Cylinder Force Formulas:
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Definition: This calculator determines the extend and retract forces of a double-acting hydraulic or pneumatic cylinder based on system pressure and piston/rod areas.
Purpose: It helps engineers and technicians properly size cylinders and understand their force capabilities in both directions.
The calculator uses two formulas:
Where:
Explanation: The extend force uses full piston area, while retract force uses the annular area (piston area minus rod area).
Details: Proper force calculation ensures cylinders can handle the required load in both directions and helps prevent system overloading.
Tips: Enter the system pressure in Pascals, piston area in m², and rod area in m². All values must be > 0 and rod area must be less than piston area.
Q1: Why is retract force less than extend force?
A: Because the effective area is smaller during retraction (piston area minus rod area).
Q2: How do I calculate piston area?
A: \( A_{piston} = \pi \times (diameter/2)^2 \) where diameter is in meters.
Q3: What's a typical working pressure?
A: Hydraulic systems often work at 10-30 MPa (10,000,000-30,000,000 Pa), pneumatics at 0.5-1 MPa (500,000-1,000,000 Pa).
Q4: Can I use this for single-acting cylinders?
A: Only for the extend stroke (single-acting cylinders typically use springs for retraction).
Q5: How does rod diameter affect forces?
A: Larger rod diameter means greater difference between extend and retract forces.