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Theorems for the Synthesis of Simply-Stiff Frameworks

Published online by Cambridge University Press:  28 July 2016

H. Roxbee Cox
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Extract

Systematic knowledge of the theorems available for building statically determinate frameworks appears to be restricted in this country to a very small circle. Many engineers are content with the knowledge that a simply-stiff plane framework can be produced by attaching a joint O by bars OA, OB. to joints A and B of a simply-stiff plane framework; and that a simply-stiff space framework can be produced by attaching a joint O by bars OA, OB, OC to joints A, B and C of a simply-stiff space framework. By these simple means, two- and threedimensional simply-stiff frameworks can be built up respectively from the basic triangle and basic tetrahedron.

Most textbooks give no other rules of synthesis, and are content to give as “ proofs ” of the relationships existing between the number of joints j and the number of bars m of a simply-stiff framework (m = 2j—3 in the two-dimensional case and m=3j—6 in the three-dimensional case) the obvious inferences of these relationships from the system of synthesis just described.

Type
Research Article
Information
The Aeronautical Journal , Volume 49 , Issue 409 , January 1945 , pp. 21 - 25
Copyright
Copyright © Royal Aeronautical Society 1945

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References

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4. Clerk Maxwell, J. Trans. Roy. Soc. of Edinburgh, XXVI (1870). Also Collected Papers XXXIX.Google Scholar