WSEAS Transactions on Applied and Theoretical Mechanics
Print ISSN: 1991-8747, E-ISSN: 2224-3429
Volume 11, 2016
Fuzzy Analysis of Serviceability Limit State of Slender Beams
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Abstract: The maximum permissible deflection values in design standards are determined subjectively and can thus be considered as fuzzy numbers. Using the finite element method, it has been found that the lateral deflection of a slender beam under major axis bending can be relatively high. Nonlinear load-deflection analysis was applied for the compilation of the presented numerical studies. The serviceability limit state of beams with initial imperfections was studied. The limit moment, which yields the deflection that is equal to the maximum permissible value, was defined. Fuzzy analysis of the limit moment was evaluated using the general extension principle. Slendernesses of members for which the attainment of the maximum permissible value of deflection is the deciding limit state for design were determined.
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Keywords: Fuzzy logic, resistance, imperfections, stability, serviceability, limit state, beam, bending
Pages: 253-258
WSEAS Transactions on Applied and Theoretical Mechanics, ISSN / E-ISSN: 1991-8747 / 2224-3429, Volume 11, 2016, Art. #31