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Match the diagram conditions, then follow the example inputs and results. Change numerical values in the calculator.
1. Match the diagram to your question 1. Model & supports 2. Where inputs go 3. Read the answer
必要な力から、シリンダーの内径を見積もる 筒の内側を見せた断面図 必要な力から、計算上のシリンダー内径を探す向きの計算です。
必要な力から、シリンダーの内径を見積もる d p pb F 筒の内側を見せた断面図 必要推力F、圧力、背圧、ロッド径d、損失を用意します。外側のケース径は使いません。
必要な押し推力 500 N
給気ゲージ圧 0.5 MPa
排気背圧（ゲージ圧） 0.05 MPa
摩擦などの損失力 30 N
ロッド径 d 16 mm
目標押し速度 v 0.1 m/s
周囲絶対圧 0.101325 MPa 必要な力から、シリンダーの内径を見積もる D d p pb F 筒の内側を見せた断面図 橙のDが計算上の内径です。採用候補の実寸で、押し・引きの力をもう一度確かめます。
D · 計算上必要な内径 38.3556 mm
給気側圧力での体積流量 6.93263 L/min
周囲圧換算の所要流量（同温） 41.1425 L/min Estimate cylinder bore from required force Cutaway: inside the cylinder This calculation starts with required force and estimates a cylinder bore.
Estimate cylinder bore from required force d p pb F Cutaway: inside the cylinder Prepare required thrust F, pressure, back pressure, rod diameter d and loss. Outside case diameter is not the bore.
Required extension thrust 500 N
Supply gauge pressure 0.5 MPa
Exhaust back pressure (gauge) 0.05 MPa
Friction and other force loss 30 N
Rod diameter d 16 mm
Target extension speed v 0.1 m/s
Ambient absolute pressure 0.101325 MPa Estimate cylinder bore from required force D d p pb F Cutaway: inside the cylinder Orange D is calculated bore. Recheck extension and retraction using the actual candidate dimensions.
D · Calculated required bore 38.3556 mm
Volume flow at supply pressure 6.93263 L/min
Required flow at ambient pressure, same temperature 41.1425 L/min Blue marks inputs; orange marks outputs. These diagrams explain the fixed example below; dimensions and deformation are not drawn to physical scale. 2. Example inputs Required extension thrust What goes here? Magnitude of a push or pull, in force units such as N, rather than mass in kg.
500 N Supply gauge pressure What goes here? Force per area. Gauge pressure is relative to ambient; absolute pressure is relative to vacuum.
0.5 MPa Exhaust back pressure (gauge) What goes here? Force per area. Gauge pressure is relative to ambient; absolute pressure is relative to vacuum.
0.05 MPa Friction and other force loss What goes here? Magnitude of a push or pull, in force units such as N, rather than mass in kg.
30 N Rod diameter d What goes here? Use the dimension marked in the diagram. Distinguish radius from diameter, bore from outside diameter, and overall length from support span.
16 mm Target extension speed v What goes here? Distance travelled per time. Check whether the field asks for initial, final or constant speed.
0.1 m/s Ambient absolute pressure What goes here? Force per area. Gauge pressure is relative to ambient; absolute pressure is relative to vacuum.
0.101325 MPa
These are fixed teaching inputs. Coefficients, properties and comparison limits are not recommendations. Enter your conditions in the calculator.
3. Results for this example Calculated required bore 38.3556 mm Volume flow at supply pressure 6.93263 L/min Required flow at ambient pressure, same temperature 41.1425 L/min The first result is a calculated bore, not a standard product size or selected model. Read it together with pressure, back pressure, loss and speed.
4. Which formula is used? A=[F+Floss−pb·Arod]/(p−pb); D=√(4A/π); Q=A v; Qref=Q(p+pamb)/pamb
Table units are not always the units required in the formula. The calculator converts selected units to its internal base units before computing.
Assumptions and exclusions Extension only. Require p > pb ≥ 0 and calculated bore > rod diameter. Valve/piping flow characteristics and pressure transients are excluded. Required flow differs from average air consumption.
“Try these example inputs” loads the fixed example. “Enter your own conditions” opens the calculator normally.
