Applying Engineering Mechanics Solutions to Deflections of Statically Loaded Coplanar Fibers

摘要

Since fibers and fiber bundles form the elements of a fibrous structure, it is necessary to investigate the mechanical behavior of fibers subjected to static loading. The report demonstrates the application of engineering mechanics to the problem of textile fiber deflection under various initial shapes and load conditions. By assuming an idealized fiber it was possible to apply thin circular rod theory to the analysis of fiber deflections. For straight fibers and circular fibers subjected to various coplanar static loadings, deflections were found from the solution of linear and nonlinear differential equations. Linear equations were applied in the case of small deflections and rather complex nonlinear equations were applied in the case of large deflections. (Author)