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kernel-cases: fillets correct the union volume quoted in 1262

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The graded volume was right; the derivation text quoted the union as 46476.5 instead of 45571.7.

Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
This commit is contained in:
Brennen Herbruck
2026-10-21 06:11:03 -04:00
committed by jyviko
parent d235bd7a0e
commit 3dc7f90e63
1 changed files with 1 additions and 1 deletions
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tests/kernel-cases/fillets/1262-fillet-boss-bottom-arc/expected.json
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@@ -4,7 +4,7 @@
],
"what": "a 0.8 mm round on the exposed half circle at the bottom of a cylindrical boss joined to a box side",
"source": "analytic",
"method": "box 40x40x20 joined with a cylinder R12 height 40 centred on its side face at (40,20): union = 32000 + pi*144*40 - (half of the cylinder inside the box, pi*144/2*20) = 46476.5. The R0.8 round on the exposed bottom half circle (a half revolution, ending on the plane x=40 through the axis) removes (1-pi/4) r^2 x pi x (R - 0.2232 r) = 5.1007 (Pappus on the spandrel, centroid offset r (5/6-pi/4)/(1-pi/4)). V = 45566.580.",
"method": "box 40x40x20 joined with a cylinder R12 height 40 centred on its side face at (40,20): union = 32000 + pi*144*40 - (half of the cylinder inside the box, pi*144/2*20) = 45571.7. The R0.8 round on the exposed bottom half circle (a half revolution, ending on the plane x=40 through the axis) removes (1-pi/4) r^2 x pi x (R - 0.2232 r) = 5.1007 (Pappus on the spandrel, centroid offset r (5/6-pi/4)/(1-pi/4)). V = 45566.580.",
"body_count": 1,
"volume_mm3": 45566.57957588062
}