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ENGINEERING CALCULATORS

Arc, taper & hole coordinates calculator

Engineering calculators (Beta)

Calculate arc geometry, taper angle and equally spaced hole coordinates.

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

arc=Rθ; chord=2R sin(θ/2); h=R[1−cos(θ/2)]; taper half-angle=atan((D−d)/(2L)); holes=(Rcosθi,Rsinθi)

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.

Calculations do not submit input values to a server. Results are not an automatic code-compliance or safety determination.

この計算で求められること

円弧の寸法、テーパー角、等配穴の座標を計算します。

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

  • 計算の種類 (—)
  • 半径・PCD半径 R (mm / cm / m)
  • 中心角／最初の穴の角度 (° / rad)
  • 大径 D (mm / cm / m)
  • 小径 d (mm / cm / m)
  • テーパー長 L (mm / cm / m)
  • 等配穴数 n (—)

得られる結果

  • 円弧長 (mm)
  • 弦・隣接穴の中心距離 (mm)
  • 円弧の矢高 (mm)
  • テーパー半角 (°)
  • テーパー全角 (°)

計算式の概要

arc=Rθ; chord=2R sin(θ/2); h=R[1−cos(θ/2)]; taper half-angle=atan((D−d)/(2L)); holes=(Rcosθi,Rsinθi)

円弧は0<中心角≤180°、テーパーはD≥d。穴座標は中心原点・右向きx・上向きy・反時計回り。開始角を指定できます。図は64穴まで、座標は360穴まで表示します。

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

Calculate arc geometry, taper angle and equally spaced hole coordinates.

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 type (—)
  • Radius / PCD radius R (mm / cm / m)
  • Arc / first-hole angle (° / rad)
  • Large diameter D (mm / cm / m)
  • Small diameter d (mm / cm / m)
  • Taper length L (mm / cm / m)
  • Equally spaced holes n (—)

Calculated results

  • Arc length (mm)
  • Chord / adjacent-hole distance (mm)
  • Arc sagitta (mm)
  • Taper half angle (°)
  • Taper included angle (°)

Formula overview

arc=Rθ; chord=2R sin(θ/2); h=R[1−cos(θ/2)]; taper half-angle=atan((D−d)/(2L)); holes=(Rcosθi,Rsinθi)

Arc angle is 0 < θ ≤ 180°; taper requires D ≥ d. Hole coordinates use a central origin, x right, y up and counterclockwise angles. Start angle is configurable. The diagram shows up to 64 holes; coordinates support up to 360.

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

入力する単位を確認・換算する

Check and convert input units

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.

寸法から面積・体積へ
  1. 1. 単位をそろえる長さの単位換算 →
  2. 2. 必要な条件で計算する形状の面積・体積現在のページ
  3. 3. 動き・違いを図で見る大きさと距離 →

形状と必要な各辺の長さを指定します。長さの換算だけでは面積・体積は求められません。

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。