Published In
Advances in Civil Engineering
Document Type
Article
Publication Date
2011
Subjects
Moment Distribution Method -- Research, Structural analysis
Abstract
The Moment Distribution Method is a quite powerful hand method of structural analysis, in which the solution is obtained iteratively without even formulating the equations for the unknowns. It was formulated by Professor Cross in an era where computer facilities were not available to solve frame problems that normally require the solution of simultaneous algebraic equations. Its relevance today, in the era of personal computers, is in its insight on how a structure reacts to applied loads by rotating its nodes and thus distributing the loads in the form of member-end moments. Such an insight is the foundation of the modern displacement method. This work has a main objective to present an exact solution for the Moment Distribution Method through a matrix formulation using only one equation. The initial moments at the ends of the members and the distribution and carry-over factors are calculated from the elementary procedures of structural analysis. Four continuous beams are investigated to illustrate the applicability and accuracy of the proposed formulation. The use of a matrix formulation yields excellent results when compared with those in the literature or with a commercial structural program.
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DOI
10.1155/2011/725395
Persistent Identifier
https://archives.pdx.edu/ds/psu/33700
Citation Details
Lopes, A. P., Santos, A. A., & Lopes, R. C. (2011). A matrix formulation for the moment distribution method applied to continuous beams. Advances in Civil Engineering, 2011.
Description
Copyright (c) 2011 The Authors
This work is licensed under a Creative Commons Attribution 4.0 International License.