"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
Senne, Joseph H.
Yu, Wei-wen, 1924-
Ho, C. Y. (Chung You), 1933-1988
Muhlbauer, Karlheinz C., 1930-2008
Celis, Antonio J.
Civil, Architectural and Environmental Engineering
Ph. D. in Civil Engineering
National Institute of Technology Saigon
United States. Agency for International Development
University of Missouri--Rolla
xvi, 162 pages
© 1973 Trinh Ngoc Rang, All rights reserved.
Dissertation - Open Access
Structural analysis (Engineering) -- Mathematical models
Print OCLC #
Electronic OCLC #
Link to Catalog Record
Rang, Trinh-Ngoc, "Analysis of continuous curvilinear structures by infinite matrix series methods" (1973). Doctoral Dissertations. 223.