Axial View of the Ten-Stage Tensegrity Torus
with Point Labels
Schematic for the Tensegrity Torus
Ten-Stage Tensegrity Torus Hovering Over
Shirley Center, Massachusetts
Member Descriptions
[name, end point names, weight (if in objective function),
second power of length (if a constraint), member category,
Obj/Con/Exc (put in objective function, use as a constraint or
exclude from computations), flags]
For assembly purposes, only the name and end point names are
of interest. The other information may be of interest after
A Practical Guide to Tensegrity Design has been consulted.
<Member> st13a pt1A pt3c 0.0 sqr(2.5) 1 Con CalcClear Inelastic *
<Member> st24a pt2A pt4a 0.0 sqr(2.5) 1 Con CalcClear Inelastic *
<Member> guy1a pt1A pt3b 1.00 0.0 3 Obj *
<Member> guy2a pt2A pt4b 1.00 0.0 3 Obj *
<Member> TS23a pt2A pt3a 0.0 sqr(1.0) 2 Con *
<Member> tS23a pt2A pt3b 0.0 sqr(1.0) 2 Con *
<Member> tT31a pt3a pt1C+ 2.40 0.0 3 Obj *
<Member> tT42a pt4a- pt2C 2.40 0.0 3 Obj *
<Member> TS41a pt4a pt1B+ 0.0 sqr(1.0) 2 Con *
<Member> tS41a pt4a pt1C+ 0.0 sqr(1.0) 2 Con *
<Member> st13b pt1B pt3a 0.0 sqr(2.5) 1 Con CalcClear Inelastic *
<Member> st24b pt2B pt4b 0.0 sqr(2.5) 1 Con CalcClear Inelastic *
<Member> guy1b pt1B pt3c 1.00 0.0 3 Obj *
<Member> guy2b pt2B pt4c 1.00 0.0 3 Obj *
<Member> TS23b pt2B pt3b 0.0 sqr(1.0) 2 Con *
<Member> tS23b pt2B pt3c 0.0 sqr(1.0) 2 Con *
<Member> tT31b pt3b pt1A+ 2.40 0.0 3 Obj *
<Member> tT42b pt4b- pt2A 2.40 0.0 3 Obj *
<Member> TS41b pt4b pt1C+ 0.0 sqr(1.0) 2 Con *
<Member> tS41b pt4b pt1A+ 0.0 sqr(1.0) 2 Con *
<Member> st13c pt1C pt3b 0.0 sqr(2.5) 1 Con CalcClear Inelastic *
<Member> st24c pt2C pt4c 0.0 sqr(2.5) 1 Con CalcClear Inelastic *
<Member> guy1c pt1C pt3a 1.00 0.0 3 Obj *
<Member> guy2c pt2C pt4a 1.00 0.0 3 Obj *
<Member> TS23c pt2C pt3c 0.0 sqr(1.0) 2 Con *
<Member> tS23c pt2C pt3a 0.0 sqr(1.0) 2 Con *
<Member> tT31c pt3c pt1B+ 2.40 0.0 3 Obj *
<Member> tT42c pt4c- pt2B 2.40 0.0 3 Obj *
<Member> TS41c pt4c pt1A+ 0.0 sqr(1.0) 2 Con *
<Member> tS41c pt4c pt1B+ 0.0 sqr(1.0) 2 Con *
In-Situ Member Lengths
These are the lengths of the members when they are in place
and prestress is applied. The strut lengths are from
screw-eye center to screw-eye center, as are the tendon lengths.
The values are in model units.
st13a: 2.5 st24a: 2.5 guy1a: 2.08701
guy2a: 1.76112 TS23a: 1 tS23a: 1
tT31a: 0.593656 tT42a: 0.93513 TS41a: 1
tS41a: 1 st13b: 2.5 st24b: 2.5
guy1b: 2.43311 guy2b: 2.43311 TS23b: 1
tS23b: 1 tT31b: 0.93513 tT42b: 0.593656
TS41b: 1 tS41b: 1 st13c: 2.5
st24c: 2.5 guy1c: 1.76112 guy2c: 2.08701
TS23c: 1 tS23c: 1 tT31c: 1.19033
tT42c: 1.19033 TS41c: 1 tS41c: 1
Relative Member Prestress Force Magnitudes
These values are useful for developing an assembly
strategy for the structure. The tighter tendons are much
easier to tie in place early on, while the looser tendons
can be left to the last. This information is also used
to adjust tendon lengths since the measured length of a tendon
will be shorter for a highly-stressed tendon with the same
in-situ length as a tendon which is not so stressed.
st13a: -3.86295 st24a: -5.38353 guy1a: 2.08701
guy2a: 1.76112 TS23a: 3.63978 tS23a: 2.20898
tT31a: 1.42478 tT42a: 2.24431 TS41a: 2.9384
tS41a: 2.20898 st13b: -5.46398 st24b: -5.46398
guy1b: 2.43311 guy2b: 2.43311 TS23b: 2.9384
tS23b: 3.0366 tT31b: 2.24431 tT42b: 1.42478
TS41b: 3.63978 tS41b: 3.20531 st13c: -5.38353
st24c: -3.86295 guy1c: 1.76112 guy2c: 2.08701
TS23c: 2.0248 tS23c: 3.20531 tT31c: 2.8568
tT42c: 2.8568 TS41c: 2.0248 tS41c: 3.0366
Average tendon force magnitude: 2.48842
Construction Lengths (in millimeters and halves)
The construction length of a tendon is less than the in-situ
length since when the tendon is measured off it isn't under
any prestress force. The construction length for the strut
represents the length of the 5/16-inch-diameter wooden dowel.
The tendons were made of braided nylon fishing line.
Prestress forces were assumed not to affect strut lengths.
Elongation of Tendon of Unit Cross Section
Under Force of Average Magnitude (fraction)> .02
Length Scale Factor> 238/2.5
Strut and Tendon Hub Adjustments - s;t> 4 3.5
(The 4 mm adjustment for the strut is the amount
the screw-eye center extends from the dowel. The 3.5 mm
adjustment for the tendon is half the outer diameter of the
screw eye.)
st13a: 230 0 st24a: 230 0 guy1a: 188 1 guy2a: 158 1
TS23a: 85 1 tS23a: 86 1 tT31a: 49 0 tT42a: 80 1
TS41a: 86 0 tS41a: 86 1 st13b: 230 0 st24b: 230 0
guy1b: 220 1 guy2b: 220 1 TS23b: 86 0 tS23b: 86 0
tT31b: 80 1 tT42b: 49 0 TS41b: 85 1 tS41b: 86 0
st13c: 230 0 st24c: 230 0 guy1c: 158 1 guy2c: 188 1
TS23c: 87 0 tS23c: 86 0 tT31c: 104 0 tT42c: 104 0
TS41c: 87 0 tS41c: 86 0
Axial View of the Ten-Stage Tensegrity Torus
with Point Labels
Schematic for the Tensegrity Torus
Ten-Stage Tensegrity Torus Hovering Over
Shirley Center, Massachusetts
structure file: torus/x3l10torus1.rc
variable file: torus/x3l10torus1.dat
digit list: src/mm.dls
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CONTACT:
Bob Burkhardt
Tensegrity Solutions
Box 426164
Cambridge, MA 02142-0021
USA
e-mail: bobwb@juno.com