Free Engineering Tool #035

Bearing Defect Frequency Calculator

Calculate BPFO, BPFI, BSF, and FTF from bearing geometry and shaft speed. Includes 2× and 3× harmonics for vibration diagnostics.

BPFO BPFI BSF FTF
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Results

BPFO — Outer Race Defect Frequency
BPFI — Inner Race Defect Frequency
BSF — Ball Spin Frequency
FTF — Cage (Train) Frequency
Shaft Frequency

Harmonics Table

Frequency 1× (Hz) 1× (Order) 2× (Hz) 2× (Order) 3× (Hz) 3× (Order)

Bearing Defect Frequencies

When a rolling element bearing develops a localized defect, the repetitive impact generates characteristic frequencies that depend on the bearing geometry and shaft speed. The four fundamental defect frequencies are:

Fundamental Train Frequency (FTF)

The cage rotational frequency. An elevated FTF indicates cage wear or damage.

Ball Pass Frequency — Outer Race (BPFO)

The rate at which rolling elements pass a point on the outer race. This is the most common defect frequency as outer race faults are statistically most frequent.

Ball Pass Frequency — Inner Race (BPFI)

The rate at which rolling elements pass a point on the inner race. Inner race faults typically show sidebands at shaft speed around BPFI.

Ball Spin Frequency (BSF)

The rotational frequency of a rolling element about its own axis. Rolling element defects often appear at 2× BSF because the defect contacts both races per revolution.

Note: These formulas assume no slip — actual frequencies may differ by 1–3% due to slip and elastohydrodynamic effects. In practice, use these as approximate markers when searching the vibration spectrum.

Practical Example

Example — Bearing 6205, 1500 RPM

Given: Z = 9, Bd = 7.94 mm, Pd = 38.5 mm, α = 0°, RPM = 1500

Shaft freq = 1500/60 = 25 Hz

Bd/Pd = 0.2062, cos(0°) = 1

FTF = 25/2 × (1 − 0.2062) = 9.92 Hz

BPFO = 9/2 × 25 × (1 − 0.2062) = 89.31 Hz

BPFI = 9/2 × 25 × (1 + 0.2062) = 135.69 Hz

BSF = (38.5/(2×7.94)) × 25 × (1 − 0.2062²) = 58.55 Hz

⚠️ Note: Contact angle α is 0° for deep groove ball bearings. For angular contact bearings it is typically 15–40°, and for tapered roller bearings 10–30°. Using the wrong contact angle will give incorrect frequencies.

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Bearing defect frequency formulas per standard kinematic equations. Last updated: February 2026

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