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reduction of equilibrium, compatibility and flexibility matrices, in the force method
Author(s) -
Pellegrino S.,
Kwan A. S. K.,
Van Heerden T. F.
Publication year - 1992
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620350605
Subject(s) - truss , finite element method , compatibility (geochemistry) , structural engineering , flexibility method , cable gland , shear force , simple (philosophy) , mathematics , materials science , engineering , mechanical engineering , composite material , philosophy , epistemology
This paper develops analytical expressions and numerical for reducing the structural matrices which are used in the Force Method of structural analysis. Two simple examples illustrate the calculations for pin‐jointed trusses. Two advanced applications, a beam cross consisting of two coplanar beams which are linked by a shear connector, and an equilibrium linear‐stress finite element, are also presented.