Gear Tooth Module Calculator
Choose the unknown and explicitly confirm the spur assumption. Enter the other two positive values; teeth must be representable positive whole numbers. Optional second tooth count gives center distance. Optional 1–20 comparison rows contain one whole tooth count each. Helix angle β (degrees; 0 ≤ β < 90). Helical conversion only: mn=mt cosβ and d=mt z. Tooth depths, tip/root diameters, center distance, pressure angles, profile shift, bevel and proprietary standard tables remain unavailable for helical mode.
A QUICK WALKTHROUGH
How to use this tool
- Choose the unknown and explicitly confirm the spur assumption. Enter the other two positive values; teeth must be representable positive whole numbers. Optional second tooth count gives center distance. Optional 1–20 comparison rows contain one whole tooth count each. Helix angle β (degrees; 0 ≤ β < 90). Helical conversion only: mn=mt cosβ and d=mt z. Tooth depths, tip/root diameters, center distance, pressure angles, profile shift, bevel and proprietary standard tables remain unavailable for helical mode.
- m = d/z; d = mz; z = d/m; p = πm; s = p/2; ha = m; hf = 1.25m; h = 2.25m; c = 0.25m; da = m(z+2); df = m(z−2.5); a12 = m(z+z2)/2. Helical: mn = mt cosβ; d = mt z; pn = πmn; pt = πmt.
- Calculations and report stay in this browser. Copy or download only the last successful unchanged snapshot.
Scope and limitations
User-confirmed unshifted full-depth spur assumption: addendum m, dedendum 1.25m. Positive root diameter required. These dimensions do not establish undercut, strength or mesh suitability. profile shift, bevel gears, pressure-angle/base-circle outputs and proprietary module tables remain unavailable pending a supported independent model.
Scope and limitations
Helical conversion only: mn=mt cosβ and d=mt z. Tooth depths, tip/root diameters, center distance, pressure angles, profile shift, bevel and proprietary standard tables remain unavailable for helical mode.
Equations
m = d/z; d = mz; z = d/m; p = πm; s = p/2; ha = m; hf = 1.25m; h = 2.25m; c = 0.25m; da = m(z+2); df = m(z−2.5); a12 = m(z+z2)/2. Helical: mn = mt cosβ; d = mt z; pn = πmn; pt = πmt.
How to use
Choose the unknown and explicitly confirm the spur assumption. Enter the other two positive values; teeth must be representable positive whole numbers. Optional second tooth count gives center distance. Optional 1–20 comparison rows contain one whole tooth count each. Helix angle β (degrees; 0 ≤ β < 90). Helical conversion only: mn=mt cosβ and d=mt z. Tooth depths, tip/root diameters, center distance, pressure angles, profile shift, bevel and proprietary standard tables remain unavailable for helical mode.
GOOD TO KNOW
Common questions
What does this result establish?
User-confirmed unshifted full-depth spur assumption: addendum m, dedendum 1.25m. Positive root diameter required. These dimensions do not establish undercut, strength or mesh suitability. profile shift, bevel gears, pressure-angle/base-circle outputs and proprietary module tables remain unavailable pending a supported independent model. Helical conversion only: mn=mt cosβ and d=mt z. Tooth depths, tip/root diameters, center distance, pressure angles, profile shift, bevel and proprietary standard tables remain unavailable for helical mode.
Are inputs uploaded?
Calculations and report stay in this browser. Copy or download only the last successful unchanged snapshot.