of structural engineering, is understanding the stability of the system as a whole. Which is unfortunately difficult to do without the right project exposure, guidance, design example to follow, etc.. I find this particular topic much more difficult that designing any single components of a structure.
I will have to find more reading on the subject. I actually searched the text in multiple steel design textbooks I have for combinations of the words, "lower, bound, theorems" and got a handful of results that don't provide any information. I believe this subject is on the higher order of understanding that I mentioned earlier. These things are sometime easy to feel but hard to explain (like a good song). Stability is something you can feel from the age of stacking blocks... but explaining the non-linear response of a 2nd order analysis and why it's important to use reduced stiffnesses because a structure is within it's yield limit states... that's a doozy.
It's funny you bring this up because I've used this approach in many cast-in-place anchor situations before. Again, this was handled through a particular program calls "Studs" by STI. I will need to refresh myself on ACI's stance on the matter.
This engineering blog is a unique place where the people who care to know are mostly investing their own time to be here. My experience is that most individuals don't want to know, they just want a solution (which is fine). It's actually alarming to me that so many of my peers in the industry cannot hold much of a conversation when it comes to the stability chapter "C" in the AISC manual. Feels like they are relying on previous examples to know things will work.
RE: OWSJ Bridging Design Examples
When you deal with simplified situations, the upper bound theorem and lower bound theorems both look a lot alike.
The short story on energy methods is you presume the structure fails in a certain way (think of a fixed base column loaded laterally on the strong axis, i.e. failing due to a lateral load), you presume it fails due to plastic section. M = P*L, you run the calcs and come up with a failure load. This is potentially accurate, because you presumed a failure mode. This is an upper bound on the strength of the structure. If the column has stability problems (LTB, etc), it won't "get there" in terms of strength.
For an equilibrium method, you'd run through the statics and equilibrium, and from there derive a failure load. Since you satisfied statics and equilibrium, this is a lower bound because it might be stronger.
In this case you get the same answer. An upper bound solution is >= the actual failure load, the lower bound is <= the actual failure load. There are some decent papers about the uniform force method that goes into a variety of assumed force distributions for connections, and that's where you'll probably find the most accessible literature. Like I said, it shows up a lot in connection design, and that's about the only place you'll routinely encounter it.
Poison bolt is a steel-to-steel connection concept, I've not seen it discussed in ACI, but ACI went through a whole sequence on anchor rods........
RE: OWSJ Bridging Design Examples
RE: OWSJ Bridging Design Examples
Force is 1.0W, calculation done per ASD.
(1500lb x 0.6) / 115 = 8 anchors equally spaced between joists.
Limiting shear on the deck screw for a 20ga 33ksi deck would be about 200lb shear per #14 metal screw.
RE: OWSJ Bridging Design Examples
RE: OWSJ Bridging Design Examples
Again, kind of illustrates the whole point that these details are created by the institutes and people use them. But where do you draw the line?
I've sat and debated during formal review process with building officials & chief engineers in one of the most stringent jurisdictions (for wind load design) in the US, and never been asked some of the questions that I'm bringing up here.
RE: OWSJ Bridging Design Examples
RE: OWSJ Bridging Design Examples
RE: OWSJ Bridging Design Examples
I've only just started reading this thread, so I apologize if this has already been discussed. I think the distinction is that X-bridging becomes tension-only when it is used in conjunction with horizontal bridging. If x-bridging exists without horizontal bridging, then they are designed for tension and compression.
RE: OWSJ Bridging Design Examples
Doesn't X-bridging without horizontal bridging only exist for erection stability and permanent bracing?
I don't see how this would be used to support applied external loads such as the case shown above. If so, then there is no mechanism to brace the bottom chord of the joist. The joist would be left with some soft of unbalance lateral load pushing it out of plane (it's strong axis).
RE: OWSJ Bridging Design Examples
RE: OWSJ Bridging Design Examples
RE: OWSJ Bridging Design Examples