Dx G,
Thank you for taking the effort and time to detail the issues that should be addressed in a search for a hub design. I rewrote it in a little more concise form for my own better understanding.
"I've been working on a project to simplify dome construction and usage. One major challenge has been dealing with the complex angles involved, which can be daunting for many people, including builders. My goal is to develop a hub design that addresses several key objectives:
Many existing dome designs in patents and the market are overly complex and require custom-made parts, limiting their practicality and adoption. By using readily available materials and standard manufacturing techniques, we can make domes more affordable and accessible.
This might seem like a daunting task, but as Henry Ford said, whether you believe you can or can't, you're probably right. I'm committed to working on this challenge and welcome input and collaboration from others interested in advancing dome construction."
The hub that can meet all these requirements is truly the sought-after holy grail of geodesic hub design. It would be the ultimate universal dome connector. However, I don't think there can ever be a "one-size-fits-all" hub design. This is simply because domes have so many different intended uses, sizes, and strength requirements. When designing a somewhat universal hub, we should consider these factors and then brainstorm for a solution for that narrowed-down set of requirements. I believe this will be more practical and achievable.
I'd like to share some pictures of a simple and unique hubless design by the group Ctrl+Z. They use recycled rough-sawn wood cut and assembled with simple tools. Many of you have probably already come across this on the internet. They call it the Brujodesica System. Here it is:
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Not completely sure where you are going with that design. So, some questions ...
Material selection:
Component Assembly method:
Structure Assembly method:
Or are my questions premature?
Eric
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Is the intent to have multiple "flats", one for each strut?
Eric
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re "Wanger Flanges" ...
I think their configuration seems OK for 6-strut joints, but not for 5-strut joints, because you would need to offset the connectors that are joining by the same amount. So, that leaves one connection with a flange on bottom and flange on top attempting a bolted joint, leading to a "misalignment", if we talk about being "theoretically true".
Functionally, for smaller structures, I think they would be practical and workable, leaving the choice of strut material entirely up to the builder.
For wood struts, I would reinforce the anchor end with a kind of threaded pipe clamp, or maybe just a solid sleeve adjusted to the strut diameter.
Eric
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To clarify my intent,
The 2-step injection-moulded assembly would be
Step 1 - mould the ring
During this step, it is conceivable that the process
might have an additional step
(to minimize future "welding wear" from plastic on
plastic rubbing under pressure)
by having the mould position tubular sleeves, at those
location on the mould cavity,
corresponding to eventual alignment of the
5-strut/6-strut configurations.
Step 2 - place ring in another mould where it is held
suspended
while plastic injected around the ring for the size of
the flat bar.
Alternate approach is forged and polished stainless steel
ring used for step 2 above.
If using this approach, need to "pre-heat" rings for placement in
the mould to match
the operating temperature of the mould to prevent repeated stress
fracture of mould cavity elements.
Just food for thought,
Eric
Is it safe to say that the connector design may also be dependant on the relative size of the connector?
Can it be said that connectors on higher-frequency domes don't need to be as strong as those of a lower-frequency dome of the same overall size?
Dome A at 4𝜈
Connectors at equator = 4 x 5 = 20
Guiding ratio of Load per connector proportional to L / 20 or L / √20
Dome B at 8𝜈
Connectors at equator = 8 x 5 = 40
Guiding ratio of Load per connector proportional to L / 40 or L / √40
Would defining such a relationship or sizing "curve" be desirable / beneficial / possible ?
Eric
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The only way to form a closed ring ... is to have 2 half-circles join.
I can't think of any way to join those 2 half-circles that would not end in a weakened ring.
Attempting to come up with
So ...
Similar to the issues for half-circles, half-bars coming together are only as strong as the "bolting" technique used to hold them together.
So ...
More food for thought.
Eric
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Hi Dx G,
On your point
Wanger flanges are terrific. How does one use them with hollow tubing or
anything that won't take attachment directly into a strut end?
I believe you need to consider approaches similar (see attached) to what is used for
Those approaches all use an approach of
Some food for thought.
Eric
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Hi again,
On your point of what could work, if the connector types they use for industrial hydraulics work as good as they do for the pressures they operate under, I firmly believe an adaptation of those designs would be valid for consideration for designing structural joints under tension.
As I said before, food for thought by joint designers. 🙂
Eric
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Hi Ashok,
You are referring to a "progressive stamping die", using a continuous strip of metal.
This URL
https://www.esict.com/blog/how-are-parts-made-using-progressive-die-stamping/
shows an image of a strip that displays
For the "Wanger Flange", you could design a die that would have stations
It is possible that you would need to combine the 3rd and 4th step into one, but I have no direct experience in designing that kind of progressive die. The trouble with those kinds of dies is the difficulties in getting the alignments right.
The alternative, given the realive simplicity of the part, is 2 separate molds to handle pre-cut paralellograms.
The trick with the latter die is to not have the parts stuck
in the die between operations! Tool designers have tricks
to kick the parts clear of the die after such operations.
Hope that helps! 🙂
Eric
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Hi again, Dx G,
Understand that I am not invested in the idea of using a "hydraulics-based" solution.
However, you may not be aware of the pressures/forces being used in those joints.
If we consider the SAE 100R2 standard,
If we take a conservative view, lets limit ourselves to a rating that I've seen many times for tubing connectors, namely 3500 psi (241 bar).
For a 1" internal diameter, that translates to an 0.78 sq. in.
area, which represents about 2700 pounds of tension. That
is some strong connector-retaining resistance force! ... All
derived from a crimp fitting!
My gut says that the structures that you are considering potentially
would not encounter forces reaching higher than about 1/4 to 1/3
of that number ... and that being tension-wise (compression is
a minor consideration for that type of joint design).
I can't help but think that there is something there that could be applied to tubing/pipe in the dome design/construction context.
Does that help put the potential of concept into perspective regarding a workable adaptation?
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One last contribution for the universal connector idea.
For those willing to pursue that route, McGill University used to offer a final-year (4th) course in Value Engineering, where people from industry would put forward a concept design and a team of students would revisit, rethink, modify, optimize and finalize a revised design maximizing the performance per design criteria.
Apparently, they still do:
Many Universities have such an offering, for those who are interested.
Eric
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... and here I thought that, given the application of industrial hydraulics for cranes, tractors, oil drills, shovels and harvesters, those would cover the twist/bend conditions handsomely, with the compression one being a given where the outer compression sleeve would be long enough to ensure that lateral stability.
Go figure!
Also, your original posting, and Roberts "re-statement of those
requirements", did not seem to suggest tensegrity, but your last
response does. I am a bit confused by that "shift", but I don't
think it precludes the crimp-style connectors.
Eric
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Hi Dx G,
I am somewhat baffled by your discussion about the safety issues regarding industrial hydraulics.
I do hope you understand that it was never my intention to suggest that a Geodesic Structure become one sustained by internal pressurized hoses/tubing/piping!
I was strictly limiting myself to the physical/mechanical configuration of the crimp-based connectors that are used by that industry as a reference point for design ideas on the physical design of that universal connector ... never extending that into the idea of considering high-pressure systems as a basis for structural tensionning/stabilization.
I hope that clears up any possible confusion that may have arisen.
So ... in simple terms ... no hydraulics-based design!
Eric
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Dx G encouraged me to share this, given the current discussion of asymmetric loading.
For those who are interested, the attached is a Masters Thesis, published in 1984.
GEODESIC DOME ANALYSIS
by William Floyd Shirley
University of Arizona
ABSTRACT
Results of physical testing and analytical studies are presented
for two geodesic domes. The domes are of the Pease panel dome variety
with different diameters. Deflection distributions are reported for
domes having symmetrically and asymmetrically applied uniform loads.
The development of geodesic domes is discussed with particular
attention paid to the calculation of chord factors. Information
regarding the development of domes from various polyhedra is also
included.
Analytical studies concentrate on the evaluation of conventional
finite element models. Beam, bar, and trim elements are used in various
combinations to model the structure. Application of various modified
shell analyses are also included.
It is concluded that Pease panel domes, if adequately pre-loaded,
can be modelled using pinned-end beam elements or trim elements. The
load distribution behaviour of the domes, in regard to truss or membrane
action, is also discussed.
Two separate cases built and tested.
Case I - 39-foot wooden truncated dome
This test examines deflection over time.
Page 49 of the PDF (p. 33 of the thesis) gives an outline of the loading performed and what, where and how loads were being measured.
Deflection over time (it is creeping) and recovery (over time) for the wooden structures if provided on page 54 o the PDF.
Case II - 45-foot wooden truncated domes
This test examines assymetric loading and resulting deflections.
Loading is performed by both symmetric and asymmetric layout of
sandbags over panels to loading (snow, wind).
Page 66 is deflections for side A.
Page 67 is deflections for side B:
Eric
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Hey Robert,
Very good concept, but how do you fix the parts in the assembled joint.
All I am seeing is movable parts ... and no attachment to the struts.
Would you be suggesting the use of high-voltage current to "weld"
the hook tabs to the inner wall of the pipes/struts? (ring for
one welding pole, pipe for the other? Also, how to do that and
ensure uniform weld for all 4 linear contact points of the "cross"
joint that is inserted into the pipes/struts?
Eric
Everyone is after a universal dome connector. I had time this afternoon and modeled up one in SolidWorks. It's not completely universal but could be used in a lot of dome designs. The center hub is made from a short segment of 2 inch nominal schedule 80 steel pipe. the other pieces are laser/plasma/waterjet cut from 1/8 inch plate steel. The struts are 1 inch nominal PVC pipe. It's not off the shelf items. It's not found material. So, it's probably not what you guys are after. This is so simple and straight forward that i wouldn't doubt there's already a patent. I just haven't looked or have the time.
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Has anyone come across studies on magnitude of load for the effective tension failure as applied to various threads sizes, and depending on 100% thread circumference , vs 80%, vs 15% (approx, thread contact for Gerry's cross-point connector hook, if threaded into pipes), and whether that's a linear (or non-linear) relationship with the proportion of thread vs full thread?
Wondering to what extent the less-than-full-circumference has an impact on the strength of the tread profile (contact surface, shear section, etc.).
Eric
Sorry, Dx G,
Imagine grinding a slot of 1/8" on a 1/2 " down the center of the thread on the bolt end.
Rotate the bolt 90 degrees, and grind another slot.
That leaves you with approx. 50% of the thread on 4 thread segments.
Does that help?
Eric
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Also, making reference to Roberts concept of interlocking bars and comparing to my recent visualization model, the thread will not fail by internal bending collapse, given the rigid backing of the bars covering the full Internal Diameter.
So failure would be strictly from shear on the thread across the
midpoint of the threads (assuming pipe and bars have same
material composition) or the diameter where the shear
strength x thread section area balances out to the same
value for the two components, pipe and threaded connector.
I do feel, however, that partial threads would be weaker than
full-circumference threads, when comparing on a fractional basis,
because the segment ends would tend to have more of a bending
effect than if we were dealing with full threads, leading to
a lesser resistance to failure (at least that is what my gut tells
me 🙂).
Eric
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So, Ashok,
Your concept is
one of tensegrity (tension wires),
not
one of struts using connectors for
positioning/fastening/retention.
I was under the impression that the discussion on connector was focused on the latter.
Was I wrong?
Eric
Dear Eric
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Hey Dick,
Again, I might be wrong, but I don't think the tensegrity approach was in Robert's mind when he conceived the model for the connector design that he offered to the group.
Robert, am I wrong?
Eric
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On 01-Mar-2024, at 7:21 AM, Robert Clark <clark.rob...@gmail.com> wrote:
Eric,
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Thank you, Ashok,
I believe that I can visualize you description, but some may not have as much facility.
Regarding that design, it seems that there would be "surface" protrusion which would prevent the "smooth" laying of panels over the triangular faces.
Was that your intent?
Eric
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On 01-Mar-2024, at 8:40 AM, Eric Marceau <eajma...@gmail.com> wrote:
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On 01-Mar-2024, at 10:35 AM, Dx G <yipp...@gmail.com> wrote:
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On 01-Mar-2024, at 10:01 PM, Dx G <yipp...@gmail.com> wrote:
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Very nice. Thank you for informing us.
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