Variational Principles Derived from the Matrix Structural Analysis Equations

Moshe B. Fuchs*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A method for generating the conventional variational principles of elasticity is presented. The technique consists in writing scalar potentials for different forms of the analysis equations of a trussed structure. A straightforward transformation translates the potentials and their properties into analogue functional in the continuum domain. Various formulations of the Hu-Washizu, Hellinger-Reissner, Total Potential, and Complementary Energy variational principles are thus obtained.

Original languageEnglish
Pages (from-to)219-234
Number of pages16
JournalJournal of Structural Mechanics
Issue number2
StatePublished - 1981


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