How is the idealized press-fit force calculated?

For the stated same-material solid-shaft/thick-ring elastic model, interface pressure is obtained from Lamé compliance and sliding force is F = p × π × d × L × μ. The fitted-ring outer diameter must describe that ring itself, not the overall outside diameter of an assembled rolling bearing.

What friction coefficient should I use?

Use a coefficient validated for the actual material pair, surface finish, lubricant, speed and contact pressure. The calculated force is directly proportional to μ, so a generic oiled or dry label is not sufficient for press sizing.

What does the thermal result mean?

The tool reports only the theoretical temperature rise δ/(αd) that expands the bore by the stated diametral interference. It contains no assembly clearance or thermal-loss allowance. Follow the component or bearing manufacturer’s mounting method and temperature limits.

Can this estimate size a press by itself?

No. The model assumes uniform elastic contact and constant sliding friction and omits entry geometry, static breakaway, misalignment, roughness, plasticity and edge effects. Press selection requires an engineering allowance supported by the actual process and equipment documentation.

Can pressing damage the bearing?

Yes, if force is applied through the wrong ring. When pressing onto a shaft, apply force ONLY to the inner ring. When pressing into a housing, apply force ONLY to the outer ring. Never transmit force through rolling elements.

免費工程工具 #058

軸承壓配合力計算器

估算理想化同材質實心軸與厚壁配合套圈之間的軸向滑動力。此為拉梅模型估算值，非軸承製造商之裝配力數據。

拉梅方程式裝配力冷壓裝配

公稱內徑 d (mm)

徑向過盈量 δ (mm，例如 0.018)

接觸長度 (mm，軸承寬度)

配合環外徑 D_r （mm，環材邊界；非軸承外徑）

滑動摩擦係數 μ （針對實際介面驗證）

楊氏模數 E （GPa；軸與環材質相同）

熱膨脹係數 α （μm/(m·K)，例如 11.7）

快速預設

模型邊界： 僅適用於實心軸與同質各向同性厚壁同心環之間均勻彈性過盈配合，且基於簡化之無端蓋 Lamé 模型。實際滾動軸承套圈、空心軸、異質材料、短接觸長度及非均勻幾何形狀，需由製造商計算或進行有限元素分析 (FEA)。

結果

壓入配合力

—

接觸面壓力 p

—

等效噸力

—

理論最低溫升

—

接觸面壓力（拉梅）

壓入配合力

μ — 針對實際介面驗證之滑動摩擦係數
δ — 徑向過盈量（軸外徑 − 環內徑）
d — 名義介面直徑
D_r — 配合厚環之實際外材邊界，非整體軸承外徑
E — 此特例方程式中軸與環共用之楊氏模數

熱裝替代方案

ℹ️ 熱計算結果僅為 ΔT_min = δ/(αd)，即內徑恰好膨脹至過盈量之均勻溫升。此值未提供組裝間隙，且忽略傳導至軸之熱損失。請加入工程間隙餘量，並遵循元件製造商允許之加熱方法與溫度上限。

實務範例

演算範例 — 理想化環幾何，δ = 0.018 mm

k = 50/80 = 0.625

p = 210000 × 0.018 / (2 × 50) × (1 − 0.625²) = 23.03 MPa

F = 23.03 × π × 50 × 18 × 0.10 / 1000 = 6.51 kN (0.66 tf)

⚠️ 關鍵注意事項： 將軸承壓裝至軸上時，力僅能施加於內圈。切勿透過滾動體傳力，否則會造成壓痕損傷。

軸承壓入配合力計算器 | 拉梅方程式 | 免費線上工具

結果

接觸面壓力（拉梅）

壓入配合力

熱裝替代方案

實務範例

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