A three-point tensile model that consists of a noncontact model and a modified capstan model of contact sections, including coupling effects of factors, is established in this study. The tension ratio calculated using the Runge–Kutta method increases along with the extensibility, surface friction coefficient, and radius ratio and is inhibited by the power-law friction (). Moreover, the theoretical model in a case with all the factors and frictional modification shows high accuracy with the actual test of the quick-intelligent handling evaluation system, and the Poisson's effect can be negligible, especially with the power-law friction. It has been confirmed that greater surface roughness and thickness (lower radius ratio) with worse extensibility result in tighter fabric tensile properties. Therefore, this work can provide theoretical guidance for the measurement of fabric tensile properties and the evaluation of practical application of fabrics.
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