Collet Grip Forces
Closed form collet grip force solution
The design knob is the taper angle. The as-drawn seat is 15°; the slider re-cuts it anywhere from 5° to 18°, keeping the large end pinned at Ø4.500 on the body front face — the web through-hole and the collet's taper small end follow the new line, the flush mate is preserved, and everything else (chamfers, counterbore, flange, bayonet groove, bore) is untouched. The preview redraws as you drag; press Run FEA to re-solve. Wedge theory says the taper splits the pull as Nt = F / (sinα + μcosα + μ(cosα − μsinα)) with grip Ng = Nt(cosα − μsinα) passing straight through the segments — shallow angles multiply grip, steep angles release easier — and the Results pane holds the solved forces against those formulas at every angle.
Collet FEA method
A four-body axisymmetric finite element solution, computed live in your browser: the chuck body fixed at its spindle face, a hoop-free (segmented) collet seated line-to-line on the body's internal taper, a solid Ø2.250 workpiece line-to-line in the collet bore, and a part stop fixed on its left face. A dead axial pull on the left flank of the collet's bayonet groove is marched from zero; every interface is frictional smoothed-penalty contact with stick-slip Coulomb friction. The geometry is vector-extracted from the vendor drawings with every chamfer captured exactly by a mesh node (fitBoundary).
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CADita → PDF to DXF → O-Ring Groove Design →
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