How to Brace a One-Story Building

E D Bolker and H Crapo
Additional contact information
E D Bolker: Department of Mathematics, University of Massachusetts (Boston), Boston, Massachusetts 02125, USA
H Crapo: Department of Mathematics, Statistics, and Computer Science, Memorial University of Newfoundland, Saint John's, Newfoundland, Canada

Environment and Planning B, 1977, vol. 4, issue 2, 125-152

Abstract: This paper describes the economical placing of braces in the walls and ceiling of a rectangular one-story building. First, efficient schemes for bracing the ceiling are shown to correspond to trees in a bipartite graph. Then a combinatorial analysis shows how certain sets of braces in vertical walls cause some ceiling braces to be redundant. We also give a complete description of bracing schemes for plane grids of squares. The fundamental tools are elementary vector space theory and combinatorial geometry (matroid theory). However, our style is deliberately discursive, with many worked examples, because we hope to attract readers possessing mathematical sophistication and mechanical intuition at a wide range of levels.

Date: 1977
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://journals.sagepub.com/doi/10.1068/b040125 (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:sae:envirb:v:4:y:1977:i:2:p:125-152

DOI: 10.1068/b040125

Access Statistics for this article

More articles in Environment and Planning B
Bibliographic data for series maintained by SAGE Publications ().