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ENGINEERING CALCULATORS

Two-hole and slot assembly tolerance calculator

Engineering calculators (Beta)

Compare two-part pitch mismatch with available bolt clearance under optimal translation along the row.

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

ΔP=|PA−PB|+tA+tB; c=(DA−d)/2+(DB−d)/2+(LB−DB)/2 [slot only]; assemble if ΔP/2≤c.

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枚の部品の穴ピッチ差とボルトのすきまから、平行移動で組み付けられる範囲を比較します。

入力・結果・適用条件を確認する

主な入力

  • 部品Bの穴形状
  • 部品Aの穴中心ピッチ PA
  • PAの±公差 tA
  • 部品Bの穴中心ピッチ PB
  • PBの±公差 tB
  • 部品Aの丸穴最小径 DA
  • 部品Bの最小穴径・長穴幅 DB
  • 部品Bの長穴全長 LB(半円端を含む)
  • ボルトの最大通過径 d

得られる結果

  • 最悪の穴ピッチ差 ΔP (mm)
  • 各穴対の必要中心ずれ ΔP/2 (mm)
  • 各穴対で許容できる中心ずれ c (mm)
  • 最悪条件の組付け余裕 c−ΔP/2 (mm)
  • Bを長穴にする場合の必要全長 (mm)
  • 両部品が同じ丸穴径の場合の必要径 (mm)

ΔP=|PA−PB|+tA+tB; c=(DA−d)/2+(DB−d)/2+(LB−DB)/2 [slot only]; assemble if ΔP/2≤c.

同じ直線上の2穴だけを持つ2部品で、2本のボルトが両部品の穴の中で自由に動ける1次元モデルです。部品全体をピッチ方向に平行移動して差を2穴へ等分します。片側がタップ穴・固定ピン・位置決め済みの条件には使えません。穴径は最小、ボルト径は最大、長穴はピッチ方向の最小全長を入れます。ゼロ余裕は接触限界で、実用的な組付け余裕を意味しません。直角方向の位置ずれ、3穴以上、回転、同軸度・姿勢・位置度などの幾何公差を一括評価しません。

関連する計算

What this calculator does

Compare two-part pitch mismatch with available bolt clearance under optimal translation along the row.

Inputs, outputs and applicability

Inputs

  • Part B hole shape
  • Part A hole-centre pitch PA
  • Symmetric pitch tolerance ±tA
  • Part B hole-centre pitch PB
  • Symmetric pitch tolerance ±tB
  • Part A minimum circular-hole diameter DA
  • Part B minimum diameter or slot width DB
  • Part B minimum overall slot length LB
  • Maximum passing bolt diameter d

Results

  • Worst-case pitch mismatch ΔP (mm)
  • Required centre offset per hole pair ΔP/2 (mm)
  • Available centre offset per hole pair c (mm)
  • Worst-case assembly clearance c−ΔP/2 (mm)
  • Minimum B slot length for entered widths (mm)
  • Minimum diameter if both parts use equal round holes (mm)

ΔP=|PA−PB|+tA+tB; c=(DA−d)/2+(DB−d)/2+(LB−DB)/2 [slot only]; assemble if ΔP/2≤c.

One-dimensional model of two collinear holes per part with both bolts free to float in holes in both parts. Optimal translation along the row splits pitch mismatch equally between the pairs. Not applicable to tapped holes, fixed dowels or an already located part. Use minimum hole diameters/slot overall length and maximum bolt diameter. Zero clearance is a contact boundary, not practical assembly margin. Transverse errors, three or more holes, rotation and full geometric-tolerance analysis are excluded.

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.

数値の感覚を、図と動きで確かめる

説明用の別モデルです。適用条件を確認してください。数値は自動転記しません。

See the idea in diagrams and motion

A separate explanatory model. Check its assumptions; values are not transferred.