Pneumatic Calculator (Cylinder Force, Compressor & Pipe Sizing)
Free pneumatic calculators for cylinder force, compressor CFM/HP, and pipe sizing—workflows from bore selection to plant air distribution for automation teams.
Start with the actuator: size the pneumatic cylinder for your required force, then calculate total air demand to size the compressor, and finally size the distribution piping for acceptable velocity and pressure drop. This hub is the primary entry for the Pneumatics cluster—follow the workflow from cylinder → compressor → pipe.
Core Tools
Size cylinders, compressors, and piping—follow the workflow or jump to any tool.
Home & Garage tool screening
For single-compressor shops and garage tools, open the Air Compressor Sizing calculator in Garage mode: check tools at CFM@90PSI, apply simultaneous use and duty/growth allowances, then read a suggested tank class. Prefer published CFM@90PSI over peak HP on retail labels. Plant leakage, piping, and multi-cylinder demand stay on the industrial tools below.
Open Garage mode →
Industrial FAD screen →
Advanced & Specialized Calculators
Valve sizing, leak analysis, flow metering, and multi-cylinder circuit design.
Quick Calculators
Fast, focused calculations for common pneumatic tasks.
Air Treatment
Dry and quality-check compressed air after the compressor and before long distribution runs. Size dryer rated SCFM from FAD and target pressure dew point.
Pneumatic Guides
In-depth guides for pneumatic system design and optimization.
Pneumatic Use Cases & Deployment Scenarios
Scenario SERPs for factory automation and OEM component shopping are not product pages here. Use these short cards to enter the calculator workflow—then size cylinders, compressors, valves, and piping with the tools below.
- Automotive & welding lines: clamp force, high-cycle cylinders, and total plant CFM for fixture banks.
- Packaging machinery: short-stroke actuators, cycle-time air consumption, and valve response screening.
- Material handling & cleanrooms: lifting force, distributed demand, leak cost, and pipe sizing for controlled environments.
Pneumatic Calculation Workflow
Follow this three-step workflow for a complete compressed air system design:
- Step 1 — Cylinder sizing: Determine required force from your application (clamping, lifting, pushing). Calculate minimum bore using D = sqrt(4F / (π × P × load_factor)). Select the next standard bore. Calculate air consumption per cycle. → Pneumatic Cylinder Sizing Calculator
- Step 2 — Compressor sizing: Sum air consumption of all cylinders and tools. Apply simultaneous use factor (0.65-0.85). Add leakage (10-20%) and growth margin (10-15%). Calculate required FAD, then HP/kW and tank size. → Air Compressor Sizing Calculator
- Step 2b — Air treatment: Set target pressure dew point for the process, apply inlet/ambient/pressure correction factors, and size refrigerated or desiccant dryer rated SCFM. → Air Dryer Sizing Calculator
- Step 3 — Pipe sizing: Size distribution piping for the compressor's FAD output. Keep velocity below 20-30 ft/s and pressure drop below 0.1 bar per 100 ft. Include equivalent length for all fittings. → Compressed Air Pipe Sizing Calculator
Key Pneumatic Formulas
| Calculation | Formula | Variables |
|---|
| Cylinder push force | F = P × π × D² / 4 | P = pressure, D = bore |
| Cylinder pull force | F = P × π × (D² - d²) / 4 | d = rod diameter |
| Minimum bore | D = sqrt(4F / (π × P × LF)) | LF = load factor (0.5-0.9) |
| Compressor HP | HP = (CFM × PSI) / (229 × η) | η = efficiency (0.85-0.95) |
| Pipe pressure drop | ΔP = f × (L/D) × (ρV²/2) | f = friction factor, L = equiv. length |
| Air velocity | V = Q / (A × 60) | Q = compressed CFM, A = pipe area |
Standard Pneumatic Cylinder Bores
ISO 6432 (metric micro) and ISO 15552 (metric industrial) define standard bore sizes. Always select the next larger standard bore than your calculated minimum.
| Standard | Bore Sizes (mm) | Typical Force @ 6 bar (N) |
|---|
| ISO 6432 (micro) | 8, 10, 12, 16, 20, 25 | 30 - 295 |
| ISO 15552 (industrial) | 32, 40, 50, 63, 80, 100, 125, 160, 200, 250 | 483 - 29,450 |
| NFPA (imperial) | 9/16, 5/8, 3/4, 1-1/16, 1-1/4, 1-1/2, 2, 2-1/2, 3, 4, 5, 6, 8 inch | Varies by pressure |
FAQ — Pneumatic Calculators
How do you size a pneumatic cylinder?
Calculate the required bore using D = sqrt(4F / (π × P × load_factor)), where F is the required force, P is supply pressure, and load_factor is 0.5-0.85 depending on application. Select the next larger standard bore (ISO 6432: 8, 10, 12, 16, 20, 25, 32, 40, 50, 63, 80, 100 mm). Use the Pneumatic Cylinder Sizing Calculator for instant force, bore, and air consumption results.
What size air compressor do I need?
Sum the CFM requirements of all pneumatic tools, multiply by a simultaneous use factor (0.65-0.85), add 10-20% for leakage and 10-15% for growth. The result is your required FAD (Free Air Delivery). A typical screw compressor delivers 3.5-4.5 CFM per HP at 100 PSI. Use the Air Compressor Sizing Calculator for HP, kW, tank size, and annual energy cost.
How do you calculate compressed air pipe size?
Find the smallest pipe diameter that keeps air velocity below 20-30 ft/s (6-9 m/s) for main headers and pressure drop below 0.1 bar (1.5 PSI) per 100 ft. Use the Darcy-Weisbach equation: ΔP = f × (L/D) × (ρV²/2). Include equivalent length for elbows, tees, and valves. Use the Compressed Air Pipe Sizing Calculator for steel, copper, aluminum, and HDPE pipe.
What is the formula for pneumatic cylinder force?
Push force (extend): F = P × π × D² / 4. Pull force (retract): F = P × π × (D² - d²) / 4, where D = bore diameter, d = rod diameter, P = gauge supply pressure. Apply a load factor of 0.5-0.9 for real-world force due to seal friction and pressure losses. The rod reduces effective area on the retract side, so pull force is always less than push force.
How much air does a pneumatic cylinder consume?
Air consumption per cycle = (extend volume + retract volume) × absolute pressure ratio. Extend volume = π/4 × D² × S, retract volume = π/4 × (D² - d²) × S (double-acting only). Convert to FAD by multiplying by (P_gauge + P_atm) / P_atm. Multiply by cycles per minute for continuous CFM demand on the compressor.
What is the difference between pneumatic and hydraulic actuators?
Pneumatics use compressed air (typically 4–7 bar) for fast, clean motion with moderate force density. Hydraulics use oil at 100–350 bar for much higher force in compact cylinders but require fluid management. Use the pneumatic vs hydraulic actuators guide for force density, lifecycle cost, and selection criteria.
