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Spiral Bevel Dimension Sheet (DPLX / SFDH)

No login required · Every field dual English/SI · Gleason CAGE-calibrated

Every parameter shows two fields side-by-side: English/Diametral Pitch (in · 1/in) on the left and SI/Module (mm · mm) on the right. Enter values in either system — enter Diametral Pitch or Module (they auto-link). Input fields on the left; PINION and GEAR columns on the right. Press Calculate to compute all derived geometry using the verified Gleason CAGE SFDH (FORMATE gear + generated pinion, DPLX taper) calculation path.
PARAMETERPINION — English | SIGEAR — English | SI

Number of Teeth

Direct design input. Pinion (n) and Gear (N). Integer value — no unit conversion applies.

teeth (pinion n)
teeth (gear N)

Diametral Pitch / Module

Enter DP (English) or Module (SI) — the other auto-computes. Pd = 25.4 / m_n. Single value applies to both members.

1/in
mm
Same value for both members

Face Width (F)

Must not exceed Ao/3 or 10/Pd, whichever is smaller (Gleason SFT sheet 1 item 4). Enter in inches or mm.

in
mm
in
mm

Shaft Angle (Σ)

Angle between pinion and gear axes. Standard automotive = 90°. Same value for both members.

°
degrees (no conversion)Same for both members

Pressure Angle φ

Standard = 20°. Concave (outside blade OB) and convex (inside blade IB) sides. Angles in degrees — no linear unit conversion.

Concave°
Convex°
Symmetric for both members in this design (20° / 20°)

Mean Spiral Angle (β_m)

Design input. Outer and inner spiral angles are derived from β_m, the cutter radius, and cone distances. Desired range 35°–40° for most applications.

° decimal= 28° 26'
Same for both members

Depth Factor K (optional — see overrides)

Gleason curved-tooth working-depth factor. h_k ≈ K·√(cos β_m)/Pd. Standard = 2.000. Not required when overriding working depth or addendum below.

dimensionless
Same for both members

Addendum Factor C₁ (optional — see overrides)

Controls addendum balance: a_og ≈ C₁·h_k·1.024. Typical = 0.261. Not required when overriding addendum below — a_op + a_og = h_k still holds.

dimensionless
Governs addendum balance (not gear addendum = C1/Pd)
PARAMETERPINION — English | SIGEAR — English | SI

Cutter Radius (rc)

Choose closest standard cutter radius: 0.25, 0.55, 0.75, 1.0, 1.375, 1.75, 2.25, 3.0 in. Generally ≈ Ao.

in
mm
in
mm

Gear Finishing Point Width (W_G)

Direct design control input (SFT item 43/44). The slot-width taper condition and pinion point width are solved from this value. S022844 = 0.150 in.

in
mm
Gear (design control) — pinion W_P solved from DPLX condition

Edge Radius Used in Calc (r_e)

Entered blade tip radius used in bending-strength J-factor calculation. Must not exceed computed max allowable. S022844: pinion 0.025 in, gear 0.060 in.

Pinionin
mm
in
mm

Stock Allowance (Δt)

Finish stock on each side of tooth. Zero for direct finish cut. Entered in inches or mm.

in
mm
in
mm

Outer Normal Backlash (j_n)

Min and max assembled backlash. From SFT backlash table: DP 4 → 0.006–0.008 in recommended. S022844 uses 0.006–0.012 in.

Mininmm
Maxinmm
Applies to assembled pair

Hand of Spiral / Driving Member / Rotation

Categorical — no unit conversion. Hand: LH pinion meshes with RH gear (standard for CW driver). SFDH branch: NON-GENERATED gear.

Hand — Pinion
Gear Type
Depthwise Taper
Hand — Gear
Driving Member
Driver Rotation

Enter gear parameters above (pre-loaded with S022844 example), then press Calculate to see all Gleason dimension sheet outputs in both English and SI units.