Shear Force Resisting Motion of Piston Calculator

✖Piston Length is how far the piston travels in the cylinder, which is determined by the cranks on the crankshaft. length.ⓘ Piston Length [L_P]			+10% -10%
✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+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%

✖Shear Force is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force Resisting Motion of Piston [Fs]

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Shear Force Resisting Motion of Piston Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Shear Force - (Measured in Newton) - Shear Force is the force which causes shear deformation to occur in the shear plane.
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.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a 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

Piston Length: 5 Meter --> 5 Meter 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

Fs = pi*L_P*μ*v_piston*(1.5*(D/C_R)^2+4*(D/C_R)) --> pi*5*1.02*0.045*(1.5*(3.5/0.45)^2+4*(3.5/0.45))

Evaluating ... ...

Fs = 87.8546385576386

STEP 3: Convert Result to Output's Unit

87.8546385576386 Newton --> No Conversion Required

FINAL ANSWER

87.8546385576386 ≈ 87.85464 Newton <-- Shear Force

(Calculation completed in 00.004 seconds)

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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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< Dash Pot Mechanism Calculators

Pressure Gradient given Velocity of Flow in Oil Tank

LaTeX 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)

Velocity of Flow in Oil Tank

LaTeX 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 Rate of Flow

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

Pressure Drop over Piston

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

Shear Force Resisting Motion of Piston Formula

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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 Shear Force Resisting Motion of Piston?

Shear Force Resisting Motion of Piston calculator uses Shear Force = pi*Piston Length*Dynamic Viscosity*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance)) to calculate the Shear Force, The Shear Force Resisting Motion of Piston is defined as the force due to friction between the piston and tank. Shear Force is denoted by Fs symbol.

How to calculate Shear Force Resisting Motion of Piston using this online calculator? To use this online calculator for Shear Force Resisting Motion of Piston, enter Piston Length (L_P), Dynamic Viscosity (μ), Velocity of Piston (v_piston), Diameter of Piston (D) & Radial Clearance (C_R) and hit the calculate button. Here is how the Shear Force Resisting Motion of Piston calculation can be explained with given input values -> 87.85464 = pi*5*1.02*0.045*(1.5*(3.5/0.45)^2+4*(3.5/0.45)).

FAQ

What is Shear Force Resisting Motion of Piston?

The Shear Force Resisting Motion of Piston is defined as the force due to friction between the piston and tank and is represented as Fs = pi*L_P*μ*v_piston*(1.5*(D/C_R)^2+4*(D/C_R)) or Shear Force = pi*Piston Length*Dynamic Viscosity*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance)). Piston Length is how far the piston travels in the cylinder, which is determined by the cranks on the crankshaft. length, The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a 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 Shear Force Resisting Motion of Piston?

The Shear Force Resisting Motion of Piston is defined as the force due to friction between the piston and tank is calculated using Shear Force = pi*Piston Length*Dynamic Viscosity*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance)). To calculate Shear Force Resisting Motion of Piston, you need Piston Length (L_P), Dynamic Viscosity (μ), Velocity of Piston (v_piston), Diameter of Piston (D) & Radial Clearance (C_R). With our tool, you need to enter the respective value for Piston Length, 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.

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