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STATEMENT OF INTENT

Tensegrity is an efcient, light-weight structure

highly adaptive to different uses.

This element hopes to address the structural

desires of other elements, such as the support for

mezzanine levels, stairs or catwalks, extended

oor slabs, and carved voids. In addition, this

tensegrity structure can be deployed on its own

as a faade rainwater waterfall/light display or on

the roof as part of a greywater reuse system.

an incomplete taxonomy ofa tensegrity element

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LIST OF INPUTS

GEOMETRY INPUTS

V.1

x

XY PLANE

CENTER POINTat base circle

V.2

x

XZ PLANE

BOTTOM LEFT POINTat floor slab edge

x TOP LEFT POINTto become height of bay

x

BOTTOM RIGHat floor slab edge

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BASE RADIUS

HEIGHTHEIGHT

STRUT

DIAMETER

TENDON

DIAMETER

JUNCTION

RATIO

HEIGHT RATIO

RATIO

OF TOP RADIUS

TO BASE

BASE ROTATE

TWIST ANGLE

PARAMETER INPUTS SHARED BY V.1 AND V.2

LIST OF INPUTS

PARAMETER INPUTS

V.2 V.1

XZ PLANE

YZ PLANE

ROTATIONAL AXIS

YZ PLANE

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PARAMETER INPUTS

number of struts (5)

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number of struts (4)

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height (15)

number of struts (3)

strut diameter (0.1)

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base:top radius (1:2)

height (15)

number of struts (4)

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twist angle (140 deg)

base:top radius (1:5)

height (15)

number of struts (4)

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twist angle (20 deg)

center junction : height (1.25 : 1)

base:top radius (1:3)

number of struts (8)

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number of struts (3)

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center junction : height (1 : 1)

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base:top radius (4:1)

number of struts (8)

center junction : height (0 : 1)

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15/33b t di (1 1 25)

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16/33b f t t (2)

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17/33b f t t (3)

V1 WORKS BETTER FOR STACKING

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V.2 V.1

V.1 WORKS BETTER FOR STACKING.USE two FORMULAS TO MAKE STRUTS LINE UP {if StrutCount is same}

BaseRadius = TopRadius.previous

BaseRotate = -360deg / StrutCount.previous - TwistAngle.previous

1 |

2 |

DESIGN MAP

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TOWER INSTANTIATE V.1 USING THE CENTER POINT AND THE XY PLANE

water catchment on roof

filtration

DESIGN MAP

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MEZZANINE INSTANTIATE ANOTHER ELEMENT TO V.1 USING THE CENTER POINT AND THE XY PLANE

DESIGN MAP

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MEZZANINE INSTANTIATE ANOTHER ELEMENT TO V.1 USING THE CENTER POINT AND THE XY PLANE

DESIGN MAP

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TO DETERMINE ANGLES (FORCE FECTORS) AND SIZING OF MEMBERS

LOAD CALCULATIONS KNOWLEDGE PATTERNS THAT CALCULATE STRUCTURAL REQUIREMENTS

CENTER OF GRAVITY AND FEED THE DATA BACK INTO THE SYSTEM

DESIGN MAP

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MEASURE OF ANGLES TOWARD RAINWATER PERFORM TRANSFORMATIONS TO GET MOST ACCURATE MEASURE OF RAINWATER

volume of rainwater capture

rain plane

* use of fabric to capture, filter, distribute rainwater

place the rain plane offset from groundplane

compute area of rain coverage from above

of course considering wind

let RUNCODE (boolean)let strut (udfSTRUT) RUNCODE = `OtherElements\PCstrut\Parameters\Positioning\RUNCODE`

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let tendonB (udfTENDON)

let tendonT (udfTENDON)

let tendonD (udfTENDON)

let count (integer)

let i (integer)

let groundplnN (direction)

let Cb (point)

let rotaxis (line)

let Height (length)

let HeightRatio (real)let chosenPT (point)

let resultLNb (line)

let chosenDIRb (direction)

let resultLNt (line)

let chosenDIRt (direction)

let BaseRad (length)

let TopScaleRatio (real)

let TopRad (length)

let Ct (point)

let BaseCIRC (circle)

let TopCIRC (circle)

let slabedge (line)

let extremB (point)

let extremT (point)

let BaseRotate (angle)

let TwistAngle (angle)

let BaseStart (point)

let TopStart (point)

let Reverse (boolean)

let StrutCount (integer)

let strutptB (point)

let strutptT (point)

let TENDONb (point)let TENDONt (point)

let tendonB (curve)

let tendonT (curve)

let tendonD (curve)

let StrutDimN (length)

let TendonDimN (length)

let central (point)

let Central (real)

If RUNCODE == "true"

{

groundplnN = direction(`AttrPT\reverseground`)

count = `OtherElements\PCstrut\InternalKP\InputGeo\Geo` .Size()

Cb = CreateOrModifyDatum("point", OtherElements\PCstrut\outputGEO` , OtherElements\PCstrut\InternalKP\Inp

Cb = (`AttrPT\PointGrid\skygrid\Point.3410`)

Height = `OtherElements\PCstrut\Parameters\Geometry\Height`

count = `OtherElements\PCstrut\InternalKP\InputGeo\Geo` .Size()rotaxis = CreateOrModifyDatum("line",`OtherElements\PCstrut\outputGEO` , OtherElements\PCstrut\InternalKP\In

rotaxis = line(Cb,groundplnN,0 ft, Height, true)

rotaxis.Color = "#C0C0C0"

HeightRatio = `OtherElements\PCstrut\Parameters\Geometry\HeightRatio`

count = `OtherElements\PCstrut\InternalKP\InputGeo\Geo` .Size()

Ct = CreateOrModifyDatum("point",`OtherElements\PCstrut\outputGEO` , OtherElements\PCstrut\InternalKP\Input

Ct = pointoncurveRatio(rotaxis,Cb, HeightRatio, true)

BaseRad = `OtherElements\PCstrut\Parameters\Geometry\BaseRad`

TopRad = BaseRad * `OtherElements\PCstrut\Parameters\Geometry\TopRadRatio`

count = `OtherElements\PCstrut\InternalKP\InputGeo\Geo` .Size()

BaseCIRC = CreateOrModifyDatum("circle",`OtherElements\PCstrut\outputGEO` , `OtherElements\PCstrut\InternalK

BaseCIRC = circleCtrRadius(Cb,`AttrPT\reverseground` ,BaseRad,1,0,360)

count = `OtherElements\PCstrut\InternalKP\InputGeo\Geo` .Size()

TopCIRC = CreateOrModifyDatum("circle",`OtherElements\PCstrut\outputGEO` , `OtherElements\PCstrut\InternalK

TopCIRC = circleCtrRadius(Ct,`AttrPT\reverseground` ,TopRad,1,0,360)

BaseCIRC.Show = false

TopCIRC.Show = false

chosenPT = AttrPT\attrPT`resultLNb = line(chosenPT, Cb)

chosenDIRb = direction(resultLNb)

resultLNt = line(chosenPT, Ct)

chosenDIRt = direction(resultLNt)

extremB = extremum(BaseCIRC,chosenDIRb,true,chosenDIRb,true,chosenDIRb,true)

extremT = extremum(TopCIRC,chosenDIRt,true,chosenDIRt,true,chosenDIRt,true)

BaseRotate = `OtherElements\PCstrut\Parameters\Geometry\BaseRotate` / 360degcount = `OtherElements\PCstrut\InternalKP\InputGeo\Geo` .Size()

BaseStart = CreateOrModifyDatum("point",`OtherElements\PCstrut\outputGEO` , `OtherElements\PCstrut\InternalKP\InputGeo\Geo` , count+1)

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tGeo\Geo` , count+1)

putGeo\Geo` , count+1)

tGeo\Geo` , count+1)

P\InputGeo\Geo` , count+1)

P\InputGeo\Geo` , count+1)

BaseStart CreateOrModifyDatum( point , OtherElements\PCstrut\outputGEO , OtherElements\PCstrut\InternalKP\InputGeo\Geo , count+1)

BaseStart = pointoncurveRatio(BaseCIRC,extremB, BaseRotate, Reverse)

TwistAngle = OtherElements\PCstrut\Parameters\Geometry\TwistAngle` / 360deg

count = `OtherElements\PCstrut\InternalKP\InputGeo\Geo` .Size()

TopStart = CreateOrModifyDatum("point",`OtherElements\PCstrut\outputGEO` , `OtherElements\PCstrut\InternalKP\InputGeo\Geo` , count+1)

TopStart = pointoncurveRatio(TopCIRC,extremT, TwistAngle, Reverse)

StrutCount = `OtherElements\PCstrut\Parameters\StrutGeometry\StrutCount`

StrutDimN = `OtherElements\PCstrut\Parameters\StrutGeometry\StrutDimN`

TendonDimN =`OtherElements\PCstrut\Parameters\TendonGeometry\TendonDimN`

i = 1

for i while i

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RUTS` , i)

eo\TENDONb , i)

eo\TENDONt , i)

p p ( )

tendonD.pt2 = `OtherElements\PCstrut\InternalKP\InputGeo\STRUTb` .GetItem(i+1)

tendonD.TendonDim = TendonDimN

EndModifyTemplate(tendonD)

i = i+1

}

for i while i == StrutCount

{

count = `OtherElements\PCstrut\InternalKP\InputGeo\TENDONb` .Size()

tendonB = CreateOrModifyTemplate("tmd2118CatalogUF|udfTENDON", OtherElements\PCstrut\TendonUDFs` ,`OtherElements\PCstrut\InternalKP\InputGetendonB.pt1 = `OtherElements\PCstrut\InternalKP\InputGeo\STRUTb` .GetItem(i)

tendonB.pt2 = `OtherElements\PCstrut\InternalKP\InputGeo\STRUTb` .GetItem(1)

tendonB.TendonDim = TendonDimN

EndModifyTemplate(tendonB)

count = `OtherElements\PCstrut\InternalKP\InputGeo\TENDONt` .Size()

tendonT = CreateOrModifyTemplate("tmd2118CatalogUF|udfTENDON", OtherElements\PCstrut\TendonUDFs` ,`OtherElements\PCstrut\InternalKP\InputGe

tendonT.pt1 = `OtherElements\PCstrut\InternalKP\InputGeo\STRUTt` .GetItem(i)

tendonT.pt2 = `OtherElements\PCstrut\InternalKP\InputGeo\STRUTt` .GetItem(1)

tendonT.TendonDim = TendonDimN

EndModifyTemplate(tendonT)

count = `OtherElements\PCstrut\InternalKP\InputGeo\TENDONd` .Size()

tendonD = CreateOrModifyTemplate("tmd2118CatalogUF|udfTENDON", OtherElements\PCstrut\TendonUDFs` ,`OtherElements\PCstrut\InternalKP\InputGe

tendonD.pt1 = `OtherElements\PCstrut\InternalKP\InputGeo\STRUTt` .GetItem(i)

tendonD.pt2 = `OtherElements\PCstrut\InternalKP\InputGeo\STRUTb` .GetItem(1)

tendonD.TendonDim = TendonDimN

EndModifyTemplate(tendonD)

}

Central = `OtherElements\PCstrut\Parameters\Junction\Central`

count = `OtherElements\PCstrut\InternalKP\InputGeo\Junction` .Size()central = CreateOrModifyDatum("point",`OtherElements\PCstrut\outputGEO` , `OtherElements\PCstrut\InternalKP\InputGeo\Junction` , count+1)

central = pointoncurveRatio(rotaxis,Cb,Central,true)

i = 1

for i while i

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\TENDONb` , count+1)

\TENDONt` , count+1)

\TENDONd` , count+1)

{

count = `OtherElements\PCstrut\InternalKP\InputGeo\LINKS` .Size()

linkT = CreateOrModifyDatum("curve",`OtherElements\PCstrut\LINKS` , `OtherElements\PCstrut\InternalKP\InputGeo\LINKS` , count+1)

linkT = line(`OtherElements\PCstrut\InternalKP\InputGeo\Junction` .GetItem(1), `OtherElements\PCstrut\InternalKP\InputGeo\STRUTt` .GetIte

i = i +1

}

OtherElements\PCstrut\InternalKP\ListsTendons`.Update()

}

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