The fibrogram shapes of clamped fiber beards have been deduced under a range of conditions. For constant staple length material and for fibers with low length variability, the maximum span length difference between the fibrograms in the two directions becomes equal to the differential hook extent in the sliver. When length variability is more, the maximum span length difference is found to be different but is still closely related to the differential hook extent.
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References
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Jain, P.S., Measurement of Fibre Hooking by Digital Fibrograph, J. Textile Association34, 25-31 (1973).