Length of Piston for Shear Force Resisting Motion of Piston Calculator

✖Shear Force is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force [Fs]			+10% -10%
✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_viscosity]			+10% -10%
✖Velocity of piston in reciprocating pump is defined as the product of sin of angular velocity and time, radius of crank and angular velocity.ⓘ Velocity of Piston [v_piston]			+10% -10%
✖Diameter of Piston is the actual diameter of the piston while the bore is the size of the cylinder and will always be larger than the piston.ⓘ Diameter of Piston [D]			+10% -10%
✖Radial Clearance or gap is the distance between two surfaces adjacent to each other.ⓘ Radial Clearance [C_R]			+10% -10%

✖Piston Length is how far the piston travels in the cylinder, which is determined by the cranks on the crankshaft. length.ⓘ Length of Piston for Shear Force Resisting Motion of Piston [L_P]

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Length of Piston for Shear Force Resisting Motion of Piston

Formula

`"L"_{"P"} = "Fs"/(pi*"μ"_{"viscosity"}*"v"_{"piston"}*(1.5*("D"/"C"_{"R"})^2+4*("D"/"C"_{"R"})))`

Example

`"5.122097m"="90N"/(pi*"10.2P"*"0.045m/s"*(1.5*("3.5m"/"0.45m")^2+4*("3.5m"/"0.45m")))`

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Length of Piston for Shear Force Resisting Motion of Piston Solution

STEP 0: Pre-Calculation Summary

Formula Used

Piston Length = Shear Force/(pi*Dynamic Viscosity*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance)))
L_P = Fs/(pi*μ_viscosity*v_piston*(1.5*(D/C_R)^2+4*(D/C_R)))
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Piston Length - (Measured in Meter) - Piston Length is how far the piston travels in the cylinder, which is determined by the cranks on the crankshaft. length.
Shear Force - (Measured in Newton) - Shear Force is the force which causes shear deformation to occur in the shear plane.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
Velocity of Piston - (Measured in Meter per Second) - Velocity of piston in reciprocating pump is defined as the product of sin of angular velocity and time, radius of crank and angular velocity.
Diameter of Piston - (Measured in Meter) - Diameter of Piston is the actual diameter of the piston while the bore is the size of the cylinder and will always be larger than the piston.
Radial Clearance - (Measured in Meter) - Radial Clearance or gap is the distance between two surfaces adjacent to each other.

STEP 1: Convert Input(s) to Base Unit

Shear Force: 90 Newton --> 90 Newton No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Velocity of Piston: 0.045 Meter per Second --> 0.045 Meter per Second No Conversion Required
Diameter of Piston: 3.5 Meter --> 3.5 Meter No Conversion Required
Radial Clearance: 0.45 Meter --> 0.45 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_P = Fs/(pi*μ_viscosity*v_piston*(1.5*(D/C_R)^2+4*(D/C_R))) --> 90/(pi*1.02*0.045*(1.5*(3.5/0.45)^2+4*(3.5/0.45)))

Evaluating ... ...

L_P = 5.12209722090849

STEP 3: Convert Result to Output's Unit

5.12209722090849 Meter --> No Conversion Required

FINAL ANSWER

5.12209722090849 ≈ 5.122097 Meter <-- Piston Length

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Dash-Pot Mechanism » Length of Piston for Shear Force Resisting Motion of Piston

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 12 Dash-Pot Mechanism Calculators

Velocity of Flow in Oil Tank

Go Fluid Velocity in Oil Tank = (Pressure Gradient*0.5*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity)-(Velocity of Piston*Horizontal Distance/Hydraulic Clearance)

Pressure Gradient given Velocity of Flow in Oil Tank

Go Pressure Gradient = (Dynamic Viscosity*2*(Fluid Velocity in Oil Tank-(Velocity of Piston*Horizontal Distance/Hydraulic Clearance)))/(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)

Length of Piston for Vertical Upward Force on Piston

Go Piston Length = Vertical Component of Force/(Velocity of Piston*pi*Dynamic Viscosity*(0.75*((Diameter of Piston/Radial Clearance)^3)+1.5*((Diameter of Piston/Radial Clearance)^2)))

Vertical Upward Force on Piston given Piston Velocity

Go Vertical Component of Force = Piston Length*pi*Dynamic Viscosity*Velocity of Piston*(0.75*((Diameter of Piston/Radial Clearance)^3)+1.5*((Diameter of Piston/Radial Clearance)^2))

Length of Piston for Shear Force Resisting Motion of Piston

Go Piston Length = Shear Force/(pi*Dynamic Viscosity*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance)))

Shear Force Resisting Motion of Piston

Go Shear Force = pi*Piston Length*Dynamic Viscosity*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance))

Pressure Gradient given Rate of Flow

Go Pressure Gradient = (12*Dynamic Viscosity/(Radial Clearance^3))*((Discharge in Laminar Flow/pi*Diameter of Piston)+Velocity of Piston*0.5*Radial Clearance)

Length of Piston for Pressure Drop over Piston

Go Piston Length = Pressure Drop due to Friction/((6*Dynamic Viscosity*Velocity of Piston/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance))

Pressure Drop over Piston

Go Pressure Drop due to Friction = (6*Dynamic Viscosity*Velocity of Piston*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance)

Pressure Drop over Length of Piston given Vertical Upward Force on Piston

Go Pressure Drop due to Friction = Vertical Component of Force/(0.25*pi*Diameter of Piston*Diameter of Piston)

Vertical Force given Total Force

Go Vertical Component of Force = Shear Force-Total Force in Piston

Total Forces

Go Total Force = Vertical Component of Force+Shear Force

Length of Piston for Shear Force Resisting Motion of Piston Formula

What is Shear Force?

Shearing forces are unaligned forces pushing one part of a body in one specific direction, and another part of the body in the opposite direction. When the forces are colinear, they are called compression forces.

How to Calculate Length of Piston for Shear Force Resisting Motion of Piston?

Length of Piston for Shear Force Resisting Motion of Piston calculator uses Piston Length = Shear Force/(pi*Dynamic Viscosity*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance))) to calculate the Piston Length, The Length of Piston for Shear Force Resisting Motion of Piston is defined as total length of piston or tank in oil. Piston Length is denoted by L_P symbol.

How to calculate Length of Piston for Shear Force Resisting Motion of Piston using this online calculator? To use this online calculator for Length of Piston for Shear Force Resisting Motion of Piston, enter Shear Force (Fs), Dynamic Viscosity (μ_viscosity), Velocity of Piston (v_piston), Diameter of Piston (D) & Radial Clearance (C_R) and hit the calculate button. Here is how the Length of Piston for Shear Force Resisting Motion of Piston calculation can be explained with given input values -> 5.122097 = 90/(pi*1.02*0.045*(1.5*(3.5/0.45)^2+4*(3.5/0.45))).

FAQ

What is Length of Piston for Shear Force Resisting Motion of Piston?

The Length of Piston for Shear Force Resisting Motion of Piston is defined as total length of piston or tank in oil and is represented as L_P = Fs/(pi*μ_viscosity*v_piston*(1.5*(D/C_R)^2+4*(D/C_R))) or Piston Length = Shear Force/(pi*Dynamic Viscosity*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance))). Shear Force is the force which causes shear deformation to occur in the shear plane, The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, Velocity of piston in reciprocating pump is defined as the product of sin of angular velocity and time, radius of crank and angular velocity, Diameter of Piston is the actual diameter of the piston while the bore is the size of the cylinder and will always be larger than the piston & Radial Clearance or gap is the distance between two surfaces adjacent to each other.

How to calculate Length of Piston for Shear Force Resisting Motion of Piston?

The Length of Piston for Shear Force Resisting Motion of Piston is defined as total length of piston or tank in oil is calculated using Piston Length = Shear Force/(pi*Dynamic Viscosity*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance))). To calculate Length of Piston for Shear Force Resisting Motion of Piston, you need Shear Force (Fs), Dynamic Viscosity (μ_viscosity), Velocity of Piston (v_piston), Diameter of Piston (D) & Radial Clearance (C_R). With our tool, you need to enter the respective value for Shear Force, Dynamic Viscosity, Velocity of Piston, Diameter of Piston & Radial Clearance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Piston Length?

In this formula, Piston Length uses Shear Force, Dynamic Viscosity, Velocity of Piston, Diameter of Piston & Radial Clearance. We can use 2 other way(s) to calculate the same, which is/are as follows -

Piston Length = Pressure Drop due to Friction/((6*Dynamic Viscosity*Velocity of Piston/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance))
Piston Length = Vertical Component of Force/(Velocity of Piston*pi*Dynamic Viscosity*(0.75*((Diameter of Piston/Radial Clearance)^3)+1.5*((Diameter of Piston/Radial Clearance)^2)))

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