Mechanical Design
Hard

Size the Pneumatic Cylinder

Compute a cylinder's extend and retract forces at line pressure, the pressure it would actually need to move the load, and decide whether it is the right size.

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📋 Scenario A clamp cylinder must push a 1200 N load on the extend stroke at the shop's 6 bar supply. You have a 50 mm bore / 20 mm rod cylinder on the shelf. Check its theoretical forces (ignore friction), work out the minimum pressure it would need for the load, and judge whether the shelf cylinder is adequate.
pistonrod ⌀201200 Nbore ⌀50 · 6 bar

📋 Given

50 mm
20 mm
6 bar
1200 N
🧮 Useful relations
1 bar = 0.1 MPa = 0.1 N/mm²
Extend force = P · (π/4)·D² · Retract force = P · (π/4)·(D² − d²)
Min pressure = Force / (π/4)·D²

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