The Moment Distribution Method is a quite powerful hand method of structural analysis, in which the solution is obtained\niteratively without even formulating the equations for the unknowns. It was formulated by Professor Cross in an era where\ncomputer facilities were not available to solve frame problems that normally require the solution of simultaneous algebraic\nequations. Its relevance today, in the era of personal computers, is in its insight on how a structure reacts to applied loads by\nrotating its nodes and thus distributing the loads in the form of member-end moments. Such an insight is the foundation of the\nmodern displacement method. This work has a main objective to present an exact solution for the Moment Distribution Method\nthrough a matrix formulation using only one equation. The initial moments at the ends of the members and the distribution and\ncarry-over factors are calculated from the elementary procedures of structural analysis. Four continuous beams are investigated to\nillustrate the applicability and accuracy of the proposed formulation. The use of a matrix formulation yields excellent results when\ncompared with those in the literature or with a commercial structural program.
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