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Bearing reactions and equivalent loads calculator

Engineering calculators (Beta)

Resolve one applied load on a two-support shaft into radial bearing reactions and product-coefficient equivalent loads.

Inputs

Choose units and enter numbers. Full-width digits and fractions such as 1/8 or 1 3/8 are accepted. Changing a unit converts the entered value.

Results

Reference calculation only. Results do not certify suitability for an actual design or its safety.

Diagram

Inputs: select a blue symbol to edit Results: red-orange values and lines

Formula and applicability

Ay=Fy(1−x/L); By=Fy x/L; Az=Fz(1−x/L); Bz=Fz x/L; Fr=√(Ry²+Rz²); FaA=qFa; FaB=(1−q)Fa; P=XFr+YFa.

Displayed values are rounded. Diagrams illustrate the calculation conditions. Initial material and fluid properties are examples; replace them with values for the actual material, temperature and conditions.

Reference
Using this information as a reference

Equations assume particular loads, supports and deformation ranges. Check inputs, units and the applicability of each equation. Diagrams explain conditions; they are not manufacturing drawings or proof of safety.

Material values are typical values or reference ranges, not certified product properties or ready-to-use design allowables. They vary with standards, product form, dimensions, temper and temperature. Check the specifications and inspection certificates for the actual product.

Displayed safety factors and checks apply only to the supplied inputs and calculation model. They do not automatically establish the safety of a complete design, including code compliance, service life, fatigue or joints. For actual design, manufacture and use, separately verify applicable regulations and standards, product specifications, and the necessary tests and engineering review.

この計算で求められること

2支持の軸に1か所で作用する荷重から、各軸受のラジアル反力と等価荷重を求めます。

入力・結果・適用条件を確認する

主な入力

  • 軸受AからBの中心間距離 L
  • 荷重点 x(A基準、張出しは範囲外も可)
  • 下向き荷重 Fy(負は上向き)
  • 紙面奥向き荷重 Fz(負は手前)
  • 軸方向荷重の大きさ Fa
  • 軸方向荷重をAが受け持つ割合 q
  • Aのラジアル係数 XA(製品条件で確認)
  • Aのアキシアル係数 YA(製品条件で確認)
  • Bのラジアル係数 XB(製品条件で確認)
  • Bのアキシアル係数 YB(製品条件で確認)

得られる結果

  • Aの上向き支持反力 Ay (N)
  • Bの上向き支持反力 By (N)
  • Aの手前向き支持反力 Az (N)
  • Bの手前向き支持反力 Bz (N)
  • Aのラジアル荷重 FrA (N)
  • Bのラジアル荷重 FrB (N)
  • Aのアキシアル荷重 FaA (N)
  • Bのアキシアル荷重 FaB (N)
  • Aの動等価荷重 PA(入力係数による) (N)
  • Bの動等価荷重 PB(入力係数による) (N)

Ay=Fy(1−x/L); By=Fy x/L; Az=Fz(1−x/L); Bz=Fz x/L; Fr=√(Ry²+Rz²); FaA=qFa; FaB=(1−q)Fa; P=XFr+YFa.

単純支持2点・1か所の集中荷重で、軸の自重は別途加えるモデルです。張出しでは一方の支持反力が反転します。軸方向の分担qは軸受配置・固定側と自由側に合わせて指定し、自動で等分しません。X・Yは軸受の種類、Fa/Fr、e、回転輪等の適用条件を製品資料で確認した値です。既定値1は操作例で、どの軸受にも使える係数ではありません。特に純アキシアル荷重や複列・組合せ軸受ではこの一般式をそのまま適用できない場合があります。寿命は得たPを既存の軸受寿命計算へ入力して別途確認します。

関連する計算

What this calculator does

Resolve one applied load on a two-support shaft into radial bearing reactions and product-coefficient equivalent loads.

Inputs, outputs and applicability

Inputs

  • Bearing-centre span L from A to B
  • Load position x from A, including overhang
  • Downward load Fy, negative upward
  • Into-page load Fz, negative toward viewer
  • Magnitude of axial load Fa
  • Fraction q of axial load carried by A
  • A radial factor XA, verify product regime
  • A axial factor YA, verify product regime
  • B radial factor XB, verify product regime
  • B axial factor YB, verify product regime

Results

  • A upward reaction Ay (N)
  • B upward reaction By (N)
  • A outward reaction Az (N)
  • B outward reaction Bz (N)
  • A radial load FrA (N)
  • B radial load FrB (N)
  • A axial load FaA (N)
  • B axial load FaB (N)
  • A dynamic equivalent load PA from entered factors (N)
  • B dynamic equivalent load PB from entered factors (N)

Ay=Fy(1−x/L); By=Fy x/L; Az=Fz(1−x/L); Bz=Fz x/L; Fr=√(Ry²+Rz²); FaA=qFa; FaB=(1−q)Fa; P=XFr+YFa.

Two simple supports and one concentrated load; add shaft self-weight separately. Overhung loading can reverse one reaction. Specify axial share q from the locating/floating arrangement, not an assumed equal split. X and Y must match bearing type, Fa/Fr, threshold e, rotating ring and the product-specific equation regime. Defaults of 1 are operating examples, not universal factors. Pure axial loading and paired/multi-row bearings may require other equations. Enter the resulting P into the separate bearing-life tool.

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目的から順に確認する設計ガイド

図で条件を整理してから計算し、最後に実際の部品仕様を確認します。

Purpose-based design guides

Understand conditions with diagrams, calculate, then verify actual specifications.