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Abstract The behavior of the material against the external forces depends on its mechanical properties, including strength, elastic modulus, fatigue behavior, and so on. Of these properties, the elastic modulus has the highest importance and can be a criterion for describing the tensile elasticity or the tendency of a material to deform when opposing forces are applied along its axis. A wide range of test methods is available for measuring elastic modulus, but there is some uncertainty about the reliability of modulus values and can be addressed through good experimental and careful measurement. Among these methods, the tensile method is one of the most suitable methods for determining the elastic modulus of thin materials such as fibers. In this research, a new approach developed to calculate the elastic modulus based on the force-length curve to reduce the effects of common practical errors, like non-accurate measurement of the initial length and pretension of sample that shows the accuracy of new method. Three samples of yarn and fabric of different materials were tested for tensile strength. The linear part equation of the load-length curve was calculated and the elastic modulus values were determined according to the equation and Hooke’s law. The standard deviation of the modulus in this method has been significantly reduced compared to the traditional mechanical method, also, the problems of pretension and initial length of the specimen have been resolved; Furthermore, using the new approach the initial length and strain values are obtainable with higher accuracy.
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