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

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1979年 / 36卷 / 03期

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

页码：473 / 490

页数：18

共 9 条

[1]

ASIMOW L, UNPUBLISHED

[2]

BARACS J, 1975, B INT ASS SHELL SPAC, V16

[3] HOW TO BRACE A ONE-STORY BUILDING [J].

BOLKER, ED ;

CRAPO, H .

ENVIRONMENT AND PLANNING B-PLANNING & DESIGN, 1977, 4 (02) :125-152

[4] BRACING GRIDS OF CUBES [J].

BOLKER, ED .

ENVIRONMENT AND PLANNING B-PLANNING & DESIGN, 1977, 4 (02) :157-172

[5]

Bolker Ethan D, 1972, J COMBINATORIAL TH B, V13, P251, DOI [DOI 10.1016/0095-8956(72)90060-3, 10.1016/0095-8956(72)90060-3]

[6] MORE ON BRACING OF ONE-STORY BUILDINGS [J].

CRAPO, H .

ENVIRONMENT AND PLANNING B-PLANNING & DESIGN, 1977, 4 (02) :153-156

[7]

GRUNBAUM B, 1975, LECTURES LOST MATH

[8]

WHITELEY W, 1977, INTRO STRUCTURAL GEO

[9]

[No title captured]

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