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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 28
COMPUTATIONAL STRUCTURAL ENGINEERING FOR PRACTICE Edited by: M. Papadrakakis and B.H.V. Topping
Paper I.2
Automatic Collapse Load Analysis of Regular Plane Frames using the Force Method K.V. Spiliopoulos and P.G. Souliotis
Institute of Structural Analysis & Aseismic Research, National Technical University of Athens, Athens, Greece K.V. Spiliopoulos, P.G. Souliotis, "Automatic Collapse Load Analysis of Regular Plane Frames using the Force Method", in M. Papadrakakis, B.H.V. Topping, (Editors), "Computational Structural Engineering for Practice", Civil-Comp Press, Edinburgh, UK, pp 9-15, 1994. doi:10.4203/ccp.28.1.2
Abstract
The limit analysis of regular plane frames consisting of
meshes of strictly four members is considered. The inherent
difficulty of the force method for automatic geometric data
generation is overcome by developing an algorithm which is
used to provide a statical basis. Using a shortest path
technique between two points of an undirected graph,
consecutive cycles are found whose check for independence
is done by fictitiously increasing the lengths of the cycle's
members. Equilibrium with applied loads is satisfied by the
use of cantilevers that coincide with the shortest path of each
load to the ground. Examples of application are given.
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