AN INNOVATIVE APPROACH OF INTUIONISTIC FUZZY NUMBERS IN CALCULATION OF STRESS AND DEFLECTION OF A COMPOSITE BAR

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J.Akila Padmasree, R.Parvathi

Abstract

In the analysis and design of structures, an important aspect is the deformation
caused by the loads applied at them. Analyzing the deformations helps in calculating the
stress in the structures. Usually the distribution of stress cannot be clearly determined along
the structure as it is uncertain. This paper proposes an innovative method to find the stress and
deflection of a composite bar using Horizontal relative trapezoidal intuitionistic fuzzy number
(HRTrIFN) as Young’s modulus values. The bending point at any location along the beam
can be calculated since the stress and deflection values are found as range of values, the actual
bending point, peak and the breaking point of the beam can be calculated efficiently which is
far more better than the traditional method where it is a single crisp value. This helps the
analyst to determine very accurately the strength of the structure.

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