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Bolt tightening torque & preload calculator

Engineering calculators (Beta)

Estimate tightening preload and nominal tensile stress using a nut factor.

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

T ≈ KFd, F ≈ T/(Kd), σnom = F/As

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

トルク係数法でボルトの締付け軸力と公称引張応力を概算します。

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

  • 締付けトルク T (N·m / N·mm / mN·m)
  • トルク係数 K(入力例) (—)
  • ねじの呼び径 d (mm / cm / m)
  • ねじ部の引張応力面積 As(別途指定) (mm² / cm² / m²)

得られる結果

  • 推定締付け軸力 F (N)
  • 軸力/応力面積の公称引張応力 (MPa)
  • 軸力の換算(kgf。質量kgではありません) (kgf)

計算式の概要

T ≈ KFd, F ≈ T/(Kd), σnom = F/As

トルク係数Kによる概算です。Kは材質・表面処理・潤滑・座面・再使用で変わり、入力例を規定値として使わないでください。Asは実際のねじ規格・ピッチの引張応力面積を指定します。公称応力は締付け時のねじりとの合成応力ではありません。軸力のばらつき、外力分担、緩み、座面圧、疲労、ねじ山の破壊、耐力・許容トルクは判定しません。

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

Estimate tightening preload and nominal tensile stress using a nut factor.

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

  • Tightening torque T (N·m / N·mm / mN·m)
  • Nut factor K (example) (—)
  • Nominal thread diameter d (mm / cm / m)
  • Thread tensile stress area As (specified separately) (mm² / cm² / m²)

Calculated results

  • Estimated tightening preload F (N)
  • Nominal tensile stress F/As (MPa)
  • Force equivalent (kgf, not mass kg) (kgf)

Formula overview

T ≈ KFd, F ≈ T/(Kd), σnom = F/As

Nut-factor estimate. K depends on material, finish, lubrication, bearing surface and reuse; the example is not a prescribed value. Specify tensile stress area for the actual thread standard and pitch. Nominal stress does not include tightening torsion. Preload scatter, external-load sharing, loosening, bearing pressure, fatigue, thread stripping, proof strength and allowable torque are not assessed.

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

Continue checking

Bolted-joint separation, slip and clamp force calculator

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.

締付トルクから軸力へ
  1. 1. 単位をそろえるトルクの単位換算 →
  2. 2. 必要な条件で計算するボルト締付トルクと軸力現在のページ
  3. 3. 動き・違いを図で見るトルクと腕の長さ →

ねじ径とトルク係数も指定します。係数は摩擦・潤滑などの条件で変わります。

各ツールは別の条件で開きます。数値は自動転記されません。