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ENGINEERING CALCULATORS

Thread friction, axial force & torque calculator

Engineering calculators (Beta)

Distinguish power screws from tightening screws and account for thread and bearing friction.

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

λ=atan(lead/(πdm)); μ′=μ/cosα; T/F=(dm/2)tan(λ+atanμ′)+μbDb/2

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

送りねじと締付けねじを区別し、ねじ面・座面の摩擦を考慮します。

入力・結果・適用条件を確認する

選択した形状・計算方法により、使う項目は変わります。実際の計算は上の図と入力欄で行えます。

主な入力

  • 計算する方向 (—)
  • 軸方向の力 F (N / kN / mN)
  • 入力トルク T (N·m / N·mm / mN·m)
  • ねじの有効径 dm (mm / cm / m)
  • リード(ピッチ×条数) (mm / cm / m)
  • ねじ山の半角 (° / rad)
  • ねじ面の摩擦係数 (—)
  • 座面の摩擦係数 (—)
  • 座面の等価摩擦直径 (mm / cm / m)

得られる結果

  • 計算する軸力 (N)
  • 正作動・締付け方向トルク (N·m)
  • 同じ力での降下トルク(負は逆駆動) (N·m)
  • リード角 (°)
  • 正作動の理論効率 (%)

計算式の概要

λ=atan(lead/(πdm)); μ′=μ/cosα; T/F=(dm/2)tan(λ+atanμ′)+μbDb/2

準静的なねじ面摩擦モデル。リードは多条ねじではピッチと異なります。ボールねじの転がり効率モデル、経験的トルク係数Kによる締付け軸力とは別です。座面の等価径と摩擦係数は実条件で指定。

現在選択中の方法には、操作欄の「計算式・適用条件」を使ってください。参考計算であり、設計全体の安全性を保証するものではありません。

関連する計算

What this calculator does

Distinguish power screws from tightening screws and account for thread and bearing friction.

Inputs, outputs and applicability

The selected model determines which of these inputs and outputs apply. Use the working diagram and input panel above to calculate.

Inputs

  • Calculation direction (—)
  • Axial force F (N / kN / mN)
  • Input torque T (N·m / N·mm / mN·m)
  • Thread pitch diameter dm (mm / cm / m)
  • Lead (pitch × starts) (mm / cm / m)
  • Thread half angle (° / rad)
  • Thread friction coefficient (—)
  • Bearing/collar friction coefficient (—)
  • Equivalent bearing friction diameter (mm / cm / m)

Calculated results

  • Calculated axial force (N)
  • Raising / tightening torque (N·m)
  • Lowering torque for same force (negative = backdriving) (N·m)
  • Lead angle (°)
  • Theoretical raising efficiency (%)

Formula overview

λ=atan(lead/(πdm)); μ′=μ/cosα; T/F=(dm/2)tan(λ+atanμ′)+μbDb/2

Quasi-static sliding thread friction. Lead differs from pitch on multistart screws. Separate from rolling-efficiency ball screws and empirical nut-factor preload. Specify actual effective bearing diameter and friction.

The displayed formula and conditions in the working panel apply to the currently selected model. Reference calculation only; it does not certify a complete design.

Related tools

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.