Tensegrity Tower Datasheet


Copyright © 2003, 2004 by Bob Burkhardt

        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> strut0103 p01A p03c 0.0 1.0 1 Con CalcClear Inelastic *
<Member> strut0204 p02A p04a 0.0 1.0 1 Con CalcClear Inelastic *
<Member> strut0305 p03A p05c 0.0 1.0 1 Con CalcClear Inelastic *
<Member> strut0406 p04A p06a 0.0 1.0 1 Con CalcClear Inelastic *
<Member> strut0507 p05A p07c 0.0 1.0 1 Con CalcClear Inelastic *
<Member> strut0608 p06A p08a 0.0 1.0 1 Con CalcClear Inelastic *
<Member> strut0709 p07A p09c 0.0 1.0 1 Con CalcClear Inelastic *
<Member> strut0810 p08A p10a 0.0 1.0 1 Con CalcClear Inelastic *

<Member> baset  p01A p01B 1.0 3/11 10 Obj *
<Member> apext  p10a p10b 1.0 3/11 10 Obj *

<Member> guy1   p01A p03b 0.54 sqr(0.852438) 3 Con *
<Member> guy2   p02A p04b 0.54 sqr(0.852438) 3 Con *
<Member> guy3   p03A p05b 0.54 sqr(0.852438) 3 Con *
<Member> guy4   p04A p06b 0.54 sqr(0.852438) 3 Con *
<Member> guy5   p05A p07b 0.54 sqr(0.852438) 3 Con *
<Member> guy6   p06A p08b 0.54 sqr(0.852438) 3 Con *
<Member> guy7   p07A p09b 0.54 sqr(0.852438) 3 Con *
<Member> guy8   p08A p10b 0.54 sqr(0.852438) 3 Con *

<Member> TL0102   p01A p02B 0.55 sqr(0.697289) 4 Con *
<Member> TS0203   p02A p03b 1.45 sqr(0.374736) 2 Con *
<Member> TL0203   p02A p03A 0.55 sqr(0.697289) 4 Con *
<Member> tS0203   p02A p03a 1.45 sqr(0.374736) 2 Con *
<Member> TS0304   p03A p04a 1.45 sqr(0.374736) 2 Con *
<Member> TL0304   p03A p04B 0.55 sqr(0.697289) 4 Con *
<Member> tS0304   p03A p04b 1.45 sqr(0.374736) 2 Con *
<Member> tL0304   p03a p04a 0.55 sqr(0.697289) 4 Con *
<Member> TS0405   p04A p05a 1.45 sqr(0.374736) 2 Con *
<Member> TL0405   p04A p05A 0.55 sqr(0.697289) 4 Con *
<Member> tS0405   p04A p05b 1.45 sqr(0.374736) 2 Con *
<Member> tL0405   p04a p05b 0.55 sqr(0.697289) 4 Con *
<Member> TS0506   p05A p06a 1.45 sqr(0.374736) 2 Con *
<Member> TL0506   p05A p06B 0.55 sqr(0.697289) 4 Con *
<Member> tS0506   p05A p06b 1.45 sqr(0.374736) 2 Con *
<Member> tL0506   p05a p06a 0.55 sqr(0.697289) 4 Con *
<Member> TS0607   p06A p07a 1.45 sqr(0.374736) 2 Con *
<Member> TL0607   p06A p07A 0.55 sqr(0.697289) 4 Con *
<Member> tS0607   p06A p07b 1.45 sqr(0.374736) 2 Con *
<Member> tL0607   p06a p07b 0.55 sqr(0.697289) 4 Con *
<Member> TS0708   p07A p08a 1.45 sqr(0.374736) 2 Con *
<Member> TL0708   p07A p08B 0.55 sqr(0.697289) 4 Con *
<Member> tS0708   p07A p08b 1.45 sqr(0.374736) 2 Con *
<Member> tL0708   p07a p08a 0.55 sqr(0.697289) 4 Con *
<Member> TS0809   p08A p09b 1.45 sqr(0.374736) 2 Con *
<Member> tS0809   p08A p09a 1.45 sqr(0.374736) 2 Con *
<Member> tL0809   p08c p09a 0.55 sqr(0.697289) 4 Con *
<Member> tL0910   p09a p10a 0.55 sqr(0.697289) 4 Con *


        In-Situ Member Lengths
        These are the lengths of the members when they are in place
        and prestress is applied.  These are raw unadjusted values and
        assume the hubs of the structure are single points.  The
        values are in model units.

strut0103:            1 strut0204:            1 strut0305:            1
strut0406:            1 strut0507:            1 strut0608:            1
strut0709:            1 strut0810:            1     baset:     0.505516
    apext:     0.505516      guy1:     0.852438      guy2:     0.852438
     guy3:     0.852438      guy4:     0.852438      guy5:     0.852438
     guy6:     0.852438      guy7:     0.852438      guy8:     0.852438
   TL0102:     0.697289    TS0203:     0.374736    TL0203:     0.697289
   tS0203:     0.374736    TS0304:     0.374736    TL0304:     0.697289
   tS0304:     0.374736    tL0304:     0.697289    TS0405:     0.374736
   TL0405:     0.697289    tS0405:     0.374736    tL0405:     0.697289
   TS0506:     0.374736    TL0506:     0.697289    tS0506:     0.374736
   tL0506:     0.697289    TS0607:     0.374736    TL0607:     0.697289
   tS0607:     0.374736    tL0607:     0.697289    TS0708:     0.374736
   TL0708:     0.697289    tS0708:     0.374736    tL0708:     0.697289
   TS0809:     0.374736    tS0809:     0.374736    tL0809:     0.697289
   tL0910:     0.697289


        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.

strut0103:      -2.6827 strut0204:     -4.15143 strut0305:     -5.21769
strut0406:     -5.77801 strut0507:     -5.77801 strut0608:     -5.21769
strut0709:     -4.15143 strut0810:      -2.6827     baset:     0.505516
    apext:     0.505516      guy1:     0.981182      guy2:      1.51838
     guy3:      1.90839      guy4:      2.11335      guy5:      2.11335
     guy6:      1.90839      guy7:      1.51838      guy8:     0.981182
   TL0102:      1.47524    TS0203:      1.69599    TL0203:      1.72623
   tS0203:      1.16793    TS0304:      2.15481    TL0304:      1.80983
   tS0304:      1.77144    tL0304:     0.556645    TS0405:      2.20323
   TL0405:      1.71791    tS0405:      2.40469    tL0405:      1.05936
   TS0506:      2.42136    TL0506:      1.45939    tS0506:      2.42136
   tL0506:      1.45939    TS0607:      2.40469    TL0607:      1.05936
   tS0607:      2.20323    tL0607:      1.71791    TS0708:      1.77144
   TL0708:     0.556645    tS0708:      2.15481    tL0708:      1.80983
   TS0809:      1.16793    tS0809:      1.69599    tL0809:      1.72623
   tL0910:      1.47524
 
        Average tendon prestress force magnitude: 1.61320

ray trace of tensegrity tower
Tensegrity Tower with Point Labels
schematic for tensegrity tower
Tensegrity Tower Schematic

        Loaded Member Force Magnitudes
        This is not relevant to assembly.  I wanted to look at what
        the effects of gravity on the structure might be.  I assumed
        the tendon material extends 1% at the average tendon prestress force
        magnitude and that the struts weigh 15% of the average tendon
        prestress force magnitude.  Like the numbers for
        Relative Member Force Magnitudes, these would have to
        be scaled to have any physical meaning, but comparing how
        the values change relative to Relative Member Force Magnitudes
        is meaningful.  The same scale factor would be used for both
        tables.  For example, if the average prestress force magnitude
        is 1000 pounds, a scale value of 1000/1.61320 would be applied
        to this table and Relative Member Force Magnitudes.
        In that case, the struts would weigh 150 pounds.

strut0103:     -3.86364 strut0204:     -6.02911 strut0305:     -7.03645
strut0406:     -7.09663 strut0507:     -6.66567 strut0608:     -5.78367
strut0709:     -4.48091 strut0810:     -2.86052     baset:     0.810677
    apext:     0.546486      guy1:     0.110407      guy2:      1.57784
     guy3:      2.02596      guy4:      2.09981      guy5:      2.04652
     guy6:      1.83663      guy7:      1.46952      guy8:      1.00994
   TL0102:      1.57397    TS0203:      2.86836    TL0203:      1.89178
   tS0203:        2.106    TS0304:      3.30393    TL0304:      1.82107
   tS0304:      2.94701    tL0304:     0.405727    TS0405:       3.1922
   TL0405:      1.65934    tS0405:      3.26805    tL0405:      1.21886
   TS0506:      3.03293    TL0506:      1.38832    tS0506:      3.14162
   tL0506:      1.61688    TS0607:      2.90316    TL0607:     0.999799
   tS0607:      2.61965    tL0607:      1.79607    TS0708:      2.02858
   TL0708:     0.531311    tS0708:      2.47261    tL0708:      1.83638
   TS0809:      1.30321    tS0809:      1.86987    tL0809:      1.72925
   tL0910:      1.48497

structure file:  obelisk3/x3l8obelisk4.rc
 variable file:  obelisk3/x3l8obelisk4.dat

CONTACT:

Bob Burkhardt
Tensegrity Solutions
Box 426164
Cambridge, MA 02142-0021
USA

e-mail: bobwb@juno.com

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