Accession Number : ADP000045

Title :   Developments in Mitchell Theory,

Corporate Author : CENTRE EXPERIMENTAL DE RECHERCHES ET D'ETUDES DU BATIMENT ET DE TRAVAUX PUBLICS PARIS (FRANCE)

Personal Author(s) : Lagache,Jean-Marie

Report Date : 1981

Pagination or Media Count : 8

Abstract : The design of trusses of minimum volume is considered, subject to the conditions that members are included in some feasible region and safely carry a given system of loads to a rigid foundation. Michell Theory then relates upon virtual feasible displacements. Three theorems about feasible displacements are given in the present paper: (1) There exists at least one extremal feasible displacement, which makes the work of external loads a maximum upon the class of all feasible displacements; (2) Should an optimal truss exist or not, the minimum volume for trusses, V min, and the maximum feasible work, W max, satisfy: W max = V min; and (3) The computation of only one extremal displacement allows all optimum frames to be synthetized by a converse application of Michell Criterion. Specially, there is no optimum frame at all when the Criterion is inapplicable.

Descriptors :   *Structural engineering, *Structural mechanics, *Trusses, *Theorems, Structural analysis, Structural response, Loads(Forces), Rigidity, Displacement, Strain(Mechanics), Linearity, Optimization

Distribution Statement : APPROVED FOR PUBLIC RELEASE