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. # struts <Member> struta pb1' pa1 -1.0 sqr(0.612372435695794) 1 Con * <Member> strutc1 pc2' pc1 -1.0 sqr(0.612372435695794) 1 Con * <Member> strutc2 pc3' pc2 -1.0 sqr(0.612372435695794) 1 Con * <Member> strutc3 pc4' pc3 -1.0 sqr(0.612372435695794) 1 Con * <Member> strutc4 pc1' pc4 -1.0 sqr(0.612372435695794) 1 Con * # interlayer tendons <Member> xltc1 pc1' pc1 1.0 0.0 3 Obj * <Member> xltc2 pc2' pc2 1.0 0.0 3 Obj * <Member> xltc3 pc3' pc3 1.0 0.0 3 Obj * <Member> xltc4 pc4' pc4 1.0 0.0 3 Obj * <Member> xltb1 pb1' pc1 1.0 sqr(0.281508125152624) 3 Con * <Member> xltb2 pb1' pc2 1.0 sqr(0.281508125152624) 3 Con * <Member> xltb3 pb1' pc3 1.0 sqr(0.281508125152624) 3 Con * <Member> xltb4 pb1' pc4 1.0 sqr(0.281508125152624) 3 Con * <Member> xlta1 pa1 pc1 1.0 sqr(0.543831936790269) 3 Con * <Member> xlta2 pa1 pc2 1.0 sqr(0.543831936790269) 3 Con * <Member> xlta3 pa1 pc3 1.0 sqr(0.543831936790269) 3 Con * <Member> xlta4 pa1 pc4 1.0 sqr(0.543831936790269) 3 Con * # end tendons <Member> endc1' pc2' pc1' 1.0 sqr(0.50) 4 Con * <Member> endc2' pc3' pc2' 1.0 sqr(0.50) 4 Con * <Member> endc3' pc4' pc3' 1.0 sqr(0.50) 4 Con * <Member> endc4' pc1' pc4' 1.0 sqr(0.50) 4 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 pin insertion point to pin insertion point, as are the tendon lengths. The values are in model units. struta: 0.612372 strutc1: 0.612372 strutc2: 0.612372 strutc3: 0.612372 strutc4: 0.612372 xltc1: 0.353553 xltc2: 0.353553 xltc3: 0.353553 xltc4: 0.353553 xltb1: 0.281508 xltb2: 0.281508 xltb3: 0.281508 xltb4: 0.281508 xlta1: 0.543832 xlta2: 0.543832 xlta3: 0.543832 xlta4: 0.543832 endc1': 0.5 endc2': 0.5 endc3': 0.5 endc4': 0.5
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. struta: -0.816497 strutc1: -0.612372 strutc2: -0.612372 strutc3: -0.612372 strutc4: -0.612372 xltc1: 0.353553 xltc2: 0.353553 xltc3: 0.353553 xltc4: 0.353553 xltb1: 0.444037 xltb2: 0.444037 xltb3: 0.444037 xltb4: 0.444037 xlta1: 0.22985 xlta2: 0.22985 xlta3: 0.22985 xlta4: 0.22985 endc1': 0.25 endc2': 0.25 endc3': 0.25 endc4': 0.25 Average tendon force magnitude: 0.31936
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 3/16-inch-diameter wooden dowel. The tendons were made of 15-lb.-test braided nylon fishing line. In this case, the attachment point at the hubs was a simple metal pin stuck into the end of the strut, so no member-length adjustments were necessary. Prestress forces are assumed not to affect strut lengths. Elongation of Tendon of Unit Cross Section Under Force of Average Magnitude (fraction)> .02 Length Scale Factor> 177/0.612372435695794 Strut and Tendon Hub Adjustments - s;t> 0 0 struta: 177 0 strutc1: 177 0 strutc2: 177 0 strutc3: 177 0 strutc4: 177 0 xltc1: 100 0 xltc2: 100 0 xltc3: 100 0 xltc4: 100 0 xltb1: 79 0 xltb2: 79 0 xltb3: 79 0 xltb4: 79 0 xlta1: 155 0 xlta2: 155 0 xlta3: 155 0 xlta4: 155 0 endc1': 142 1 endc2': 142 1 endc3': 142 1 endc4': 142 1
Four-fold Aspension Skylon with Point Labels
structure file: marcus/x4l2marcuse.rc variable file: marcus/x4l2marcuse.dat digit list: src/mm.dls |
CONTACT: Bob Burkhardt Tensegrity Solutions Box 426164 Cambridge, MA 02142-0021 USA e-mail: bobwb@juno.com |