Brennen HerbruckandClaude Sonnet 5.5
04135da965
External and internal modelled threads, tapped holes and threads beside other features, each graded against the ISO 68-1 groove volume (Pappus) and the part's own closed-form volume. Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
34 lines
1.4 KiB
JSON
34 lines
1.4 KiB
JSON
{
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"sources": [
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"tangency-labs/solidcraft#2193",
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"tangency-labs/solidcraft#2263",
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"tangency-labs/solidcraft#4153"
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],
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"what": "a modelled M33x3.5 thread, a size the thread menu lacked (designation typed by hand), on a 33 mm shaft (4 turns)",
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"source": "analytic",
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"method": "ISO 68-1 basic profile: H = P sqrt3/2, basic depth 5H/8. External groove (the space between teeth): a trapezoid P/4 wide at the root radius d/2 - 5H/8, widening by 2 tan30 per unit of radius to 7P/8 at d/2. Internal groove: P/8 wide at the major radius d/2, widening to 3P/4 at the minor radius, cut only where there is material (r >= hole radius). Pappus: volume per turn = 2 pi A rc (A the trapezoid area, rc its centroid radius from the axis); a helical sweep of L/P turns removes exactly (L/P) x that, where each end of the thread is a free end or lies inside material. Shaft R=16.5 L=14, M33x3.5 (P=3.5) over its whole length, both ends free: V = pi R^2 L - (L/P) V_turn = 11974.1804 - 4 x 368.57682 = 10499.8731 mm3. COM on the axis at L/2 (7): the groove is symmetric over whole turns. Tolerance 1%: a modelled thread is a faceted helical solid (radial chord error up to 1% of the pitch on every wall, i.e. a volume deficit of about 4/3 x sag/R).",
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"outcome": "solid",
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"body_count": 1,
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"volume_mm3": 10499.8731,
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"center_of_mass": [
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0,
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0,
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7.0
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],
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"bbox": {
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"min": [
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-16.5,
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-16.5,
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0
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],
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"max": [
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16.5,
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16.5,
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14
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]
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},
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"tolerance": {
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"rel": 0.01
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}
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}
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