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Mechanical, Build & Pneumatics·Lesson 29 of 47

Designing with Pneumatics: Force, Stroke, and Air Usage

The engineering math: size a cylinder's bore for the force you need and estimate whether your air budget lasts a full match.

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Step 1: Identify the Stroke

Design your mechanism or linkage first and measure the travel you need — that is your stroke. The fixed cylinder body is longer than the stroke (the 'dead length'); the Pneumatics Manual ballparks double-acting dead length from roughly 2.5 in for a small bore up to around 7 in for a 2 in bore. Make sure the cylinder physically fits at full extension.

Step 2: Calculate Force from Bore

Force comes from pressure acting on the piston area. Area of a circular bore is pi x r^2, where r is half the bore diameter. So:

Extend force (lb) = pi x (bore/2)^2 x pressure (psi)

Example: a 2 in bore at 60 psi gives pi x (1)^2 x 60 = ~188 lb — matching the figure quoted in the Pneumatics Manual. A 1 in bore at 60 psi gives pi x (0.5)^2 x 60 = ~47 lb.

For a double-acting cylinder, the retract force is lower because the rod occupies part of the piston area on the rod side:

Retract force (lb) = pi x [(bore/2)^2 - (rod/2)^2] x pressure (psi)

Size your bore for the worst-case direction so the cylinder never stalls when you need it.

Step 3: Evaluate Air Usage

Each actuation consumes a volume of air; the compressor refills slowly (and faster at low pressure). Teams pre-charge the tanks toward 120 psi before a match. As cylinders fire, tank pressure drops; the compressor kicks on (around the pressure switch's lower threshold) and tries to keep up. The danger point is when pressure falls below the working pressure your cylinders need (often ~60 psi) — then actuation slows or stops.

Hand-calculating this is tedious because of the compressor's variable refill, so use the ReCalc pneumatics calculator. It takes tank volume, cylinder size/pressure, and actuation frequency, then graphs system pressure over a simulated match. If the curve dips below your working pressure, you have three fixes the Manual highlights:

  1. Reduce air usage — smaller bore/stroke, or actuate less often.
  2. Lower pressure — run the regulator below 60 psi if cylinders still work, cutting consumption per stroke.
  3. Add storage — another tank keeps pressure above 60 psi longer.

Putting It Together

Good pneumatic design is a loop: pick a bore for the force, check the stroke fits, simulate air usage, and adjust tank count or pressure until the match-long curve stays in the safe zone. Do this in CAD/spreadsheet before you cut tubing.

Key takeaways

  • Extend force = pi x (bore/2)^2 x pressure; a 2 in bore at 60 psi makes ~188 lb.
  • Retract force is lower because the rod reduces the effective piston area; size for the worst-case direction.
  • Pre-charge tanks toward 120 psi; trouble starts when pressure falls below the cylinders' working pressure mid-match.
  • Use the ReCalc calculator to simulate air usage, then fix shortfalls by reducing usage, lowering pressure, or adding a tank.

Lesson quiz

Required

Answer all 3 questions correctly to complete this lesson.

1.Which equation gives the theoretical pushing force of a pneumatic cylinder?

2.If you keep the same 60 psi working pressure but choose a cylinder with a larger bore (piston diameter), what happens?

3.For estimating the air consumed each time a cylinder extends, which factor directly increases the volume of air needed?

Answer every question to submit.