Skew Prism Arch with Point Labels
structure file: mast/x3l6mast2b.rc
variable file: mast/x3l6mast2b.dat
digit list: src/mm.dls
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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> end1a pt1A pt1B 1.0 sqr(1.0) 2 Con *
<Member> strut13a pt1A pt2B -1.0 2.0 1 Con CalcClear *
<Member> guy1a pt1A pt2A 1.0 2.0 3 Con *
<Member> eq1aa pt2A pt3a 1.0 sqr(1.0) 2 Con *
<Member> eq1ba pt2A pt3b 1.0 sqr(1.0) 2 Con *
<Member> strut24a pt3a pt3B -1.0 sqr(1.90158497148680) 1 Obj CalcClear *
<Member> guy2a pt3A pt3a 1.0 sqr(1.28527187343639) 3 Con *
<Member> eq2aa pt3A pt4a 1.0 sqr(1.0) 2 Con *
<Member> eq2ba pt3A pt4b 1.0 sqr(1.0) 2 Con *
<Member> strut35a pt4a pt5b -1.0 sqr(2.11708545117312) 1 Obj CalcClear *
<Member> guy3a pt4a pt5a 1.0 sqr(1.37257954094310) 3 Con *
<Member> eq3aa pt4A pt5a 1.0 sqr(1.0) 2 Con *
<Member> eq3ba pt4A pt5b 1.0 sqr(1.0) 2 Con *
<Member> strut46a pt4A pt5C -1.0 sqr(2.61688291892345) 1 Obj CalcClear *
<Member> guy4a pt4A pt5B 1.0 sqr(1.37257954094310) 3 Con *
<Member> eq4aa pt5A pt6a 1.0 sqr(1.0) 2 Con *
<Member> eq4ba pt5A pt6b 1.0 sqr(1.0) 2 Con *
<Member> strut57a pt6a pt7b -1.0 sqr(1.90158497148680) 1 Obj CalcClear *
<Member> guy5a pt6a pt7a 1.0 sqr(1.00893468194483) 3 Con *
<Member> eq5a pt6A pt7a 1.0 sqr(1.0) 2 Con *
<Member> strut68a pt6A pt8a -1.0 sqr(2.23606797749979) 1 Con CalcClear *
<Member> guy6a pt6A pt8c 1.0 2.0 3 Con *
<Member> eq6a pt6A pt7b 1.0 sqr(1.0) 2 Con *
<Member> end2a pt8a pt8b 1.0 sqr(1.0) 2 Con *
<Member> end1b pt1B pt1C 1.0 sqr(1.0) 2 Con *
<Member> strut13b pt1B pt2C -1.0 4.0 1 Con CalcClear *
<Member> guy1b pt1B pt2B 1.0 sqr(1.0) 3 Con *
<Member> eq1ab pt2B pt3b 1.0 sqr(1.0) 2 Con *
<Member> eq1bb pt2B pt3c 1.0 sqr(1.0) 2 Con *
<Member> strut24b pt3b pt3C -1.0 sqr(2.11708545117312) 1 Obj CalcClear *
<Member> guy2b pt3B pt3b 1.0 sqr(1.00893468194483) 3 Con *
<Member> eq2ab pt3B pt4b 1.0 sqr(1.0) 2 Con *
<Member> eq2bb pt3B pt4c 1.0 sqr(1.0) 2 Con *
<Member> strut35b pt4b pt5c -1.0 sqr(1.90158497148680) 1 Obj CalcClear *
<Member> guy3b pt4b pt5b 1.0 sqr(1.00893468194483) 3 Con *
<Member> eq3ab pt4B pt5b 1.0 sqr(1.0) 2 Con *
<Member> eq3bb pt4B pt5c 1.0 sqr(1.0) 2 Con *
<Member> strut46b pt4B pt5A -1.0 sqr(1.90158497148680) 1 Obj CalcClear *
<Member> guy4b pt4B pt5C 1.0 sqr(1.28527187343639) 3 Con *
<Member> eq4ab pt5B pt6b 1.0 sqr(1.0) 2 Con *
<Member> eq4bb pt5B pt6c 1.0 sqr(1.0) 2 Con *
<Member> strut57b pt6b pt7c -1.0 sqr(2.61688291892345) 1 Obj CalcClear *
<Member> guy5b pt6b pt7b 1.0 sqr(1.28527187343639) 3 Con *
<Member> eq5b pt6B pt7b 1.0 sqr(1.0) 2 Con *
<Member> strut68b pt6B pt8b -1.0 4.0 1 Con CalcClear *
<Member> guy6b pt6B pt8a 1.0 2.0 3 Con *
<Member> eq6b pt6B pt7c 1.0 sqr(1.0) 2 Con *
<Member> end2b pt8b pt8c 1.0 sqr(1.0) 2 Con *
<Member> end1c pt1C pt1A 1.0 sqr(1.0) 2 Con *
<Member> strut13c pt1C pt2A -1.0 sqr(2.23606797749979) 1 Con CalcClear *
<Member> guy1c pt1C pt2C 1.0 2.0 3 Con *
<Member> eq1ac pt2C pt3c 1.0 sqr(1.0) 2 Con *
<Member> eq1bc pt2C pt3a 1.0 sqr(1.0) 2 Con *
<Member> strut24c pt3c pt3A -1.0 sqr(2.61688291892345) 1 Obj CalcClear *
<Member> guy2c pt3C pt3c 1.0 sqr(1.37257954094310) 3 Con *
<Member> eq2ac pt3C pt4c 1.0 sqr(1.0) 2 Con *
<Member> eq2bc pt3C pt4a 1.0 sqr(1.0) 2 Con *
<Member> strut35c pt4c pt5a -1.0 sqr(2.61688291892345) 1 Obj CalcClear *
<Member> guy3c pt4c pt5c 1.0 sqr(1.28527187343639) 3 Con *
<Member> eq3ac pt4C pt5c 1.0 sqr(1.0) 2 Con *
<Member> eq3bc pt4C pt5a 1.0 sqr(1.0) 2 Con *
<Member> strut46c pt4C pt5B -1.0 sqr(2.11708545117312) 1 Obj CalcClear *
<Member> guy4c pt4C pt5A 1.0 sqr(1.00893468194483) 3 Con *
<Member> eq4ac pt5C pt6c 1.0 sqr(1.0) 2 Con *
<Member> eq4bc pt5C pt6a 1.0 sqr(1.0) 2 Con *
<Member> strut57c pt6c pt7a -1.0 sqr(2.11708545117312) 1 Obj CalcClear *
<Member> guy5c pt6c pt7c 1.0 sqr(1.37257954094310) 3 Con *
<Member> eq5c pt6C pt7c 1.0 sqr(1.0) 2 Con *
<Member> strut68c pt6C pt8c -1.0 2.0 1 Con CalcClear *
<Member> guy6c pt6C pt8b 1.0 sqr(1.0) 3 Con *
<Member> eq6c pt6C pt7a 1.0 sqr(1.0) 2 Con *
<Member> end2c pt8c pt8a 1.0 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 pin insertion
point to pin insertion point, as are the tendon lengths.
The values are in model units.
end1a: 1 strut13a: 1.41421 guy1a: 1.41421
eq1aa: 1 eq1ba: 1 strut24a: 1.90158
guy2a: 1.28527 eq2aa: 1 eq2ba: 1
strut35a: 2.11709 guy3a: 1.37258 eq3aa: 1
eq3ba: 1 strut46a: 2.61688 guy4a: 1.37258
eq4aa: 1 eq4ba: 1 strut57a: 1.90158
guy5a: 1.00893 eq5a: 1 strut68a: 2.23607
guy6a: 1.41421 eq6a: 1 end2a: 1
end1b: 1 strut13b: 2 guy1b: 1
eq1ab: 1 eq1bb: 1 strut24b: 2.11709
guy2b: 1.00893 eq2ab: 1 eq2bb: 1
strut35b: 1.90158 guy3b: 1.00893 eq3ab: 1
eq3bb: 1 strut46b: 1.90158 guy4b: 1.28527
eq4ab: 1 eq4bb: 1 strut57b: 2.61688
guy5b: 1.28527 eq5b: 1 strut68b: 2
guy6b: 1.41421 eq6b: 1 end2b: 1
end1c: 1 strut13c: 2.23607 guy1c: 1.41421
eq1ac: 1 eq1bc: 1 strut24c: 2.61688
guy2c: 1.37258 eq2ac: 1 eq2bc: 1
strut35c: 2.61688 guy3c: 1.28527 eq3ac: 1
eq3bc: 1 strut46c: 2.11709 guy4c: 1.00893
eq4ac: 1 eq4bc: 1 strut57c: 2.11709
guy5c: 1.37258 eq5c: 1 strut68c: 1.41421
guy6c: 1 eq6c: 1 end2c: 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.
end1a: 1.73205 strut13a: -2.44949 guy1a: 2.44949
eq1aa: 1.73205 eq1ba: 1.73205 strut24a: -1.90158
guy2a: 1.28527 eq2aa: 1.73205 eq2ba: 1.73205
strut35a: -2.11709 guy3a: 1.37258 eq3aa: 1.73205
eq3ba: 1.73205 strut46a: -2.61688 guy4a: 1.37258
eq4aa: 1.73205 eq4ba: 1.73205 strut57a: -1.90158
guy5a: 1.00893 eq5a: 1.73205 strut68a: -3.87298
guy6a: 2.44949 eq6a: 1.73205 end2a: 1.73205
end1b: 1.73205 strut13b: -3.4641 guy1b: 1.73205
eq1ab: 1.73205 eq1bb: 1.73205 strut24b: -2.11709
guy2b: 1.00893 eq2ab: 1.73205 eq2bb: 1.73205
strut35b: -1.90158 guy3b: 1.00893 eq3ab: 1.73205
eq3bb: 1.73205 strut46b: -1.90158 guy4b: 1.28527
eq4ab: 1.73205 eq4bb: 1.73205 strut57b: -2.61688
guy5b: 1.28527 eq5b: 1.73205 strut68b: -3.4641
guy6b: 2.44949 eq6b: 1.73205 end2b: 1.73205
end1c: 1.73205 strut13c: -3.87298 guy1c: 2.44949
eq1ac: 1.73205 eq1bc: 1.73205 strut24c: -2.61688
guy2c: 1.37258 eq2ac: 1.73205 eq2bc: 1.73205
strut35c: -2.61688 guy3c: 1.28527 eq3ac: 1.73205
eq3bc: 1.73205 strut46c: -2.11709 guy4c: 1.00893
eq4ac: 1.73205 eq4bc: 1.73205 strut57c: -2.11709
guy5c: 1.37258 eq5c: 1.73205 strut68c: -2.44949
guy6c: 1.73205 eq6c: 1.73205 end2c: 1.73205
Average tendon force magnitude: 1.67191
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 12-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> 88/sqrt(2)
Strut and Tendon Hub Adjustments - s;t> 0 0
end1a: 61 0 strut13a: 88 0 guy1a: 85 1 eq1aa: 61 0
eq1ba: 61 0 strut24a: 118 1 guy2a: 79 0 eq2aa: 61 0
eq2ba: 61 0 strut35a: 131 1 guy3a: 84 0 eq3aa: 61 0
eq3ba: 61 0 strut46a: 163 0 guy4a: 84 0 eq4aa: 61 0
eq4ba: 61 0 strut57a: 118 1 guy5a: 62 0 eq5a: 61 0
strut68a: 139 0 guy6a: 85 1 eq6a: 61 0 end2a: 61 0
end1b: 61 0 strut13b: 124 1 guy1b: 61 0 eq1ab: 61 0
eq1bb: 61 0 strut24b: 131 1 guy2b: 62 0 eq2ab: 61 0
eq2bb: 61 0 strut35b: 118 1 guy3b: 62 0 eq3ab: 61 0
eq3bb: 61 0 strut46b: 118 1 guy4b: 79 0 eq4ab: 61 0
eq4bb: 61 0 strut57b: 163 0 guy5b: 79 0 eq5b: 61 0
strut68b: 124 1 guy6b: 85 1 eq6b: 61 0 end2b: 61 0
end1c: 61 0 strut13c: 139 0 guy1c: 85 1 eq1ac: 61 0
eq1bc: 61 0 strut24c: 163 0 guy2c: 84 0 eq2ac: 61 0
eq2bc: 61 0 strut35c: 163 0 guy3c: 79 0 eq3ac: 61 0
eq3bc: 61 0 strut46c: 131 1 guy4c: 62 0 eq4ac: 61 0
eq4bc: 61 0 strut57c: 131 1 guy5c: 84 0 eq5c: 61 0
strut68c: 88 0 guy6c: 61 0 eq6c: 61 0 end2c: 61 0
Material Quantities (in millimeters)
Estimates of the total amount of material required to build
the structure. The adjustment in this case includes "waste":
for the strut, the amount lost when sawing the strut from a
length of dowel (1 mm from each end); for the tendons, the amount
of extra needed to successfully tie the tendon (50 mm extra at
each end).
Elongation of Tendon of Unit Cross Section
Under Force of Average Magnitude (fraction)> .02
Length Scale Factor> 88/sqrt(2)
Strut and Tendon Adjustments - s;t> -1, -50
Cross
Type Section Quantity Count
2 1 5721.57 36
1 1 2390.78 18
3 1 3130.48 18
Strts 2390.78 18
Tndns 8852.05 54
Skew Prism Arch with Point Labels
structure file: mast/x3l6mast2b.rc
variable file: mast/x3l6mast2b.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 |
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Structure Based on Laminated Skew Prisms
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