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Imperfections in axially loaded plane frames
Author(s) -
Harung H. S.,
Millar M. A.,
Brotton D. M.
Publication year - 1974
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.1620080412
Subject(s) - axial symmetry , structural engineering , stiffness , finite element method , deflection (physics) , hinge , linear elasticity , elasticity (physics) , computer program , computation , direct stiffness method , engineering , mathematics , computer science , materials science , stiffness matrix , physics , classical mechanics , algorithm , composite material , operating system
Abstract A finite beam‐column element computer program for the structural failure analysis of proportionally loaded skeletal plane frames is described. The program, which is based on an iterative stiffness approach, provides for non‐linear elastic or plastic‐non‐linear elastic behaviour. Particular attention is given to the incorporation into the analysis of geometrical imperfections, return of elasticity at plastic hinges and negative frame stiffness. The effect of lack‐of‐fit displacements on the load‐deflection path and failure load of frames that carry relatively large axial loads is described in general terms. The theory is developed further through the application of the computer program to two examples which show the necessity for the allowing for the effect of imperfections when designing axially loaded redundant frames.