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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 17
KNOWLEDGE BASED SYSTEMS FOR CIVIL & STRUCTURAL ENGINEERING Edited by: B.H.V. Topping
Paper X.3
Statically Indeterminate Trusses Programmed in LOGIC V.K. Koumousis
Institute of Structural Analysis & Aseismic Research, National Technical University, Athens, Greece V.K. Koumousis, "Statically Indeterminate Trusses Programmed in LOGIC", in B.H.V. Topping, (Editor), "Knowledge Based Systems for Civil & Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 245-250, 1993. doi:10.4203/ccp.17.10.3
Abstract
Although classical methods of structural analysis are important in understanding the behaviour of structures, they are not suitable
for algorithmic programming. The force method of analysis, that in many cases leads to smaller systems of equations, proceeds
from equilibrium and enforces compatibility, whereas the displacement method, that today dominates the scene, proceeds from
the compatibility and enforces the equilibrium at the joints of an indeterminate structure. In this paper, a recursive force method
is developed which is based on the concept of the (n-l) structure. The conditions of compatibility are enforced on the (n-l)
redundant structure, until the (n-l) structure becomes a statically determinate structure. The required flexibility coefficients are
calculated using the unit load theorem. The number of the required flexibility coefficients is the same as compared with the
redundant force method. The recursive force method is programmed in Prolog and the basic predicates are presented. The method
is illustrated with certain examples.
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