shape optimization study for a lattice column
TRANSCRIPT
SHAPE OPTIMIZATION STUDY FOR A LATTICE COLUMN
CRITERIA AND APPROACH
POINT LOADKARAMBA DEFINITION
Grad Structures 1 Class Project / Citylab Orlando / Summer 2019Students: Carly Chavez, Jon Clark, Margaret Logas, Ka’Nard Robinson
LATERAL LOADKARAMBA DEFINITION
AbstractThis graduate level structures project introduces students to the application of parametric modeling, stress and deformation visualization, shape optimization, and digital fabrication in the analysis of complex structural elements and systems. The lattice column, similar to a diagrid or a truss column, exhibits unique qualities of lightness and simple spatial elegance; yet its underlying behavior as a vertical support element is deceivingly complex. To model the project, a thin walled cylinder with an adaptive lattice grid geometry mapped onto its surface was developed as a generative starting point for the lattice structure. The overall shape of the generative structure is modified into four varying shapes to compare and contrast the intricately distributed tensile and compressive stresses over the structural elements. The resultant structure is statically indeterminate and an approximate numerical solution for the stress distribution and deformation can be accomplished using finite element analysis software. With the comparative study, the material properties (steel), effective length and method of restraint for the column iteration are constant while the moment of inertia and the material area are allowed to adapt to each iteration (the smaller the diameter, the higher the area). The column modeling analysis is visualized in three iterative modes; the first was unrestrained in the z axis to develop stress in the members without column buckling, the second allowed the structure to deform or buckle under the vertical load, and in the third iteration the x axis was unrestrained to simulate deformation laterally. As precedent and inspiration for the study, projects by renowned architects Toyo Itto, Massimiliano Fuksas, Norman Foster, Pelli Clarke and others were reviewed. Further studies are planned to validate the numerical results and advance the single component into an integrated system of vertical and horizontal supports.
Toyo Ito, Mediatheque, Sendai, Japan. 1998-201Sasaki Structural Consultants
Soviet Transmission Tower. 1922
Pelli Clarke, Winter Garden, NYC. 2014Thornton Tomasetti
PRECEDENT / INSPIRATION
Massimiliano Fuksas, Milan, Italy. 2002 - 2005.Structural: Schlaich Bergmann
Norman Foster, 30 St. Mary Axe, London. 2001 - 2003.Arup and Partners
Kuenstle Summer 2019 Orlando
LARGE CYLINDER
1
2
L =
18’
STRESS DISTRIBUTION
CONVEX CYLINDER
12
L =
18’
STRESS DISTRIBUTION
STRAIGHT CYLINDERSTRESS DISTRIBUTION
L =
18’
2
CONCAVE CYLINDER
L =
18’
12
STRESS DISTRIBUTION
1
21