Diameter of Piston given Shear Stress Calculator

Formula Used:

\[ D = \frac{\tau}{1.5 \times \mu \times \frac{v_{piston}}{C_H \times C_H}} \]

Shear Stress (τ):

Pascal

Dynamic Viscosity (μ):

Pascal Second

Velocity of Piston (v_piston):

m/s

Hydraulic Clearance (C_H):

Meter

Diameter of Piston (D):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Diameter of Piston given Shear Stress Formula?

The formula calculates the diameter of a piston based on shear stress, dynamic viscosity, piston velocity, and hydraulic clearance. It's essential in hydraulic system design and analysis.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ D = \frac{\tau}{1.5 \times \mu \times \frac{v_{piston}}{C_H \times C_H}} \]

Where:

\( D \) — Diameter of Piston (Meter)
\( \tau \) — Shear Stress (Pascal)
\( \mu \) — Dynamic Viscosity (Pascal Second)
\( v_{piston} \) — Velocity of Piston (m/s)
\( C_H \) — Hydraulic Clearance (Meter)

Explanation: This formula relates the piston diameter to the shear stress experienced in the hydraulic system, considering fluid properties and geometric parameters.

3. Importance of Piston Diameter Calculation

Details: Accurate piston diameter calculation is crucial for proper hydraulic system design, ensuring optimal performance, efficiency, and preventing mechanical failures due to excessive shear stress.

4. Using the Calculator

Tips: Enter all values in appropriate units. Shear stress in Pascal, dynamic viscosity in Pascal Second, velocity in m/s, and hydraulic clearance in meters. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is hydraulic clearance?
A: Hydraulic clearance is the gap or space between two surfaces adjacent to each other in a hydraulic system, typically between the piston and cylinder.

Q2: Why is dynamic viscosity important in this calculation?
A: Dynamic viscosity represents the internal resistance of the fluid to flow, which directly affects the shear stress experienced by the piston.

Q3: What are typical units for these measurements?
A: Shear stress in Pascal, viscosity in Pascal Second, velocity in m/s, clearance in meters, and diameter in meters.

Q4: When is this formula most applicable?
A: This formula is particularly useful in hydraulic system design, fluid power applications, and mechanical engineering calculations involving piston-cylinder arrangements.

Q5: What factors can affect the accuracy of this calculation?
A: Temperature variations affecting viscosity, surface roughness, manufacturing tolerances, and non-Newtonian fluid behavior can impact the accuracy of the calculation.