BRACING RECTANGULAR FRAMEWORKS .1.

被引:25
作者
BOLKER, ED [1 ]
CRAPO, H [1 ]
机构
[1] UNIV MONTREAL,FAC AMENAGMENT,RECH TROP STRUCT GRP,MONTREAL H3C 3J7,QUEBEC,CANADA
关键词
D O I
10.1137/0136036
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper describes the economical placing of diagonal braces in the walls and ceiling of a rectangular one story building. It begins with the definition of the structure geometry of a graph embedded in Euclidean space: a combinatorial geometry (matroid) on the set of potential braces. When the embedded graph is a plane grid of squares the geometry is graphic. Then, for example, minimal rigidifying sets of braces correspond to spanning trees in a complete bipartite graph. The methods used in the plane case are extended to analyze how sets of wall and ceiling braces in a one story building can be dependent.
引用
收藏
页码:473 / 490
页数:18
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