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steve/tapered-roller-bearing

Tapered roller bearing, 302 and 303 series, bore 15 to 50 mm,.

v1.1.0 Latest STEVE MIT 0
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part.py 61 lines · Python · STEVE runtime · checked
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1"""Tapered roller bearing, 302 and 303 series, bore up to 50 mm. Bore d, outside diameter D, overall width T, cone width B, cup width C and chamfers r (cone back) and r1 (cup back) are sourced and make the fit. detail = "full": the cone with its back rib, the cup and the tapered rollers at an angle between them. The 14 degree angle, roller size, rib and roller count are proportions for looks, not for design, and never change the fit dimensions; the cage is not drawn. detail = "simple": one solid ring d x D x T. Axis along Z, centred on the origin; cone back face at z = -T/2, cup back face at z = +T/2."""
2import math
3
4from steve import Model
5
6designation = "30204" # Bearing number
7detail = "full" # full: rings and rolling elements; simple: one solid
8
9# number: (d, D, T, B, C, r, r1). NTN Ball and Roller Bearings CAT. No. 2203-3/E (2024), PDF pages 165-167, https://www.ntnglobal.com/en/products/catalog/pdf/2203E.pdf
10BEARINGS = {"30203": (17, 40, 13.25, 12, 11, 1, 1), "30204": (20, 47, 15.25, 14, 12, 1, 1), "30205": (25, 52, 16.25, 15, 13, 1, 1), "30206": (30, 62, 17.25, 16, 14, 1, 1), "30207": (35, 72, 18.25, 17, 15, 1.5, 1.5), "30208": (40, 80, 19.75, 18, 16, 1.5, 1.5), "30209": (45, 85, 20.75, 19, 16, 1.5, 1.5), "30210": (50, 90, 21.75, 20, 17, 1.5, 1.5), "30302": (15, 42, 14.25, 13, 11, 1, 1), "30303": (17, 47, 15.25, 14, 12, 1, 1), "30304": (20, 52, 16.25, 16, 13, 1.5, 1.5), "30305": (25, 62, 18.25, 17, 15, 1.5, 1.5), "30306": (30, 72, 20.75, 19, 16, 1.5, 1.5), "30307": (35, 80, 22.75, 21, 18, 2, 1.5), "30308": (40, 90, 25.25, 23, 20, 2, 1.5), "30309": (45, 100, 27.25, 25, 22, 2, 1.5), "30310": (50, 110, 29.25, 27, 23, 2.5, 2)}
11
12d, D, T, B, C, r, r1 = BEARINGS[designation]
13W = T
14model = Model()
15if detail == "simple":
16 outline = [(d / 2 + r, -W / 2), (D / 2 - r, -W / 2), (D / 2, -W / 2 + r), (D / 2, W / 2 - r), (D / 2 - r, W / 2), (d / 2 + r, W / 2),
17 (d / 2, W / 2 - r), (d / 2, -W / 2 + r)]
18 with model.sketch("section", on="XZ", name="Section") as sk:
19 sk.polyline("ring", outline, closed=True)
20 model.revolve("inner", "section", axis="Z", name="Bearing")
21else:
22 angle = math.radians(14)
23 section = (D - d) / 2
24 mean_r = (D + d) / 4
25 roller = 0.2 * section # mean roller radius
26 roller_length = 0.72 * C
27 slope = math.tan(angle)
28 offset = (roller * 1.04) / math.cos(angle)
29
30 def cone_race(z):
31 return mean_r - offset - z * slope
32
33 def cup_race(z):
34 return mean_r + offset - z * slope
35
36 cone_top = -T / 2 + B
37 cup_low = T / 2 - C
38 rib = 0.35 * roller
39 rib_z = -T / 2 + 0.16 * B
40 cone = [(d / 2 + r, -T / 2), (cone_race(rib_z) + rib, -T / 2), (cone_race(rib_z) + rib, rib_z), (cone_race(rib_z), rib_z), (cone_race(cone_top), cone_top), (d / 2 + 0.3 * r, cone_top), (d / 2, cone_top - 0.3 * r), (d / 2, -T / 2 + r)]
41 cup = [(cup_race(cup_low), cup_low), (D / 2 - 0.3 * r1, cup_low), (D / 2, cup_low + 0.3 * r1), (D / 2, T / 2 - r1), (D / 2 - r1, T / 2), (cup_race(T / 2), T / 2)]
42 with model.sketch("cone_section", on="XZ", name="Cone section") as sk:
43 sk.polyline("cone_ring", cone, closed=True)
44 model.revolve("cone", "cone_section", axis="Z", op="new", body="cone_body", name="Cone")
45 with model.sketch("cup_section", on="XZ", name="Cup section") as sk:
46 sk.polyline("cup_ring", cup, closed=True)
47 model.revolve("cup", "cup_section", axis="Z", op="new", body="cup_body", name="Cup")
48 ux, uz = -math.sin(angle), math.cos(angle)
49 nx, nz = math.cos(angle), math.sin(angle)
50 r_big, r_small = roller * 1.12, roller * 0.88
51 a = (mean_r - ux * roller_length / 2, -uz * roller_length / 2)
52 b = (mean_r + ux * roller_length / 2, uz * roller_length / 2)
53 with model.sketch("roller_section", on="XZ", name="Roller section") as sk:
54 sk.polyline("roller_half", [a, b, (b[0] + nx * r_small, b[1] + nz * r_small), (a[0] + nx * r_big, a[1] + nz * r_big)], closed=True)
55 model.revolve("roller", "roller_section", axis=((mean_r, 0, 0), (ux, 0, uz)), op="new", body="roller_body", name="Roller")
56 rollers = max(6, int(2 * math.pi * mean_r / (2.5 * r_big)))
57 model.circular_pattern("rollers", axis="Z", count=rollers, bodies=["roller_body"], name="Rollers")
58model.material("steel-generic")
59model.appearance(color="#b9bdc2")
60result = model.result()
61

Tapered roller bearing, 302 and 303 series, bore up to 50 mm. Bore d, outside diameter D, overall width T, cone width B, cup width C and chamfers r (cone back) and r1 (cup back) are sourced and make the fit. detail = "full": the cone with its back rib, the cup and the tapered rollers at an angle between them. The 14 degree angle, roller size, rib and roller count are proportions for looks, not for design, and never change the fit dimensions; the cage is not drawn. detail = "simple": one solid ring d x D x T. Axis along Z, centred on the origin; cone back face at z = -T/2, cup back face at z = +T/2. Dimensions from a maker's public catalogue (see the README); not affiliated with any maker.

Tapered roller bearing

Geometry

Tapered roller bearing, 302 and 303 series, bore up to 50 mm. Bore d, outside diameter D, overall width T, cone width B, cup width C and chamfers r (cone back) and r1 (cup back) are sourced and make the fit. detail = "full": the cone with its back rib, the cup and the tapered rollers at an angle between them. The 14 degree angle, roller size, rib and roller count are proportions for looks, not for design, and never change the fit dimensions; the cage is not drawn. detail = "simple": one solid ring d x D x T. Axis along Z, centred on the origin; cone back face at z = -T/2, cup back face at z = +T/2.

For the fit: the sourced dimensions below. For looks only, not for design: every other proportion named above.

Source

NTN, Ball and Roller Bearings, CAT. No. 2203-3/E (2024), https://www.ntnglobal.com/en/products/catalog/pdf/2203E.pdf, PDF pages 165 to 167.

Number d D T B C
30203 17 40 13.25 12 11
30204 20 47 15.25 14 12
30205 25 52 16.25 15 13
30206 30 62 17.25 16 14
30207 35 72 18.25 17 15
30208 40 80 19.75 18 16
30209 45 85 20.75 19 16
30210 50 90 21.75 20 17
30302 15 42 14.25 13 11
30303 17 47 15.25 14 12
30304 20 52 16.25 16 13
30305 25 62 18.25 17 15
30306 30 72 20.75 19 16
30307 35 80 22.75 21 18
30308 40 90 25.25 23 20
30309 45 100 27.25 25 22
30310 50 110 29.25 27 23

Maker names identify the source; this part isn't made by or affiliated with any maker.

Chamfers r and r1 are in part.py (BEARINGS), from the same tables. No tolerance class is stated yet.

  1. 1.1.0 Latest Compare with 1.0.0

    Looks like a bearing: rings and rolling elements. detail = simple keeps one solid ring.

  2. 1.0.0
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