Doctoral Dissertations


"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.


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.


Civil, Architectural and Environmental Engineering

Degree Name

Ph. D. in Civil Engineering


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


University of Missouri--Rolla

Publication Date



xvi, 162 pages

Note about bibliography

Includes bibliographical references (pages 104-107).


© 1973 Trinh Ngoc Rang, All rights reserved.

Document Type

Dissertation - Open Access

File Type




Subject Headings

Structural analysis (Engineering) -- Mathematical models
Infinite matrices

Thesis Number

T 2820

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Electronic OCLC #