Quick Answer
Calculate Hydraulic Cylinder Bore Diameter from Force, Pressure, and Efficiency
Calculator
Result Interpretation
Hydraulic Cylinder Bore Diameter from Force, Pressure, and Efficiency calculator computes Calculated Bore Diameter in m using the defined engineering formula and the input values provided.
Worked Example
Verified calculation
Given:
- Required Output Force = 45000
- System Operating Pressure = 20000000
- Cylinder Mechanical Efficiency = 0.94
- Rod Diameter = 0.025
- Bore Diameter (initial guess for iterative context) = 0.09
- Stroke Length = 0.4
- Fluid Bulk Modulus = 1750000000
Expected Result:
- Calculated Bore Diameter = 0.057467102767503
Engineering Interpretation:
Under the given input conditions, the calculated result is: Calculated Bore Diameter = 0.057467102767503 m.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.
Formula / Method
calculated bore diameter = sqrt((4.0 * required output force) / (3.14159265358979 * system operating pressure * cylinder mechanical efficiency * (1.0 - pow(rod diameter / initial guess for iterative context, 2.0))))Formula family: formula_hydraulics_bore_calculator
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| Required Output Force | Required Output Force | INPUT | Required Output Force |
| System Operating Pressure | System Operating Pressure | INPUT | System Operating Pressure |
| Cylinder Mechanical Efficiency | Cylinder Mechanical Efficiency | INPUT | Cylinder Mechanical Efficiency |
| Rod Diameter | Rod Diameter | INPUT | Rod Diameter |
| Bore Diameter (initial guess for iterative context) | Bore Diameter (initial guess for iterative context) | INPUT | Bore Diameter (initial guess for iterative context) |
| Stroke Length | Stroke Length | INPUT | Stroke Length |
| Fluid Bulk Modulus | Fluid Bulk Modulus | INPUT | Fluid Bulk Modulus |
| Calculated Bore Diameter | Calculated Bore Diameter | OUTPUT | Calculated Bore Diameter |
Calculation Steps
- Enter the required output force in N.
- Enter the system operating pressure in Pa.
- Enter the cylinder mechanical efficiency in 1.
- Enter the rod diameter in m.
- Enter the bore diameter (initial guess for iterative context) in m.
- Enter the stroke length in m.
- Enter the fluid bulk modulus in Pa.
- Step 1: Compute calculated bore diameter.
- Read the calculated bore diameter (m) from the results.
Engineering Summary
Calculate Hydraulic Cylinder Bore Diameter from Force, Pressure, and Efficiency
Frequently Asked Questions
What does this calculator calculate?
The Hydraulic Cylinder Bore Diameter from Force, Pressure, and Efficiency calculator estimates Calculated Bore Diameter based on the input parameters you provide
Why is required output force important in this calculation?
required output force is directly proportional to calculated bore diameter. When you enter required output force in N, the calculator uses it in the engineering formula to compute the output
How should I interpret the result calculated bore diameter?
The calculator outputs calculated bore diameter in m. The result is computed directly from the input values using the defined engineering formula
What units should I use for the inputs?
Enter each value in the units shown next to the input field: Required Output Force (N), System Operating Pressure (Pa), Rod Diameter (m), Bore Diameter (initial guess for iterative context) (m), Stroke Length (m), Fluid Bulk Modulus (Pa). Make sure all inputs use the specified units for consistent results
What assumptions does this calculator use?
This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment
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