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
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
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
Case
T1 (N·m)
RPM1
Ft (N)
P1 (W)
Pinion cycles
Gear cycles
Lewis pinion (Pa)
Lewis gear (Pa)
Hertz (Pa)
1
100
1,500
3,333.333333
15,707.963268
90,000
30,000
123,456,790.123457
105,820,105.820106
751,221,056.734507
2
150
750
5,000
11,780.972451
22,500
7,500
185,185,185.185185
158,730,158.730159
920,054,136.516958
Criterion-specific verification
PASSED · DS10 actual selected geometry
Inputs are read directly from the current project and recalculated, not from stale saved results.
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.
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.