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Cylinder air consumption calculator

Engineering calculators (Beta)

Convert double-acting cylinder consumption to an explicit reference pressure and temperature.

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

Vs = π(2D²−d²)L/4; Vref = Vs(pg+pamb)/pref × Tref/T; Qref = Vref 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

複動シリンダーの往復で消費する空気を、指定した基準状態へ換算します。

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

  • シリンダー内径 D (mm / cm / m)
  • ロッド径 d (mm / cm / m)
  • ストローク L (mm / cm / m)
  • 給気ゲージ圧 pg (MPa / kPa / bar)
  • 周囲の絶対圧 pamb (MPa / kPa / bar)
  • 往復回数 c(1往復=1cycle) (cycles/min / cycles/s)
  • シリンダー内の空気温度 T (°C / K / °F)
  • 換算先の絶対圧 pref (MPa / kPa / bar)
  • 換算先の温度 Tref (°C / K / °F)

得られる結果

  • 両側の合計行程容積 (L)
  • 給気の絶対圧 (kPa)
  • 基準状態での空気量 / 往復 (L/cycle)
  • 基準状態での空気消費流量 (L/min)

計算式の概要

Vs = π(2D²−d²)L/4; Vref = Vs(pg+pamb)/pref × Tref/T; Qref = Vref c

乾燥した理想気体として、両室を毎往復で給気圧まで充填します。温度は内部でKに換算します。配管・デッドボリューム・漏れ・クッション・湿度は含みません。ANRなどの規格流量を保証する表示ではありません。バルブの瞬時流量選定とは異なります。

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

Convert double-acting cylinder consumption to an explicit reference pressure and temperature.

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

  • Cylinder bore D (mm / cm / m)
  • Rod diameter d (mm / cm / m)
  • Stroke L (mm / cm / m)
  • Supply gauge pressure pg (MPa / kPa / bar)
  • Ambient absolute pressure (MPa / kPa / bar)
  • Cycle rate c (one extension + return) (cycles/min / cycles/s)
  • Cylinder air temperature T (°C / K / °F)
  • Reference absolute pressure pref (MPa / kPa / bar)
  • Reference temperature Tref (°C / K / °F)

Calculated results

  • Combined swept volume (L)
  • Absolute supply pressure (kPa)
  • Reference volume per cycle (L/cycle)
  • Reference consumption rate (L/min)

Formula overview

Vs = π(2D²−d²)L/4; Vref = Vs(pg+pamb)/pref × Tref/T; Qref = Vref c

Ideal dry gas with both chambers filled to supply pressure once per cycle. Temperatures are converted to kelvin. Piping, dead volume, leakage, cushioning and humidity are excluded. This is an explicit reference state, not a certified ANR flow or a valve peak-flow selection.

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.