"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 - Restricted Access
Library of Congress Subject Headings
Structural analysis (Engineering) -- Mathematical models
Print OCLC #
Electronic OCLC #
Link to Catalog Record
Electronic access to the full-text of this document is restricted to Missouri S&T users. Otherwise, request this publication directly from Missouri S&T Library or contact your local library.http://laurel.lso.missouri.edu/record=b1066791~S5
Rang, Trinh-Ngoc, "Analysis of continuous curvilinear structures by infinite matrix series methods" (1973). Doctoral Dissertations. 223.
Share My Dissertation If you are the author of this work and would like to grant permission to make it openly accessible to all, please click the button above.