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Figure Q5 (b) shows the filament winding process for advanced composites, the high strength fiber is unwound from a spool and wound around a form to produce the final shape, which is then impregnated with an epoxy matrix. The fiber passes through a guide that keeps the fiber from tangling, and must elastically bend to even out the tension in the fiber as it is wound onto the final form. The fiber guide can be modeled as a cantilever beam of circular cross section with an end load. An important feature of the design is that the guide does not permanently deform (yield) under the load applied by the fiber winding operation. Assume the length, L, is fixed, but the radius, r, is free to vary. For dynamic considerations, the mass must be kept as small as possible. Derive the materials selection criterion, M, using the load constraint. Maximum root stress in cantilever beam: O max FL - FL ar 4 for circular cross section beam.
SPOOL FIBER. L GUIDE FORM Figure Q5 (b) F 2r
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