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SUMMARY:Graphic Statics as a Legendre Transform - Professor Allan McRobie
DTSTART:20221021T140000Z
DTEND:20221021T150000Z
UID:TALK185102@talks.cam.ac.uk
CONTACT:Jamie Clarkson
DESCRIPTION:This somewhat impromptu talk is to describe a few things that 
 I have been thinking about in my research of late. It will be more of a di
 scussion piece than a polished fait accompli.\n\nAfter a brief overview of
  some recent work in 2D and 3D graphic statics\, this talk will focus in o
 n a few fundamentals. These can be found in James Clerk Maxwell’s 1870 p
 aper “On Reciprocal Figures\, Frames and Diagrams of Forces” and they 
 relate to the notion of a stress function. Encouraged by Bill Baker to rea
 d Maxwell’s original papers\, I was quite taken aback at how little I wa
 s aware of the basics of my own subject. This short talk will look at Maxw
 ell’s notion of a “Diagram of Stress”\, involving a stress space whe
 rein the only stress is a simple\, constant\, isotropic pressure from whic
 h (almost) any other stress field can be constructed. This leads naturally
  to the conclusion that “form” and “force”\, the two fundamentals 
 of graphic statics\, are a Legendre transform pair. I will show how this u
 nderstanding can be extended to include moments\, and finish with a brief 
 glimpse at how this may find applications in the design of materially-effi
 cient structures\, including shells and gridshells.  \n\nRecommended pre-r
 eading:  JC Maxwell 1870\, “On Reciprocal Figures\, Frames and Diagrams 
 of Forces”\, Trans RS Edinburgh\, XXVI\, Pt1\, pp 1-40\, section: “Gen
 eral Theory of Diagram of Stress in Three Dimensions”. https://archive.o
 rg/details/dli.granth.111835/page/178/mode/2up\n\n\n
LOCATION:CivEng Seminar Room (1-33) (Civil Engineering Building)
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