After creating a number of computer models, I realized that, ultimately, there could be
no substitute for an actual physical model of the suspension building. Computer models
provided a good picture, but I needed to know how the structure feels. This was especially
true because the geometry is so completely new and different from standard structures.
Consequently I embarked on a project to fabricate prototype components at 20% scale. At this
scale the model would behave much like a full-sized version and yet be small enough to transport
fairly easily. Still, the tower and base together stand almost 14 feet high (4.25 meters).
Image 1 (below) shows the hub implementation, which can be compared to the design
in the components section (see tab above). The hub "risers" were cut from sections of 2x4
kiln-dried douglas fir. The horizontal plates were cut from 0.1" thick Lexan (polycarbonate) sheet.
⇑ Image 1 - close-up of hub at base level
The large model needed a base to simulate ground supports, so I worked out the joinery for a
pentagonal frame of 2x4s, combined with a cross leading to the center. All joints (except for
one) correspond to a base point for the model; thus the same bolt that reinforces the joint
also attaches the model.
Image 2 (below) shows the base construction. The 2x4s extend out from the pentagon, which
were intended to serve as handles; these were later found to be not needed and were getting
in the way, so they were eventually cut back.
⇑ Image 2 - base construction for the 20% model
Vertical struts were made with engineering (6061) aluminum tubing cut by hand with a pipe-cutter.
Horizontal members were made of 1x2 pine cut with a table saw. Of course, all holes were drilled
with a drill press.
Image 3 (below) shows the the first three levels being assembled. Because of the high degree
of triangulation it was necessary to exert a high degree of precision fabricating components
essentially by hand.
⇑ Image 3 - levels 1, 2 and 3 assembled for the tower
The "almost geodesic cap dome" on the top of the tower was fabricated with aluminum tubes
joined with short sections of flexible vinyl tubing. Joined sections were then drilled and
fastened together with bolts. Floor panels were cut from 4'x8' sheets of 6mm Celtec (expanded
PVC) and fastened to the frame with small screws.
Image 4 (below) shows the complete tower frame and flooring displayed at a local "mini" Maker Faire.
The model was found to be very strong and extremely stable, with no appreciable modes of vibration.
⇑ Image 4 - tower model at the 2017 Maker Faire
The 20% model received a lot of interest at the Maker Faires. It would have been good, of course,
to be able to display the entire suspension building. However, fabricating the outer floors and
creating the cable suspension system was beyond current resources. Also, transporting and
and displaying such a large model would have been prohibitively difficult.
Image 5 (below) shows an unobstructed view of the tower.
⇑ Image 5 - tower model at the 2018 Maker Faire
Image 6 (below) Even though the outer floors were not added to the tower, I took time out to
see how a single one of the largest floors would look. At 10 feet (3 meters) in diameter, it is
a large model indeed. These floors would comprise most of the open floor areas in the suspension
building design.
⇑ Image 6 - large floor trial layout
A primary consideration of the Towerdome system is structural efficiency due to joints that
that only function in tension or compression (i.e. a truss). There is no reliance on joint stiffness.
In order to test stability, I created a model with joints that are completely flexible, made
with vinyl tubing. Hardwood dowel rods are pushed into the tubing and locked by galvanized steel
wire pieces that go through and around the rod and tubing.
Image 7 (below) shows the complete suspension building. The outer floor suspension cables are
modeled with steel wire wrapped around outside fasteners and kept from sliding off using flat
washers.
⇑ Image 7 - flex model of the suspension building
It was originally thought that this type of a model with this many members might be impossible, since
the stacking of tubes at the joints is very imprecise and warps the angles. However, as construction
proceeded it was found to be indeed possible and actually a fairly close approximation to the correct shape.
Image 8 (below) shows a close-up view of the cap dome and upper portion of the model. In particular,
the stacking of tubes is clearly visible at the center of the cap dome floor. At this point there are
5 struts coming up from below, 10 floor beams and 5 cables, all coming in to the same joint!
⇑ Image 8 - close-up view of cap dome
Image 9 (below) provides a close view of a single joint. It may appear that the joint would be
loose and mushy, but the vinyl tubing, although completely flexible, is rather stiff in compression
and tension. The end result is a model that is surprisingly light, fairly strong and extremely
stable. Visitors to the Maker Faire were impressed that we could "simulate" earthquakes by sudden
movements of the model base; because it is so light it could easily move with the base and feel
completely tight.
⇑ Image 9 - close-up view of a flex joint
Regarding structural efficiency, it is extremely easy to create a truss that is light and strong;
simply make it fully triangulated. However, that tends to completely obstruct all usable floor space.
The key innovation in the Towerdome system is the creation of "sparse trusses" that have the strength
(or close to the strength) of a full truss but maintain internal voids for living spaces.
To test this idea (and avoid $5000+ for analysis software) I wrote a program that calculates
a basic static analysis and displays the results by coloring the members according to the resultant
stresses on them.
Image 10 (below) is the result of an even distribution of weight over all floors in the building.
I call this the "cocktail party", a load approximately equal to 275 average humans (@ 175 lbs) spaced evenly
at about the distance they would be at a party. This is about 50,000 lbs (about 22,500 kg), or about
7 lbs per square ft (34.25 kg per square meter).
The display color scheme is as follows: white color indicates a small amount of compression or
tension, with color mixing into the white up to 1750 lbs for full yellow compression or fully green
for tension. From 1750 to 3500 lbs color ramps to fully orange for compression, fully cyan for tension.
From 3500 to 5200 lbs the color ramps to fully red for compression, fully blue for tension.
⇑ Image 10 - structural analysis of an evenly distributed load
The analysis shows that tension load on the cable supports is fairly even, increasing to about
2000 lbs at the long "top" cables that go to the center. The compression load on the top level (between
floors 5 and 6) showing primarily yellow, maximum at about 2100 lbs. On the next level down, support
concentrates on the 5 upper extensions showing red, about 5200 lbs. The center "waist" section of the
tower distributes the load over 10 members, about 4000 lbs apiece. The lower part of the tower has
some concentration in the lower extensions (mirroring the upper extensions) but a substantial load
focuses on the center ground support, 5 members @ 4400 lbs each.
Conclusion: the structure nicely distributes load stresses to keep any particular member from
being overstressed. The upper and lower extensions take the most stress; if one of them fails stesses
are routed around the breakage and taken up by surrounding members. Results for this "built-in"
redundancy are too extensive to be shown at this time.
An exciting possibility is the idea of putting sensors into the hubs, with stress computations
conducted in real time to flag situations where stresses happen to go outside of a "safe range".
⇑ Paul Hansen - Towerdome author/inventor/designer