Zana ya Uhandisi ya Bure #047
Kikokotoo cha Mzigo wa Chini Zaidi wa Beari
Kokotoa mzigo wa chini wa radiali unaohitajika ili kuzuia kutelezesha kwa roller/mpira. Ingiza vipimo vya bearing, kasi, na aina ya mafuta.
Results
Fomula ya Mzigo wa Chini (Iliyorahisishwa)
Mzigo wa chini wa radial unaohitajika kuzuia kuteleza unakadiriwa kama:
- kr — minimum load factor from the manufacturer’s product table (typically ≈ 0.025 for deep groove ball bearings; higher equivalent values for roller bearings — see table below)
- ν — mnato wa kinematiki kwa joto la uendeshaji (mm²/s)
- n — kasi ya mzunguko (RPM)
- dm — mean bearing diameter = (d + D) / 2 (mm)
- For grease lubrication this calculator additionally multiplies the result by a conservative factor of 1.5, since grease-lubricated bearings need a higher minimum load
Mean Diameter
Maadili ya Kawaida ya kr
| Bearing Type | kr |
|---|---|
| Kizingiti cha mpira chenye mfereji wa kina | ≈ 0.025 |
| Kizingiti cha mpira wa mawasiliano ya pembe | ≈ 0.03 |
| Kizingiti cha roller ya silinda | ≈ 0.25 |
| Kizingiti cha roller iliyopigwa kando | ≈ 0.25 |
| Kizingiti cha roller ya duara | ≈ 0.3 |
Ball-bearing kr values are typical of manufacturer product tables (e.g. SKF lists kr per bearing, roughly 0.02–0.06 for deep groove ball bearings). For roller bearings manufacturers use dedicated minimum-load relations (e.g. Frm ≈ 0.02 × C0 or speed-based formulas); the roller factors above are approximate equivalents so that this simplified formula reproduces the same order of magnitude. Always check the exact value in the bearing product table.
Mfano wa Vitendo
Given: d = 40 mm, D = 80 mm, n = 3000 RPM, ν = 20 mm²/s, kr = 0.025, oil lubrication
dm = (40 + 80) / 2 = 60 mm
Fmin = 0.025 × (20 × 3000 / 1000)2/3 × (60 / 100)²
= 0.025 × 15.33 × 0.36 = 0.14 kN (≈ 140 N)
Cross-check with the simple rule Fmin ≈ 0.01 × C0: for a 6208 bearing (C0 ≈ 17.8 kN) it gives ≈ 0.18 kN — the same order of magnitude.
⚠️ Note: Hii ni makadirio yaliyorahisishwa. Kwa matumizi muhimu, wasiliana na mwongozo maalum wa mzigo wa chini kutoka kwa mtengenezaji wa kizingiti. Mzigo wa chini halisi unategemea upenyo wa ndani, aina ya kisanduku, na sifa za kiboreshaji.
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