steve/miter-gear

Straight miter gear (1:1 bevel, 90 degree) envelope, modules 1 to 3, with catalogue numbers as presets.

v1.0.0 STEVE MIT 0

Open in STEVE

Isometric

Parameters

Preset21 sizes

Catalogue number21 options

Defaults built

part.py 42 lines · Python · STEVE runtime · checked

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"""Straight miter gear (ratio 1:1), KHK SM series: an envelope for assemblies, the solid of revolution of the published outline with the teeth filled in:

hub of diameter B and width H on the XY plane, the back cone out to the outside diameter D at G above the back (the crown), and the tip cone at 45 degrees

up to the total length F, with the bore A through. Axis along Z; the back is on the XY plane. The teeth aren't modelled."""

from steve import Model

designation = "SM1-20" # Catalogue number

# number: (module, teeth, bore A, hub diameter B, outside diameter D, total length F, crown to back G, hub width H).

# KHK Gears catalogue 2025, Miter Gears, SM table, PDF p. 26, https://khkgears.us/media/lblpmezm/catalog-2025-miter-gears.pdf

GEARS = {

"SM1-20": (1, 20, 6, 16, 21.41, 13.94, 10.71, 8),

"SM1-25": (1, 25, 6, 20, 26.41, 15.16, 11.21, 8),

"SM1-30": (1, 30, 8, 24, 31.41, 17.71, 13.71, 10),

"SM1.25-20": (1.25, 20, 8, 22, 26.77, 15.27, 11.38, 9),

"SM1.25-25": (1.25, 25, 8, 25, 33.02, 17.88, 13.26, 9.25),

"SM1.25-30": (1.25, 30, 10, 30, 39.27, 23.47, 18.13, 13.5),

"SM1.5-20": (1.5, 20, 8, 26, 32.12, 21.24, 16.06, 13),

"SM1.5-25": (1.5, 25, 10, 30, 39.62, 22.25, 16.31, 11.5),

"SM1.5-30": (1.5, 30, 10, 36, 47.12, 28.24, 21.56, 16),

"SM2-16": (2, 16, 10, 27, 34.83, 19, 15.41, 11.5),

"SM2-20": (2, 20, 12, 34, 42.83, 24.89, 18.41, 14),

"SM2-25": (2, 25, 12, 40, 52.83, 24.33, 16.41, 10),

"SM2-30": (2, 30, 12, 45, 62.83, 29.42, 21.41, 12.5),

"SM2.5-16": (2.5, 16, 12, 34, 43.53, 21, 16.77, 12),

"SM2.5-20": (2.5, 20, 14, 42, 53.54, 32.54, 24.77, 19),

"SM2.5-25": (2.5, 25, 16, 50, 66.04, 30.41, 20.52, 12.5),

"SM2.5-30": (2.5, 30, 16, 60, 78.54, 36.28, 26.27, 17),

"SM3-16": (3, 16, 14, 42, 52.24, 23, 18.12, 13),

"SM3-20": (3, 20, 16, 50, 64.24, 39.84, 30.12, 23),

"SM3-25": (3, 25, 20, 60, 79.24, 37.81, 24.62, 15),

"SM3-30": (3, 30, 20, 70, 94.24, 45.47, 32.12, 20),

}

module, teeth, A, B, D, F, G, H = GEARS[designation]

tip_radius = D / 2 - (F - G)

model = Model()

with model.sketch("outline", on="XZ", name="Outline") as sk:

sk.polyline("profile", [(A / 2, 0), (B / 2, 0), (B / 2, H), (D / 2, G), (tip_radius, F), (A / 2, F)], closed=True)

model.revolve("gear", "outline", axis="Z", name="Gear")

model.material("steel-generic", color="#b4b8bd")

result = model.result()

"""Straight miter gear (ratio 1:1), KHK SM series: an envelope for assemblies, the solid of revolution of the published outline with the teeth filled in:
hub of diameter B and width H on the XY plane, the back cone out to the outside diameter D at G above the back (the crown), and the tip cone at 45 degrees
up to the total length F, with the bore A through. Axis along Z; the back is on the XY plane. The teeth aren't modelled."""
from steve import Model

designation = "SM1-20"  # Catalogue number

# number: (module, teeth, bore A, hub diameter B, outside diameter D, total length F, crown to back G, hub width H).
# KHK Gears catalogue 2025, Miter Gears, SM table, PDF p. 26, https://khkgears.us/media/lblpmezm/catalog-2025-miter-gears.pdf
GEARS = {
    "SM1-20": (1, 20, 6, 16, 21.41, 13.94, 10.71, 8),
    "SM1-25": (1, 25, 6, 20, 26.41, 15.16, 11.21, 8),
    "SM1-30": (1, 30, 8, 24, 31.41, 17.71, 13.71, 10),
    "SM1.25-20": (1.25, 20, 8, 22, 26.77, 15.27, 11.38, 9),
    "SM1.25-25": (1.25, 25, 8, 25, 33.02, 17.88, 13.26, 9.25),
    "SM1.25-30": (1.25, 30, 10, 30, 39.27, 23.47, 18.13, 13.5),
    "SM1.5-20": (1.5, 20, 8, 26, 32.12, 21.24, 16.06, 13),
    "SM1.5-25": (1.5, 25, 10, 30, 39.62, 22.25, 16.31, 11.5),
    "SM1.5-30": (1.5, 30, 10, 36, 47.12, 28.24, 21.56, 16),
    "SM2-16": (2, 16, 10, 27, 34.83, 19, 15.41, 11.5),
    "SM2-20": (2, 20, 12, 34, 42.83, 24.89, 18.41, 14),
    "SM2-25": (2, 25, 12, 40, 52.83, 24.33, 16.41, 10),
    "SM2-30": (2, 30, 12, 45, 62.83, 29.42, 21.41, 12.5),
    "SM2.5-16": (2.5, 16, 12, 34, 43.53, 21, 16.77, 12),
    "SM2.5-20": (2.5, 20, 14, 42, 53.54, 32.54, 24.77, 19),
    "SM2.5-25": (2.5, 25, 16, 50, 66.04, 30.41, 20.52, 12.5),
    "SM2.5-30": (2.5, 30, 16, 60, 78.54, 36.28, 26.27, 17),
    "SM3-16": (3, 16, 14, 42, 52.24, 23, 18.12, 13),
    "SM3-20": (3, 20, 16, 50, 64.24, 39.84, 30.12, 23),
    "SM3-25": (3, 25, 20, 60, 79.24, 37.81, 24.62, 15),
    "SM3-30": (3, 30, 20, 70, 94.24, 45.47, 32.12, 20),
}

module, teeth, A, B, D, F, G, H = GEARS[designation]
tip_radius = D / 2 - (F - G)
model = Model()
with model.sketch("outline", on="XZ", name="Outline") as sk:
    sk.polyline("profile", [(A / 2, 0), (B / 2, 0), (B / 2, H), (D / 2, G), (tip_radius, F), (A / 2, F)], closed=True)
model.revolve("gear", "outline", axis="Z", name="Gear")
model.material("steel-generic", color="#b4b8bd")
result = model.result()

pypart.toml 162 lines · TOML

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name = "steve/miter-gear"

version = "1.0.0"

runtime = "steve"

license = "MIT"

summary = "Straight miter gear (1:1 bevel, 90 degree) envelope, modules 1 to 3, with catalogue numbers as presets."

description = """Straight miter gear (1:1 bevel gears at 90 degrees) as an envelope for assemblies: the solid of revolution of the published outline with the teeth \

filled in. Axis along Z, back on the XY plane. Dimensions from a maker's public catalogue (see the README); not affiliated with any maker."""

tags = ["gear", "bevel-gear", "miter-gear", "metric", "power-transmission"]

[parameters.designation]

type = "choice"

default = "SM1-20"

choices = ["SM1-20", "SM1-25", "SM1-30", "SM1.25-20", "SM1.25-25", "SM1.25-30", "SM1.5-20", "SM1.5-25", "SM1.5-30", "SM2-16", "SM2-20", "SM2-25", "SM2-30", "SM2.5-16", "SM2.5-20", "SM2.5-25", "SM2.5-30", "SM3-16", "SM3-20", "SM3-25", "SM3-30"]

label = "Catalogue number"

[[presets]]

id = "SM1-20"

title = "SM1-20 (module 1, 20 teeth)"

params = { designation = "SM1-20" }

aliases = ["miter gear M1 20T", "bevel gear M1 20T", "KHK SM1-20", "module 1.0", "gear type=bevel_gear_45deg; module=1.0; teeth=20; simplified envelope", "SM1-20 (module 1, 20 teeth)", "gear type=miter_gear_1to1; module=1.0; teeth=20; simplified envelope"]

standard = "KHK SM"

[[presets]]

id = "SM1-30"

title = "SM1-30 (module 1, 30 teeth)"

params = { designation = "SM1-30" }

aliases = ["miter gear M1 30T", "bevel gear M1 30T", "KHK SM1-30", "module 1.0", "gear type=bevel_gear_45deg; module=1.0; teeth=30; simplified envelope", "SM1-30 (module 1, 30 teeth)", "gear type=miter_gear_1to1; module=1.0; teeth=30; simplified envelope"]

standard = "KHK SM"

[[presets]]

id = "SM1.5-20"

title = "SM1.5-20 (module 1.5, 20 teeth)"

params = { designation = "SM1.5-20" }

aliases = ["miter gear M1.5 20T", "bevel gear M1.5 20T", "KHK SM1.5-20", "module 1.5", "gear type=bevel_gear_45deg; module=1.5; teeth=20; simplified envelope", "SM1.5-20 (module 1.5, 20 teeth)", "gear type=miter_gear_1to1; module=1.5; teeth=20; simplified envelope"]

standard = "KHK SM"

[[presets]]

id = "SM1.5-30"

title = "SM1.5-30 (module 1.5, 30 teeth)"

params = { designation = "SM1.5-30" }

aliases = ["miter gear M1.5 30T", "bevel gear M1.5 30T", "KHK SM1.5-30", "module 1.5", "gear type=bevel_gear_45deg; module=1.5; teeth=30; simplified envelope", "SM1.5-30 (module 1.5, 30 teeth)", "gear type=miter_gear_1to1; module=1.5; teeth=30; simplified envelope"]

standard = "KHK SM"

[[presets]]

id = "SM2-16"

title = "SM2-16 (module 2, 16 teeth)"

params = { designation = "SM2-16" }

aliases = ["miter gear M2 16T", "bevel gear M2 16T", "KHK SM2-16", "module 2.0", "gear type=bevel_gear_45deg; module=2.0; teeth=16; simplified envelope", "SM2-16 (module 2, 16 teeth)", "gear type=miter_gear_1to1; module=2.0; teeth=16; simplified envelope"]

standard = "KHK SM"

[[presets]]

id = "SM2-20"

title = "SM2-20 (module 2, 20 teeth)"

params = { designation = "SM2-20" }

aliases = ["miter gear M2 20T", "bevel gear M2 20T", "KHK SM2-20", "module 2.0", "gear type=bevel_gear_45deg; module=2.0; teeth=20; simplified envelope", "SM2-20 (module 2, 20 teeth)", "gear type=miter_gear_1to1; module=2.0; teeth=20; simplified envelope"]

standard = "KHK SM"

[[presets]]

id = "SM2-30"

title = "SM2-30 (module 2, 30 teeth)"

params = { designation = "SM2-30" }

aliases = ["miter gear M2 30T", "bevel gear M2 30T", "KHK SM2-30", "module 2.0", "gear type=bevel_gear_45deg; module=2.0; teeth=30; simplified envelope", "SM2-30 (module 2, 30 teeth)", "gear type=miter_gear_1to1; module=2.0; teeth=30; simplified envelope"]

standard = "KHK SM"

[[presets]]

id = "SM1-25"

title = "SM1-25 (module 1, 25 teeth)"

params = { designation = "SM1-25" }

aliases = ["miter gear M1 25T", "KHK SM1-25"]

standard = "KHK SM"

[[presets]]

id = "SM1.25-20"

title = "SM1.25-20 (module 1.25, 20 teeth)"

params = { designation = "SM1.25-20" }

aliases = ["miter gear M1.25 20T", "KHK SM1.25-20"]

standard = "KHK SM"

[[presets]]

id = "SM1.25-25"

title = "SM1.25-25 (module 1.25, 25 teeth)"

params = { designation = "SM1.25-25" }

aliases = ["miter gear M1.25 25T", "KHK SM1.25-25"]

standard = "KHK SM"

[[presets]]

id = "SM1.25-30"

title = "SM1.25-30 (module 1.25, 30 teeth)"

params = { designation = "SM1.25-30" }

aliases = ["miter gear M1.25 30T", "KHK SM1.25-30"]

standard = "KHK SM"

[[presets]]

id = "SM1.5-25"

title = "SM1.5-25 (module 1.5, 25 teeth)"

params = { designation = "SM1.5-25" }

aliases = ["miter gear M1.5 25T", "KHK SM1.5-25"]

standard = "KHK SM"

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[[presets]]

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id = "SM2-25"

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title = "SM2-25 (module 2, 25 teeth)"

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params = { designation = "SM2-25" }

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aliases = ["miter gear M2 25T", "KHK SM2-25"]

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standard = "KHK SM"

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[[presets]]

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id = "SM2.5-16"

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title = "SM2.5-16 (module 2.5, 16 teeth)"

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params = { designation = "SM2.5-16" }

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aliases = ["miter gear M2.5 16T", "KHK SM2.5-16"]

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standard = "KHK SM"

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[[presets]]

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id = "SM2.5-20"

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title = "SM2.5-20 (module 2.5, 20 teeth)"

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params = { designation = "SM2.5-20" }

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aliases = ["miter gear M2.5 20T", "KHK SM2.5-20"]

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standard = "KHK SM"

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[[presets]]

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id = "SM2.5-25"

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title = "SM2.5-25 (module 2.5, 25 teeth)"

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params = { designation = "SM2.5-25" }

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aliases = ["miter gear M2.5 25T", "KHK SM2.5-25"]

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standard = "KHK SM"

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[[presets]]

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id = "SM2.5-30"

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title = "SM2.5-30 (module 2.5, 30 teeth)"

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params = { designation = "SM2.5-30" }

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aliases = ["miter gear M2.5 30T", "KHK SM2.5-30"]

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standard = "KHK SM"

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[[presets]]

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id = "SM3-16"

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title = "SM3-16 (module 3, 16 teeth)"

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params = { designation = "SM3-16" }

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aliases = ["miter gear M3 16T", "KHK SM3-16"]

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standard = "KHK SM"

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[[presets]]

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id = "SM3-20"

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title = "SM3-20 (module 3, 20 teeth)"

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params = { designation = "SM3-20" }

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aliases = ["miter gear M3 20T", "KHK SM3-20"]

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standard = "KHK SM"

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[[presets]]

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id = "SM3-25"

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title = "SM3-25 (module 3, 25 teeth)"

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params = { designation = "SM3-25" }

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aliases = ["miter gear M3 25T", "KHK SM3-25"]

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standard = "KHK SM"

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[[presets]]

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id = "SM3-30"

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title = "SM3-30 (module 3, 30 teeth)"

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params = { designation = "SM3-30" }

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aliases = ["miter gear M3 30T", "KHK SM3-30"]

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standard = "KHK SM"

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name = "steve/miter-gear"
version = "1.0.0"
runtime = "steve"
license = "MIT"
summary = "Straight miter gear (1:1 bevel, 90 degree) envelope, modules 1 to 3, with catalogue numbers as presets."
description = """Straight miter gear (1:1 bevel gears at 90 degrees) as an envelope for assemblies: the solid of revolution of the published outline with the teeth \
filled in. Axis along Z, back on the XY plane. Dimensions from a maker's public catalogue (see the README); not affiliated with any maker."""
tags = ["gear", "bevel-gear", "miter-gear", "metric", "power-transmission"]

[parameters.designation]
type = "choice"
default = "SM1-20"
choices = ["SM1-20", "SM1-25", "SM1-30", "SM1.25-20", "SM1.25-25", "SM1.25-30", "SM1.5-20", "SM1.5-25", "SM1.5-30", "SM2-16", "SM2-20", "SM2-25", "SM2-30", "SM2.5-16", "SM2.5-20", "SM2.5-25", "SM2.5-30", "SM3-16", "SM3-20", "SM3-25", "SM3-30"]
label = "Catalogue number"

[[presets]]
id = "SM1-20"
title = "SM1-20 (module 1, 20 teeth)"
params = { designation = "SM1-20" }
aliases = ["miter gear M1 20T", "bevel gear M1 20T", "KHK SM1-20", "module 1.0", "gear type=bevel_gear_45deg; module=1.0; teeth=20; simplified envelope", "SM1-20 (module 1, 20 teeth)", "gear type=miter_gear_1to1; module=1.0; teeth=20; simplified envelope"]
standard = "KHK SM"

[[presets]]
id = "SM1-30"
title = "SM1-30 (module 1, 30 teeth)"
params = { designation = "SM1-30" }
aliases = ["miter gear M1 30T", "bevel gear M1 30T", "KHK SM1-30", "module 1.0", "gear type=bevel_gear_45deg; module=1.0; teeth=30; simplified envelope", "SM1-30 (module 1, 30 teeth)", "gear type=miter_gear_1to1; module=1.0; teeth=30; simplified envelope"]
standard = "KHK SM"

[[presets]]
id = "SM1.5-20"
title = "SM1.5-20 (module 1.5, 20 teeth)"
params = { designation = "SM1.5-20" }
aliases = ["miter gear M1.5 20T", "bevel gear M1.5 20T", "KHK SM1.5-20", "module 1.5", "gear type=bevel_gear_45deg; module=1.5; teeth=20; simplified envelope", "SM1.5-20 (module 1.5, 20 teeth)", "gear type=miter_gear_1to1; module=1.5; teeth=20; simplified envelope"]
standard = "KHK SM"

[[presets]]
id = "SM1.5-30"
title = "SM1.5-30 (module 1.5, 30 teeth)"
params = { designation = "SM1.5-30" }
aliases = ["miter gear M1.5 30T", "bevel gear M1.5 30T", "KHK SM1.5-30", "module 1.5", "gear type=bevel_gear_45deg; module=1.5; teeth=30; simplified envelope", "SM1.5-30 (module 1.5, 30 teeth)", "gear type=miter_gear_1to1; module=1.5; teeth=30; simplified envelope"]
standard = "KHK SM"

[[presets]]
id = "SM2-16"
title = "SM2-16 (module 2, 16 teeth)"
params = { designation = "SM2-16" }
aliases = ["miter gear M2 16T", "bevel gear M2 16T", "KHK SM2-16", "module 2.0", "gear type=bevel_gear_45deg; module=2.0; teeth=16; simplified envelope", "SM2-16 (module 2, 16 teeth)", "gear type=miter_gear_1to1; module=2.0; teeth=16; simplified envelope"]
standard = "KHK SM"

[[presets]]
id = "SM2-20"
title = "SM2-20 (module 2, 20 teeth)"
params = { designation = "SM2-20" }
aliases = ["miter gear M2 20T", "bevel gear M2 20T", "KHK SM2-20", "module 2.0", "gear type=bevel_gear_45deg; module=2.0; teeth=20; simplified envelope", "SM2-20 (module 2, 20 teeth)", "gear type=miter_gear_1to1; module=2.0; teeth=20; simplified envelope"]
standard = "KHK SM"

[[presets]]
id = "SM2-30"
title = "SM2-30 (module 2, 30 teeth)"
params = { designation = "SM2-30" }
aliases = ["miter gear M2 30T", "bevel gear M2 30T", "KHK SM2-30", "module 2.0", "gear type=bevel_gear_45deg; module=2.0; teeth=30; simplified envelope", "SM2-30 (module 2, 30 teeth)", "gear type=miter_gear_1to1; module=2.0; teeth=30; simplified envelope"]
standard = "KHK SM"

[[presets]]
id = "SM1-25"
title = "SM1-25 (module 1, 25 teeth)"
params = { designation = "SM1-25" }
aliases = ["miter gear M1 25T", "KHK SM1-25"]
standard = "KHK SM"

[[presets]]
id = "SM1.25-20"
title = "SM1.25-20 (module 1.25, 20 teeth)"
params = { designation = "SM1.25-20" }
aliases = ["miter gear M1.25 20T", "KHK SM1.25-20"]
standard = "KHK SM"

[[presets]]
id = "SM1.25-25"
title = "SM1.25-25 (module 1.25, 25 teeth)"
params = { designation = "SM1.25-25" }
aliases = ["miter gear M1.25 25T", "KHK SM1.25-25"]
standard = "KHK SM"

[[presets]]
id = "SM1.25-30"
title = "SM1.25-30 (module 1.25, 30 teeth)"
params = { designation = "SM1.25-30" }
aliases = ["miter gear M1.25 30T", "KHK SM1.25-30"]
standard = "KHK SM"

[[presets]]
id = "SM1.5-25"
title = "SM1.5-25 (module 1.5, 25 teeth)"
params = { designation = "SM1.5-25" }
aliases = ["miter gear M1.5 25T", "KHK SM1.5-25"]
standard = "KHK SM"

[[presets]]
id = "SM2-25"
title = "SM2-25 (module 2, 25 teeth)"
params = { designation = "SM2-25" }
aliases = ["miter gear M2 25T", "KHK SM2-25"]
standard = "KHK SM"

[[presets]]
id = "SM2.5-16"
title = "SM2.5-16 (module 2.5, 16 teeth)"
params = { designation = "SM2.5-16" }
aliases = ["miter gear M2.5 16T", "KHK SM2.5-16"]
standard = "KHK SM"

[[presets]]
id = "SM2.5-20"
title = "SM2.5-20 (module 2.5, 20 teeth)"
params = { designation = "SM2.5-20" }
aliases = ["miter gear M2.5 20T", "KHK SM2.5-20"]
standard = "KHK SM"

[[presets]]
id = "SM2.5-25"
title = "SM2.5-25 (module 2.5, 25 teeth)"
params = { designation = "SM2.5-25" }
aliases = ["miter gear M2.5 25T", "KHK SM2.5-25"]
standard = "KHK SM"

[[presets]]
id = "SM2.5-30"
title = "SM2.5-30 (module 2.5, 30 teeth)"
params = { designation = "SM2.5-30" }
aliases = ["miter gear M2.5 30T", "KHK SM2.5-30"]
standard = "KHK SM"

[[presets]]
id = "SM3-16"
title = "SM3-16 (module 3, 16 teeth)"
params = { designation = "SM3-16" }
aliases = ["miter gear M3 16T", "KHK SM3-16"]
standard = "KHK SM"

[[presets]]
id = "SM3-20"
title = "SM3-20 (module 3, 20 teeth)"
params = { designation = "SM3-20" }
aliases = ["miter gear M3 20T", "KHK SM3-20"]
standard = "KHK SM"

[[presets]]
id = "SM3-25"
title = "SM3-25 (module 3, 25 teeth)"
params = { designation = "SM3-25" }
aliases = ["miter gear M3 25T", "KHK SM3-25"]
standard = "KHK SM"

[[presets]]
id = "SM3-30"
title = "SM3-30 (module 3, 30 teeth)"
params = { designation = "SM3-30" }
aliases = ["miter gear M3 30T", "KHK SM3-30"]
standard = "KHK SM"

README.md 40 lines · Markdown

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Miter gear

Straight miter gear, 1:1, as an envelope for assemblies. Axis along Z, back on the XY plane.

Geometry

A solid of revolution with the teeth filled in: the hub, the back cone out to the outside diameter D at the crown (G above the back), a 45° cone up to the total length F, and the bore. Teeth aren't modelled: this part is for layouts and fits, not tooth contact.

Source

KHK Gears, catalogue 2025, Miter Gears, SM table (carbon steel, straight), PDF p. 26, https://khkgears.us/media/lblpmezm/catalog-2025-miter-gears.pdf. The 45° tip cone is this outline's simplification, checked against the table: (D − B)/2 and (G − H) agree on these sizes.

Number	Module	Teeth	Bore A	Hub B	Outside D	Total F	Crown to back G	Hub width H
SM1-20	1	20	6	16	21.41	13.94	10.71	8
SM1-25	1	25	6	20	26.41	15.16	11.21	8
SM1-30	1	30	8	24	31.41	17.71	13.71	10
SM1.25-20	1.25	20	8	22	26.77	15.27	11.38	9
SM1.25-25	1.25	25	8	25	33.02	17.88	13.26	9.25
SM1.25-30	1.25	30	10	30	39.27	23.47	18.13	13.5
SM1.5-20	1.5	20	8	26	32.12	21.24	16.06	13
SM1.5-25	1.5	25	10	30	39.62	22.25	16.31	11.5
SM1.5-30	1.5	30	10	36	47.12	28.24	21.56	16
SM2-16	2	16	10	27	34.83	19	15.41	11.5
SM2-20	2	20	12	34	42.83	24.89	18.41	14
SM2-25	2	25	12	40	52.83	24.33	16.41	10
SM2-30	2	30	12	45	62.83	29.42	21.41	12.5
SM2.5-16	2.5	16	12	34	43.53	21	16.77	12
SM2.5-20	2.5	20	14	42	53.54	32.54	24.77	19
SM2.5-25	2.5	25	16	50	66.04	30.41	20.52	12.5
SM2.5-30	2.5	30	16	60	78.54	36.28	26.27	17
SM3-16	3	16	14	42	52.24	23	18.12	13
SM3-20	3	20	16	50	64.24	39.84	30.12	23
SM3-25	3	25	20	60	79.24	37.81	24.62	15
SM3-30	3	30	20	70	94.24	45.47	32.12	20

Maker names identify the source; this part isn't made by or affiliated with KHK. Module 0.8 and teeth 24, 36 aren't in this table and aren't offered.

# Miter gear

Straight miter gear, 1:1, as an envelope for assemblies. Axis along Z, back on the XY plane.

## Geometry

A solid of revolution with the teeth filled in: the hub, the back cone out to the outside diameter D at the crown (G above the back), a 45° cone up to the

total length F, and the bore. Teeth aren't modelled: this part is for layouts and fits, not tooth contact.

## Source

KHK Gears, catalogue 2025, Miter Gears, SM table (carbon steel, straight), PDF p. 26, <https://khkgears.us/media/lblpmezm/catalog-2025-miter-gears.pdf>.

The 45° tip cone is this outline's simplification, checked against the table: (D − B)/2 and (G − H) agree on these sizes.

|---|---|---|---|---|---|---|---|---|

| SM1-20 | 1 | 20 | 6 | 16 | 21.41 | 13.94 | 10.71 | 8 |

| SM1-25 | 1 | 25 | 6 | 20 | 26.41 | 15.16 | 11.21 | 8 |

| SM1-30 | 1 | 30 | 8 | 24 | 31.41 | 17.71 | 13.71 | 10 |

| SM1.25-20 | 1.25 | 20 | 8 | 22 | 26.77 | 15.27 | 11.38 | 9 |

| SM1.25-25 | 1.25 | 25 | 8 | 25 | 33.02 | 17.88 | 13.26 | 9.25 |

| SM1.25-30 | 1.25 | 30 | 10 | 30 | 39.27 | 23.47 | 18.13 | 13.5 |

| SM1.5-20 | 1.5 | 20 | 8 | 26 | 32.12 | 21.24 | 16.06 | 13 |

| SM1.5-25 | 1.5 | 25 | 10 | 30 | 39.62 | 22.25 | 16.31 | 11.5 |

| SM1.5-30 | 1.5 | 30 | 10 | 36 | 47.12 | 28.24 | 21.56 | 16 |

| SM2-16 | 2 | 16 | 10 | 27 | 34.83 | 19 | 15.41 | 11.5 |

| SM2-20 | 2 | 20 | 12 | 34 | 42.83 | 24.89 | 18.41 | 14 |

| SM2-25 | 2 | 25 | 12 | 40 | 52.83 | 24.33 | 16.41 | 10 |

| SM2-30 | 2 | 30 | 12 | 45 | 62.83 | 29.42 | 21.41 | 12.5 |

| SM2.5-16 | 2.5 | 16 | 12 | 34 | 43.53 | 21 | 16.77 | 12 |

| SM2.5-20 | 2.5 | 20 | 14 | 42 | 53.54 | 32.54 | 24.77 | 19 |

| SM2.5-25 | 2.5 | 25 | 16 | 50 | 66.04 | 30.41 | 20.52 | 12.5 |

| SM2.5-30 | 2.5 | 30 | 16 | 60 | 78.54 | 36.28 | 26.27 | 17 |

| SM3-16 | 3 | 16 | 14 | 42 | 52.24 | 23 | 18.12 | 13 |

| SM3-20 | 3 | 20 | 16 | 50 | 64.24 | 39.84 | 30.12 | 23 |

| SM3-25 | 3 | 25 | 20 | 60 | 79.24 | 37.81 | 24.62 | 15 |

| SM3-30 | 3 | 30 | 20 | 70 | 94.24 | 45.47 | 32.12 | 20 |

Maker names identify the source; this part isn't made by or affiliated with KHK. Module 0.8 and teeth 24, 36 aren't in this table and aren't offered.

# Miter gear

Straight miter gear, 1:1, as an envelope for assemblies. Axis along Z, back on the XY plane.

## Geometry

A solid of revolution with the teeth filled in: the hub, the back cone out to the outside diameter D at the crown (G above the back), a 45° cone up to the
total length F, and the bore. Teeth aren't modelled: this part is for layouts and fits, not tooth contact.

## Source

KHK Gears, catalogue 2025, Miter Gears, SM table (carbon steel, straight), PDF p. 26, <https://khkgears.us/media/lblpmezm/catalog-2025-miter-gears.pdf>.
The 45° tip cone is this outline's simplification, checked against the table: (D − B)/2 and (G − H) agree on these sizes.

| Number | Module | Teeth | Bore A | Hub B | Outside D | Total F | Crown to back G | Hub width H |
|---|---|---|---|---|---|---|---|---|
| SM1-20 | 1 | 20 | 6 | 16 | 21.41 | 13.94 | 10.71 | 8 |
| SM1-25 | 1 | 25 | 6 | 20 | 26.41 | 15.16 | 11.21 | 8 |
| SM1-30 | 1 | 30 | 8 | 24 | 31.41 | 17.71 | 13.71 | 10 |
| SM1.25-20 | 1.25 | 20 | 8 | 22 | 26.77 | 15.27 | 11.38 | 9 |
| SM1.25-25 | 1.25 | 25 | 8 | 25 | 33.02 | 17.88 | 13.26 | 9.25 |
| SM1.25-30 | 1.25 | 30 | 10 | 30 | 39.27 | 23.47 | 18.13 | 13.5 |
| SM1.5-20 | 1.5 | 20 | 8 | 26 | 32.12 | 21.24 | 16.06 | 13 |
| SM1.5-25 | 1.5 | 25 | 10 | 30 | 39.62 | 22.25 | 16.31 | 11.5 |
| SM1.5-30 | 1.5 | 30 | 10 | 36 | 47.12 | 28.24 | 21.56 | 16 |
| SM2-16 | 2 | 16 | 10 | 27 | 34.83 | 19 | 15.41 | 11.5 |
| SM2-20 | 2 | 20 | 12 | 34 | 42.83 | 24.89 | 18.41 | 14 |
| SM2-25 | 2 | 25 | 12 | 40 | 52.83 | 24.33 | 16.41 | 10 |
| SM2-30 | 2 | 30 | 12 | 45 | 62.83 | 29.42 | 21.41 | 12.5 |
| SM2.5-16 | 2.5 | 16 | 12 | 34 | 43.53 | 21 | 16.77 | 12 |
| SM2.5-20 | 2.5 | 20 | 14 | 42 | 53.54 | 32.54 | 24.77 | 19 |
| SM2.5-25 | 2.5 | 25 | 16 | 50 | 66.04 | 30.41 | 20.52 | 12.5 |
| SM2.5-30 | 2.5 | 30 | 16 | 60 | 78.54 | 36.28 | 26.27 | 17 |
| SM3-16 | 3 | 16 | 14 | 42 | 52.24 | 23 | 18.12 | 13 |
| SM3-20 | 3 | 20 | 16 | 50 | 64.24 | 39.84 | 30.12 | 23 |
| SM3-25 | 3 | 25 | 20 | 60 | 79.24 | 37.81 | 24.62 | 15 |
| SM3-30 | 3 | 30 | 20 | 70 | 94.24 | 45.47 | 32.12 | 20 |

Maker names identify the source; this part isn't made by or affiliated with KHK. Module 0.8 and teeth 24, 36 aren't in this table and aren't offered.

Use this part

STEVE

Open in STEVE

Open it in STEVE The STEVE runtime runs in STEVE: open the part there, or download the code and bundle.

Get the code

curl -o part.py "https://pythonparts.org/p/steve/miter-gear/v/1.0.0/raw/part.py"

Raw files, bundle and API

part.py
pypart.toml
README.md
bundle.tar.gzthe package, as published

curl "https://pythonparts.org/api/v1/parts/steve/miter-gear/1.0.0"

The version's JSON (parameters, presets, files); add /build?name=value for a build at other values.

About this part

steve74 parts

Profile

Steel (generic)Carbon & alloy steels · Custom finish · 7.9 g/cm³

Mass: 22.2 g

At the parameters shown in the viewer.

License: MIT

Permissive: use, change and sell it; keep the copyright notice.

Runtime: STEVE
Requirements: None stated in the code
Built with: CadQuery 2.9.0.dev0
Published: Nov 4, 2026
Downloads: 0
Builds: 0
Stars: 0
Bundle: c62435b55ecd…

#gear #bevel-gear #miter-gear #metric #power-transmission

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Straight miter gear (1:1 bevel gears at 90 degrees) as an envelope for assemblies: the solid of revolution of the published outline with the teeth filled in. Axis along Z, back on the XY plane. Dimensions from a maker's public catalogue (see the README); not affiliated with any maker.

Miter gear

Straight miter gear, 1:1, as an envelope for assemblies. Axis along Z, back on the XY plane.

Geometry

Source

Number	Module	Teeth	Bore A	Hub B	Outside D	Total F	Crown to back G	Hub width H
SM1-20	1	20	6	16	21.41	13.94	10.71	8
SM1-25	1	25	6	20	26.41	15.16	11.21	8
SM1-30	1	30	8	24	31.41	17.71	13.71	10
SM1.25-20	1.25	20	8	22	26.77	15.27	11.38	9
SM1.25-25	1.25	25	8	25	33.02	17.88	13.26	9.25
SM1.25-30	1.25	30	10	30	39.27	23.47	18.13	13.5
SM1.5-20	1.5	20	8	26	32.12	21.24	16.06	13
SM1.5-25	1.5	25	10	30	39.62	22.25	16.31	11.5
SM1.5-30	1.5	30	10	36	47.12	28.24	21.56	16
SM2-16	2	16	10	27	34.83	19	15.41	11.5
SM2-20	2	20	12	34	42.83	24.89	18.41	14
SM2-25	2	25	12	40	52.83	24.33	16.41	10
SM2-30	2	30	12	45	62.83	29.42	21.41	12.5
SM2.5-16	2.5	16	12	34	43.53	21	16.77	12
SM2.5-20	2.5	20	14	42	53.54	32.54	24.77	19
SM2.5-25	2.5	25	16	50	66.04	30.41	20.52	12.5
SM2.5-30	2.5	30	16	60	78.54	36.28	26.27	17
SM3-16	3	16	14	42	52.24	23	18.12	13
SM3-20	3	20	16	50	64.24	39.84	30.12	23
SM3-25	3	25	20	60	79.24	37.81	24.62	15
SM3-30	3	30	20	70	94.24	45.47	32.12	20

Maker names identify the source; this part isn't made by or affiliated with KHK. Module 0.8 and teeth 24, 36 aren't in this table and aren't offered.

1.1.0 Latest Nov 5, 2026 · 1 hour ago Compare with 1.0.0

Real teeth. detail = simple keeps them filled in.
1.0.0 Nov 4, 2026 · 3 hours ago

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Miter gear

Geometry

Source

Miter gear

Geometry

Source

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