Application of membrane theory on dome structures

Date of Publication

1992

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Applied Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Abstract/Summary

This thesis presents a brief discussion of the application of the membrane theory to shell structures, particularly dome structures. A dome is a type of thin shell in the form of surfaces of revolution, which serve primarily for roof structures. It includes different types of domes, like spherical, elliptical, conical and more. The stresses acting in the plane of each curve can be measured through the help of the membrane theory. A set of differential equations can be used to derive an approximate solutions for each shell structures. Similarly, these are supported by geometrical figures for better understanding of results.All of the formulas given in this thesis area all based from books and journals that we have gathered. The researchers included some sample computations, definition of terms and provided computer programs for added information of the said topic, so that readers will be enhanced to go further about this.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU05865

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

81 leaves

Keywords

Membranes (Technology); Domes; Programming (Mathematics); Algorithms; Graph theory; Architecture--Details

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