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. # strut <Member> strut p2' p1 -1.0 0.0 1 Obj CalcClear Inelastic * # interlayer tendon <Member> side p1' p1 1.0 sqr(0.843400773893062) 3 Con CalcClear * # bottom tendon <Member> bottom p2 p1 1.0 sqr(1.0) 2 Con CalcClear * # top tendon <Member> top p2' p1' 1.0 sqr(1.0) 4 Con CalcClear * 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. strut: 1.36603 side: 0.843401 bottom: 1 top: 1 Relative Member 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. strut: -1.36603 side: 0.843401 bottom: 0.57735 top: 0.57735 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> 319/1.36602540378379 Strut and Tendon Hub Adjustments - s;t> 6.5 4 (The 6.5 mm adjustment for the strut is the amount the screw-eye center extends from the dowel. The 4 mm adjustment for the tendon is half the outer diameter of the screw eye.) strut: 306 0 side: 184 1 bottom: 221 1 top: 221 1 Alternative Construction Lengths (inches, 16ths and 32nds) The struts here were cut from 1-inch by 1-inch hardwood garden stakes. The tendon were made of single strands of twisted #18 nylon twine. Its behavior under stress is highly non-linear, so a look-up table was used to compute strains. This actually didn't work out very well. The ad hoc adjustments didn't do the job probably because they were so large in relation to the tendon lengths. Average Tendon Force Magnitude (chart units)> 20 Length Scale Factor> 12/1.36602540378379 Strut and Tendon Hub Adjustments - s;t> 0 0.5 strut: 12 0 0 side: 5 12 1 bottom: 7 3 0 top: 7 3 0
View of the Tensegrity Prism
with Point Labels
Tensegrity Prism Reflected in Spruce Swamp
Shirley Center, Massachusetts
structure file: tprism/x3prism_ortho.rc variable file: tprism/x3prism_ortho.dat digit list: src/mm.dls (for mm and halves) digit list: src/standard.dls (for inches, 16ths and 32nds) |
CONTACT:
Bob Burkhardt
Tensegrity Solutions
Box 426164
Cambridge, MA 02142-0021
USA
e-mail: bobwb@juno.com