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SUMMARY:Reciprocal constructions using conic sections &amp\; Poncelet dual
 ity - Marina Konstantatou - Structures Group
DTSTART:20161014T143000Z
DTEND:20161014T150000Z
UID:TALK68530@talks.cam.ac.uk
CONTACT:Lorna Everett
DESCRIPTION:Graphic Statics offers a geometrical framework for the design 
 & analysis of structural systems with reciprocity between the ‘form’ a
 nd ‘force’ diagrams being a fundamental notion. In this presentation w
 e provide a detailed illustration and explanation of Maxwell’s reciproca
 l construction for 2-dimensional trusses through a 3-dimensional paraboloi
 d of revolution. Even though Maxwell briefly mentions this method there is
  no record of the detailed construction.\nThe main focus of this research 
 is placed on the synthesis of Poncelet duality in projective geometry and 
 of reciprocity in graphic statics resulting in the definition of a general
 ised dual statement for the construction of reciprocal diagrams (Maxwell 2
 D & Rankine 3D). This is based on the construction of their higher dimensi
 onal polyhedral Airy stress functions\, using conic sections. We generalis
 e the construction for other conics\, such as the sphere and ellipsoid\, a
 nd we extend the definition for 3-dimensional trusses and corresponding hi
 gher-dimensional conic sections.\n
LOCATION: Cambridge University Engineering Department\, LR6
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