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Bolted-joint separation, slip and clamp force calculator

Engineering calculators (Beta)

For one bolt load share, compare residual clamp force, friction holding force and bolt tensile stress under external loading.

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

Pd=kP; Vd=kV; Fc=max[0,F₀min−(1−C)Pd]; Fslip=μFc; Pd,sep=F₀min/(1−C); Fb=max[Pd,F₀max+CPd]; σ=Fb/At.

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

1本分の接合部について、外力後に残る締付け力と摩擦保持力、ボルトの引張応力を比較します。

入力・結果・適用条件を確認する

主な入力

  • 使用状態での最小初期軸力 F₀min
  • 使用状態での最大初期軸力 F₀max
  • ボルトが受け持つ外力の割合 C
  • 1本分の引き離す外力 P
  • 1本分の横方向外力 V
  • 接合面の静摩擦係数 μ
  • 外力に掛ける比較倍率 k
  • ねじ部の引張応力断面積 At
  • 比較用の許容引張応力 σa

得られる結果

  • 外力後に残る最小締付け力 Fc (N)
  • 1接合面の摩擦保持力上限 μFc (N)
  • 最大初期軸力側のボルト引張力 Fb (N)
  • ボルトの平均引張応力 σ (MPa)
  • 最小軸力側の離間に達する外力 Pd,sep (N)
  • 倍率を掛けた引き離し力 Pd (N)
  • 倍率を掛けた横荷重 Vd (N)
  • 離間に対する比較余裕 Pd,sep/Pd (—)
  • 滑りに対する比較余裕 μFc/Vd (—)
  • 引張許容値との比較余裕 σa/σ (—)

Pd=kP; Vd=kV; Fc=max[0,F₀min−(1−C)Pd]; Fslip=μFc; Pd,sep=F₀min/(1−C); Fb=max[Pd,F₀max+CPd]; σ=Fb/At.

同心で軸方向に引く1本分の接合部、1つの摩擦接合面、線形ばねの簡略モデルです。Cは荷重導入位置とボルト・被締結体の剛性を含む実効的な分担率として別途確認します。0.2をどの接合部にも適用する値にはしません。初期軸力は締付けばらつき、なじみ、温度、緩みを考慮した使用状態の範囲を指定します。離間後は圧縮力0とし摩擦保持を見込みません。最大軸力側の引張力は離間後の全外力負担へ連続して切り替えます。滑り後のボルトせん断・穴面圧、偏心・こじり、疲労、ねじ山抜け、座面圧、締付け時のねじりは別計算です。

関連する計算

What this calculator does

For one bolt load share, compare residual clamp force, friction holding force and bolt tensile stress under external loading.

Inputs, outputs and applicability

Inputs

  • Minimum initial preload F₀min in service
  • Maximum initial preload F₀max in service
  • Fraction C of external tensile load added to bolt
  • Separating external force P per bolt share
  • Transverse external force V per bolt share
  • Static friction coefficient μ at the interface
  • Comparison multiplier k on external loads
  • Thread tensile-stress area At
  • Allowable tensile stress σa for comparison

Results

  • Minimum residual clamp force Fc (N)
  • Friction holding limit μFc at one interface (N)
  • Bolt tensile force Fb at maximum initial preload (N)
  • Average bolt tensile stress σ (MPa)
  • Factored load Pd,sep reaching separation at minimum preload (N)
  • Factored separating force Pd (N)
  • Factored transverse force Vd (N)
  • Separation comparison margin Pd,sep/Pd (—)
  • Slip comparison margin μFc/Vd (—)
  • Tensile allowable comparison margin σa/σ (—)

Pd=kP; Vd=kV; Fc=max[0,F₀min−(1−C)Pd]; Fslip=μFc; Pd,sep=F₀min/(1−C); Fb=max[Pd,F₀max+CPd]; σ=Fb/At.

Simplified concentric linear-spring model for one bolt tributary share and one friction interface. Independently establish effective load fraction C including load introduction and bolt/member stiffness; 0.2 is not universal. Enter service preload bounds including tightening scatter, embedment, temperature and relaxation. After separation, compression and credited friction are zero. Maximum-preload tensile force transitions continuously to carrying the full external force after separation. Post-slip bolt shear/hole bearing, eccentricity/prying, fatigue, thread stripping, bearing pressure and tightening torsion are separate.

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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.