Sequence summation factors

Abstract

"This paper defines a new structural parameter called "Sequence-summation Factor" which may be used in the systematic calculation of "over-relaxation" factors for moment distribution processes. These sequence-summation factors are computed directly from the distribution and carry-over factors used in the moment distribution method. The new parameter furnishes a device whereby the rate of convergence of the moment distribution process is greatly accelerated and whereby, in certain special cases, mathematically exact answers can be obtained. A procedure for computing the total joint relaxation moments is also introduced. With these joint moments the final support moments may be calculated in a single stage of distribution and carryover. As a result, computational errors are easily detected and corrected, and the degree of accuracy of the results can readily be evaluated."--Page 1.