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Pneumatic cylinder thrust calculator

Engineering calculators (Beta)

Find extension and retraction thrust from bore, rod, pressure, back pressure and loss.

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

A₁ = πD²/4, A₂ = π(D²−d²)/4, Fext = pA₁−pbA₂−Floss, Fret = pA₂−pbA₁−Floss

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

内径・ロッド径・圧力・背圧・損失から、押す力と引く力を求めます。

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)
  • 給気側ゲージ圧力 p (MPa / kPa / bar)
  • 排気側の背圧 pb(ゲージ圧) (MPa / kPa / bar)
  • 摩擦などの損失力 Floss (N / kN / mN)
  • 比較する必要推力 Freq (N / kN / mN)

得られる結果

  • 押す方向の推力(背圧・損失込み) (N)
  • 引く方向の推力(背圧・損失込み) (N)
  • 押す推力 − 必要推力 (N)
  • 引く推力 − 必要推力 (N)
  • 背圧・損失なしの理論押し推力 (N)
  • 背圧・損失なしの理論引き推力 (N)
  • ヘッド側受圧面積 A₁ (mm²)
  • ロッド側受圧面積 A₂ (mm²)

計算式の概要

A₁ = πD²/4, A₂ = π(D²−d²)/4, Fext = pA₁−pbA₂−Floss, Fret = pA₂−pbA₁−Floss

片ロッド・複動の準静的モデルです。押し・引きそれぞれで給気側をp、排気側をpbとします。両圧力は同じ大気圧を基準とするゲージ圧です。損失力は正の大きさを指定します。推力差が正でも、メーカーの負荷率・速度・クッション・座屈・横荷重・圧力変動・保持安全の選定を満たすとは限りません。空気流量と動作時間は計算しません。

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

Find extension and retraction thrust from bore, rod, pressure, back pressure and loss.

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)
  • Supply-side gauge pressure p (MPa / kPa / bar)
  • Exhaust-side back pressure pb (gauge) (MPa / kPa / bar)
  • Friction and other loss force Floss (N / kN / mN)
  • Required thrust for comparison Freq (N / kN / mN)

Calculated results

  • Extension thrust after back pressure and loss (N)
  • Retraction thrust after back pressure and loss (N)
  • Extension thrust minus requirement (N)
  • Retraction thrust minus requirement (N)
  • Ideal extension thrust without back pressure or loss (N)
  • Ideal retraction thrust without back pressure or loss (N)
  • Cap-end piston area A₁ (mm²)
  • Rod-side annular area A₂ (mm²)

Formula overview

A₁ = πD²/4, A₂ = π(D²−d²)/4, Fext = pA₁−pbA₂−Floss, Fret = pA₂−pbA₁−Floss

Quasi-static double-acting single-rod cylinder. For each direction p is the supplied chamber and pb the exhausting chamber. Both are gauge pressures relative to the same ambient pressure. Loss is a positive resisting-force magnitude. A positive thrust difference does not establish manufacturer load ratio, speed, cushion, buckling, side-load, pressure-transient or holding suitability. Air flow and stroke time are not calculated.

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.

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.

圧力から押す力へ
  1. 1. 単位をそろえる圧力の単位換算 →
  2. 2. 必要な条件で計算するシリンダーの推力現在のページ
  3. 3. 動き・違いを図で見る圧力と接触面積 →

シリンダー内径・ロッド径・背圧・損失も指定します。圧力だけでは推力は決まりません。

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。

See the motion in an animation

Compare cylinder size and speed in an animation →

Calculation inputs are not transferred automatically. Enter the required dimensions and speed in the animation.

See the motion in an animation

Compare a cylinder-driven pivot clamp in an animation →

Calculation inputs are not transferred automatically. Enter the required dimensions and speed in the animation.