Doctoral Dissertations

Abstract

"The objective of this dissertation is to present two methods of structural analysis for continuous curvilinear frames by using infinite matrix series as an extension of the well-known moment-distribution method. The sum of all unbalanced moments and thrusts relaxed at joints of a continuous system can be expressed in a compact and exact mathematical expression, which is in terms of the sum of a convergent infinite matrix series. With these unbalanced forces at joints, the final support forces may be calculated in a single stage of distribution and carry-over. The convergence of the balancing process is also demonstrated. Approximate results can be obtained by taking the partial sums of the infinite matrix series; in these cases, the errors that may be committed in stopping at any stage of balancing can be estimated.

Flexibilities, stiffnesses, restraints along with distribution, carry-over and transmission factors of segmental arches are derived in general matrix forms.

Stiffness, carry-over and thrust-induction factors as well as fixed-end reaction coefficients (moment, thrust and shear) of segmental arches of different symmetrical types are derived, graphed and tabulated for use.

Numerical examples are given to illustrate the procedure; computer programs are developed to effectively solve complex structures and an experimental model was built and tested by using the Beggs deformeter to correlate the results"--Abstract, page ii.

Advisor(s)

Best, John, 1925-2015

Committee Member(s)

Senne, Joseph H.
Ural, Oktay
Yu, Wei-wen, 1924-
Ho, C. Y. (Chung You), 1933-1988
Muhlbauer, Karlheinz C., 1930-2008
Celis, Antonio J.

Department(s)

Civil, Architectural and Environmental Engineering

Degree Name

Ph. D. in Civil Engineering

Sponsor(s)

National Institute of Technology Saigon
United States. Agency for International Development

Publisher

University of Missouri--Rolla

Publication Date

1973

Pagination

xvi, 162 pages

Note about bibliography

Includes bibliographical references (pages 104-107).

Rights

© 1973 Trinh Ngoc Rang, All rights reserved.

Document Type

Dissertation - Open Access

File Type

text

Language

English

Subject Headings

Structural analysis (Engineering) -- Mathematical modelsInfinite matrices

Thesis Number

T 2820

Print OCLC #

6027342

Electronic OCLC #

914167641

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