The Earthquake Engineering Online Archive

Logic and Topology of Structural Analysis

Baron, Frank

UCB/SESM-1962/23, Dept. of Civil Engineering, University of California, Berkeley, 1962-05, 43 pages (500/C23/62/23)

This paper deals with invariant forms of statements, quantities, and relationships in analysis. Group theory, set-points, and geometrical transformations are used to describe all parameters, functions, and configurations of a structure and its parts. A generalized structure in a 3-dimensional space is transformed to a single set-member between 2 set-points in an N-dimensional space.

Available online: http://nisee.berkeley.edu/documents/SEMM/SEMM-62-23.pdf (2 MB)