Calculate basic fatigue life from an explicitly entered equivalent load, or from documented per-case radial/axial coefficients. Variable load and speed are weighted by actual revolutions. Arrangement, static capacity, speed and manufacturer-model qualification remain separate checks.
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
N
N
rpm
mm
mm
Operating conditions
02 / CALCULATE → SELECT → RECALCULATE
Calculation & checks
Revolution-weighted equivalent dynamic load
2,987.60316 N
Mean speed including standstill
1,125 rpm
Duty-cycle revolutions
135,000
Maximum applicable static load
4,000 N
Required C for entered basic life
26,207.41394 N
Original schematic; not a manufacturing drawing. locating-floating · Entered load spectrum · C / C0 from applicable source. Actual dimensions and model checks are listed in the calculation record.
Intermediate values and comparisons - SI units
Condition
Dynamic P (N)
Static P0 (N)
RPM
Duration (s)
Revolutions
1
2,000
2,000
1,500
3,600
90,000
2
4,000
4,000
750
3,600
45,000
Criterion-specific verification
UNKNOWN · Entered basic L10-life criterion
C and applicable equivalent loads must be documented. Zero revolution/load cases do not establish infinite real bearing life.
UNKNOWN · Entered static load factor criterion
Basic static load is checked independently of rotating fatigue; static coefficient applicability remains a user-source requirement.
Entered P/P0 must already include the actual applicable radial/axial load model.
BLOCKED · Arrangement / preload / axial distribution
Locating/floating or opposed pair is recorded, but axial reaction centers, preload and bearing compliance need a qualified arrangement model.
BLOCKED · Actual bearing-model selection / modified life
No verified model catalog or complete lubrication/contamination/reliability dataset. No component is automatically recommended.
Method and calculation trace
p = 3 for balls or 10/3 for rollers; L10 = (C/P)^p million revolutions.
For a repeating spectrum, N_i = n_i t_i/60; P_eq = (ΣP_i^p N_i / ΣN_i)^(1/p). Standstill does not add rotating fatigue damage.
Life in repeating-duty hours includes entered standstill duration. Required C is solved by summing basic revolution damage for the specified life, not by averaging loads/time directly.
Static P0, speed and nominal bore compatibility are independent criteria. No life or load result implies an approved bearing arrangement.
Assumptions & scope
Basic L10 is statistical 90% reliability fatigue life, not actual service life. Lubrication, contamination, minimum load, temperature, fits, seals, preload and misalignment are not established by L10.
Per-case X/Y/X0/Y0 and their switching conditions must come from the exact bearing type/model. The worksheet does not manufacture e-thresholds, axial reaction distribution or pair preload.
No bearing catalog is embedded. Required C is a mathematical criterion, not a model recommendation. Basic radial static P0 = max(Fr, X0Fr+Y0Fa) only applies when that model and coefficients are appropriate.
Worked example
Two equal-duration cases at 2000 N / 1500 RPM and 4000 N / 750 RPM give a revolution-weighted ball-bearing equivalent load of 2987.603 N. An illustrative documented C = 20 kN would produce 4444.44 basic L10 hours over the repeating spectrum; standstill time contributes no fatigue revolutions.
Calculation methods and sources
L10 = (C/P)^p million revolutions; Peq = (sum Pi^p Ni / sum Ni)^(1/p)
Basic 90% reliability fatigue model; p = 3 ball, 10/3 roller. Variable conditions are weighted by revolutions, not arithmetic load averages. No modified life or actual service-life warranty.
P = X Fr + Y Fa; P0 = max(Fr, X0 Fr + Y0 Fa) for the applicable radial-bearing model
Only explicitly supplied applicable coefficients; exact model and switching thresholds must be reviewed independently. No axial arrangement/preload inferred.
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.