KEV I N SAS L AWSKY
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ARC H 363 (D ESIGN IM P L EM ENTAT I O N I I I - SYST EM S ) | S P RI NG 201 8 | M AGED GUERGUI S | T H EO DOR E S HE LTO N
ARCH 363 DESIGN IMPLEMENTATION III SYSTEMS | SPRING 2018 Maged Guerguis | Theodore Shelton
Introduction
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Statics Fundamentals 3 Forces Analysis | Vector Geometry Beams and Columns Reactions Internal Stress Forces Shear and Moment Diagrams
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Vector Active Systems 14 Planar Truss Structural Analysis Space Frame Structural Analysis Form Active Systems Funicular Curves Form Finding Hanging Model Tensile Structures
M ODU LE 1 — STATICS F UNDAMENTALS
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KEV I N SAS L AWSKY
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ARC H 363 (D ESIGN IM P L EM ENTAT I O N I I I - SYST EM S ) | S P RI NG 201 8 | M AGED GUERGUI S | T H EO DOR E S HE LTO N
FORM ACTIVE SYSTEMS
M ODU LE 1 — STATICS F UNDAMENTALS
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KEV I N SAS L AWSKY
STATICS FUNDAMENTALS FO RCES A N A LYSI S | V ECTOR GEO MET RY
Iteration 1
Iteration 3
The file was set up as we did in class but I planned ahead a wrote grasshopper Script to label the vectors and their forces The resultant vector was 271 kips. This makes sense as it is slightly larger that Vector B which is 200#
Just another iteration.
Iteration 2 From this point, I turned on the points of the line that was linked via grasshopper and started to move around the end points of the vectors. My script was set up to calculate the vector and show it and the end of the line as shown.
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ARC H 363 (D ESIGN IM P L EM ENTAT I O N I I I - SYST EM S ) | S P RI NG 201 8 | M AGED GUERGUI S | T H EO DOR E S HE LTO N
01 STATICS FUNDAMENTALS
02 BEAMS AND COLUMNS
03 VECTOR ACTIVE SYSTEMS
04 FORM ACTIVE SYSTEMS
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M ODU LE 1 — STATICS F UNDAMENTALS
KEV I N SAS L AWSKY
BEAMS AND COLUMNS FO RCES AN A LYSI S | V ECTOR GEO MET RY | MESH LOADS
Iteration 1 In this assignment we investigated the relationships between supports and loads and the various types of loads to their reactions on beams in a structural system. First, a rectangle was drawn to with two lines on the inside that would later be represented by beams. Supports and loads with placed at various nodes that represent the forces on the system. Finally, an optimization command used a catalogue of beam sizes to correctly react to the forces being applied to them. The green spikes and orange dips represent the shear and moment reactions in the system and the pink and blue represent the internal stresses on the beams.
Fixed End Beam This iteration shows a beam system that were the beams are fixed at both ends, meaning they are not free to rotate, with four point loads in the middle. One can see the difference in how much each beam is supporting just from the size of the beams and the moment diagrams shown below.
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ARC H 363 (D ESIGN IM P L EM ENTAT I O N I I I - SYST EM S ) | S P RI NG 201 8 | M AGED GUERGUI S | T H EO DOR E S HE LTO N
01 STATICS FUNDAMENTALS
02 BEAMS AND COLUMNS
03 VECTOR ACTIVE SYSTEMS
04 FORM ACTIVE SYSTEMS
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M ODU LE 2 — BE A MS AND COLUMNS
KEV I N SAS L AWSKY FO RCE A N A LYSI S | V ECTO R GEO MET RY
Cantilever System This iteration shows a cantilever system where the supports are attached at the farther ends of the original rectangle, although in this case the middle beams are doing most of the heavy lifting.
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ARC H 363 (D ESIGN IM P L EM ENTAT I O N I I I - SYST EM S ) | S P RI NG 201 8 | M AGED GUERGUI S | T H EO DOR E S HE LTO N
01 STATICS FUNDAMENTALS
02 BEAMS AND COLUMNS
03 VECTOR ACTIVE SYSTEMS
04 FORM ACTIVE SYSTEMS
11
M ODU LE 2 — BE A MS AND COLUMNS
KEV I N SAS L AWSKY FO RCE A N A LYSI S | V ECTO R GEO MET RY
Cantilever System - Triangle This final iteration, the shape of the structural system was changed into a triangular shape. Supports were placed at two corners and a load was placed on the final one.
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ARC H 363 (D ESIGN IM P L EM ENTAT I O N I I I - SYST EM S ) | S P RI NG 201 8 | M AGED GUERGUI S | T H EO DOR E S HE LTO N
01 STATICS FUNDAMENTALS
02 BEAMS AND COLUMNS
03 VECTOR ACTIVE SYSTEMS
04 FORM ACTIVE SYSTEMS
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M ODU LE 2 — BE A MS AND COLUMNS
KEV I N SAS L AWSKY
VECTOR ACTIVE SYSTEMS (I) Planar Truss Structural Analysis
In this assignment, we were first asked to create a vector active system from memory without the help of the instructor. After this was complete, the utilization of each member was found and represented as a red to blue gradient. Members A and B in the problem are represented here and their respected forces (kps). In utilization view, red means compression and blue means tension.
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ARC H 363 (D ESIGN IM P L EM ENTAT I O N I I I - SYST EM S ) | S P RI NG 201 8 | M AGED GUERGUI S | T H EO DOR E S HE LTO N
01 STATICS FUNDAMENTALS
02 BEAMS AND COLUMNS
03 VECTOR ACTIVE SYSTEMS
04 FORM ACTIVE SYSTEMS
15
M ODU LE 3 — V ECTO R ACTIVE SYSTEMS
KEV I N SAS L AWSKY
VECTOR ACTIVE SYSTEMS (II+III) Space Frame Development | Form Finding | Structural Analysis
Surface Ruled Space Truss This Vector Active System was developed through three stages of design. First a space truss was developed onto a two dimensional surface that was divided into 8x8 sections which act as the top flanges and another grid of 7x7 below for the bottom flanges. Each intersection of the smaller grid connect to the four closest points above which represent the web members.
members and a distributed load across the surface define the shape of the system. Anchor points on the perimeter of the surface are randomly distributed which hold it in place. Karamba Analysis The final process involves Karamba analysis that is similar in previous assignments. Supports are defined at the points where the surface is held down and loads are place on top of random intersection points. The loads are seen to the right.
Kangaroo Form Finding After completing the truss system, the surface from which it was based could manipulated by simulated forces that inflate the surface into a state of equilibrium. The spring strength of the
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ARC H 363 (D ESIGN IM P L EM ENTAT I O N I I I - SYST EM S ) | S P RI NG 201 8 | M AGED GUERGUI S | T H EO DOR E S HE LTO N
523
333
333
287
03 VECTOR ACTIVE SYSTEMS
04 FORM ACTIVE SYSTEMS
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M ODU LE 3 — V ECTO R ACTIVE SYSTEMS
02 BEAMS AND COLUMNS
846
647 729
762
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01 STATICS FUNDAMENTALS
817
445
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KEV I N SAS L AWSKY S PAC E F RA M E ST RUCT U RAL AN ALYSIS GROU P 8
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ARC H 363 (D ESIGN IM P L EM ENTAT I O N I I I - SYST EM S ) | S P RI NG 201 8 | M AGED GUERGUI S | T H EO DOR E S HE LTO N
01 STATICS FUNDAMENTALS
02 BEAMS AND COLUMNS
03 VECTOR ACTIVE SYSTEMS
04 FORM ACTIVE SYSTEMS
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M ODU LE 3 — V ECTO R ACTIVE SYSTEMS
KEV I N SAS L AWSKY
FORM ACTIVE SYSTEMS Funicular Curves | Form Finding | Hanging Model
Two Division Funicular Curve
Form Finding Mesh
The diagram on the top right shows a line that is subdivided into three segments with two force acting at the joints of the segments. Anchor points at the beginning and end of the line hold it down while the weight of the line itself pushes it up with a reversed vector force.
This model is almost exactly identical to the previous example, however the difference is in the two dimensionality of lines that it is formed from. Instead of just one line that is being acted on, multiple lines in the X and Y create a surface that is undevelopable. Here, the forces act at every intersection of the surfaces’ iso curves.
30x Division As the divisions increase on the line so do the points at which the forces push it upwards, similar to last example. Since the forces are equally spaced, the segmented line is transformed into an ellipse. This curve represents an upside down hanging chain model.
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ARC H 363 (D ESIGN IM P L EM ENTAT I O N I I I - SYST EM S ) | S P RI NG 201 8 | M AGED GUERGUI S | T H EO DOR E S HE LTO N
01 STATICS FUNDAMENTALS
02 BEAMS AND COLUMNS
03 VECTOR ACTIVE SYSTEMS
04 FORM ACTIVE SYSTEMS
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M ODU LE 4 — FO R M ACTIVE SYSTEMS
KEV I N SAS L AWSKY
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ARC H 363 (D ESIGN IM P L EM ENTAT I O N I I I - SYST EM S ) | S P RI NG 201 8 | M AGED GUERGUI S | T H EO DOR E S HE LTO N
3d Model of Class Iteration
01 STATICS FUNDAMENTALS
TENSILE STRUCTURES
02 BEAMS AND COLUMNS
After learning about the fantasm of Frei Otto, the god father of tensile structures, we sought out to find our forms, simulating what he did first physically and then digitally. Kangaroo Form Finding
Our Design We wanted to have some fun with our design testing various points to find their outcome. The holes represent round discs supports.
M ODU LE 4 — FO R M ACTIVE SYSTEMS
04 FORM ACTIVE SYSTEMS
The tensile structure to the left was derived through a form finding program called Kangaroo Physics. This plug in does a lot of things, but in this case it took a 100’x100’ tent and applied spring forces to all of its subdividing iso curves, similar to previous assignments. Certain anchor points are placed on desired vertex points on the outside and inside which the mesh stretch onto like a physical model.
03 VECTOR ACTIVE SYSTEMS
Tensile Structure Tent
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KEV I N SAS L AWSKY
FORM ACTIVE SYSTEM P ROC ESS O F PH YSI CA L T E N SILE ST RUCT U RE MO D EL
Step 1
Step 3
The first step that was taken in making our tensile structure was placing our central posts in the that give the most support to this system. Translucent fabric was stretched over these posts and our anchor points were placed on the perimeter of the base
Finally, we used some shorter pins to pull parts of the surface down towards the base giving even more curvature to the surface.
Step 2 This is where we wanted to do something different and find its outcome. We glued pennies at the end of some posts and placed them underneathe tensile surface to create some variance in its curvature.
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ARC H 363 (D ESIGN IM P L EM ENTAT I O N I I I - SYST EM S ) | S P RI NG 201 8 | M AGED GUERGUI S | T H EO DOR E S HE LTO N
01 STATICS FUNDAMENTALS
02 BEAMS AND COLUMNS
03 VECTOR ACTIVE SYSTEMS
04 FORM ACTIVE SYSTEMS
25
M ODU LE 4 — FO R M ACTIVE SYSTEMS
KEV I N SAS L AWSKY
TENSILE MEMBRANE FORM FINDING MODEL MA D E F RO M ST R E TCH IN G MAT ERIAL OVER RIGID POSTS.
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ARC H 363 (D ESIGN IM P L EM ENTAT I O N I I I - SYST EM S ) | S P RI NG 201 8 | M AGED GUERGUI S | T H EO DOR E S HE LTO N
01 STATICS FUNDAMENTALS
02 BEAMS AND COLUMNS
03 VECTOR ACTIVE SYSTEMS
04 FORM ACTIVE SYSTEMS
27
M ODU LE 4 — FO R M ACTIVE SYSTEMS