VALICALC / MECHANICAL ENGINEERING SUITE / DS11

Gear Duty & Preliminary Stress Design Sheet

Review duty and stress at the actual selected gear dimensions. Linked DS10 geometry updates when teeth, module or profile shift change. Classical spur stress estimates are separated from complete ISO/AGMA rating, material qualification and fatigue-life verification.

Verified mathematical models with explicit assumptions. Component capacity and applicability are shown as separate checks.

Labeled example inputs • SI calculations • Project revision 0 • No account or cloud upload

01 / ENGINEERING INPUTS

Define the operating point

mm
MPa
MPa
MPa
MPa
MPa

Gear duty cases

Gear duty case 1
N·m
rpm
s
Gear duty case 2
N·m
rpm
s

02 / CALCULATE → SELECT → RECALCULATE

Calculation & checks

Peak tangential mesh force

5,000 N

Nominal peak radial force

1,819.85117 N

Nominal peak helical axial force

0 N

Peak pinion shaft power

15.70796 kW

Pinion load-cycle count

112,500

Gear load-cycle count

37,500

Actual pitch ratio

3

Peak preliminary Lewis pinion stress

185.18519 MPa

Peak preliminary Lewis gear stress

158.73016 MPa

Peak ideal Hertz pitch-point pressure

920.05414 MPa

Reduced pitch-point contact radius

7.69545 mm

Reduced elastic contact modulus

115,384.61538 MPa
Gear Duty & Preliminary Stress Design Sheet: gears schematicActual pitch circles · center distance
Original schematic; not a manufacturing drawing. External stress schematic · Working pitch / mesh force · Duty cases. Actual dimensions and model checks are listed in the calculation record.
Intermediate values and comparisons - SI units
CaseT1 (N·m)RPM1Ft (N)P1 (W)Pinion cyclesGear cyclesLewis pinion (Pa)Lewis gear (Pa)Hertz (Pa)
11001,5003,333.33333315,707.96326890,00030,000123,456,790.123457105,820,105.820106751,221,056.734507
21507505,00011,780.97245122,5007,500185,185,185.185185158,730,158.730159920,054,136.516958

Criterion-specific verification

  • PASSED · DS10 actual selected geometry

    Inputs are read directly from the current project and recalculated, not from stale saved results.

  • UNKNOWN · Supplied preliminary pinion root criterion

    Lewis estimate only; no calibrated full rating factors. No positive applicable limit was supplied.

  • UNKNOWN · Supplied preliminary gear root criterion

    Lewis estimate only. No positive applicable limit was supplied.

  • UNKNOWN · Supplied preliminary contact-stress criterion

    Ideal elastic pitch-point pressure; not a pitting life prediction. No positive applicable limit was supplied.

  • UNKNOWN · Lewis / material / duty coefficient qualification

    Example Y and elastic modulus are not approved material or tooth factors. Applicability and actual duty spectrum require engineering review.

  • BLOCKED · Full ISO/AGMA gear rating / fatigue life

    Complete applicable standard, material/heat-treatment data, load factors, accuracy, lubrication and independent benchmark are not available. No certified load capacity.

Method and calculation trace

Actual working pitch diameter gives Ft = 2T/dw. Each supplied case contributes n t/60 times the entered mesh-count convention.

Lewis factor is module-based Y; do not substitute a circular-pitch y without its π conversion. No historical lookup table or empirical load factor is applied.

Hertz uses local involute curvature rb tan(αw), full single-pair normal load and reduced elastic modulus; helical/internal stress is deliberately withheld.

Geometry changes rerun every duty/stress case. Spectrum aggregation into fatigue capacity is method-specific and remains blocked.

Assumptions & scope

Classical Lewis σ = Ft/(b m Y) uses the supplied dimensionless module-based Y convention (not a circular-pitch y without π conversion). Full single-tooth tangential load is assumed; dynamic/distribution factors are not fabricated.

Hertz estimates ideal elastic line contact at the working pitch point for external spur gears. Surface roughness, load sharing, misalignment, lubrication and pitting life require a complete applicable rating method.

Helical/internal linked geometry still gives duty and nominal force calculations; the classical spur root/contact stress models are blocked. No full ISO 6336/AGMA capacity or fatigue life is certified.

Worked example

An unshifted external 20/60-tooth, 3 mm module pair has a 60 mm pinion pitch diameter. At 100 N·m, Ft = 3333.33 N. With 30 mm face and illustrative Lewis Y = 0.30, nominal pinion bending is 123.457 MPa. A separate 150 N·m duty case controls peak stress; material approval stays unresolved.

Calculation methods and sources

Ft = 2T/dw; Ncase = n t meshCount/60

Actual working pitch diameter and explicitly entered per-member mesh-count convention. Magnitudes and peak stresses are not equivalent fatigue-life ratings.

Independent torque/work and revolution counting; Tập 1 6.6 printed p93 / PDF92 and geometry context pp99–106.

σLewis = Ft/(b m Y)

External spur, module-based supplied Y. The circular-pitch form uses y = Y/π. A simple cantilever reduction gives Y = tRoot²/(6 m hLoad); exact tooth form, root concentration and dynamic factors remain unqualified.

Independent cantilever bending reduction and supplied dimensionless tooth form. Current ISO/AGMA rating is not implemented; empirical Y/material tables are not copied.

Textbook references identify the method context. Historical numerical catalog, material and service-factor tables have not been copied or treated as current product ratings.

Related calculators and references

Existing component-selection Jobs → · All mechanical worksheets →

Common questions

Does this approve a real component?

No. The worksheet separates mathematical results from criterion-specific checks. Actual motor, belt, gear, shaft, bearing and joint capacity need applicable current source data and engineering review.

What changes after choosing a physical size?

The worksheet recalculates the outputs and geometry from the entered actual dimensions or discrete tooth/link count. Dependent checks are reevaluated; previously saved results are not restored as approvals.

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