FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Shear Force Resisting Motion of Piston Formula

Fx Copy

LaTeX Copy

Shear Force is the force which causes shear deformation to occur in the shear plane. Check FAQs

Fs = π \cdot L P \cdot μ \cdot v piston \cdot (1.5 \cdot {(\frac{D}{C R})}^{2} + 4 \cdot (\frac{D}{C R}))

Fs - Shear Force?L_P - Piston Length?μ - Dynamic Viscosity?v_piston - Velocity of Piston?D - Diameter of Piston?C_R - Radial Clearance?π - Archimedes' constant?

Shear Force Resisting Motion of Piston Example

With values

With units

Only example

Here is how the Shear Force Resisting Motion of Piston equation looks like with Values.

Here is how the Shear Force Resisting Motion of Piston equation looks like with Units.

Here is how the Shear Force Resisting Motion of Piston equation looks like.

87.8546 = 3.1416 \cdot 5 \cdot 10.2 \cdot 0.045 \cdot (1.5 \cdot {(\frac{3.5}{0.45})}^{2} + 4 \cdot (\frac{3.5}{0.45}))

87.8546N = 3.1416 \cdot 5m \cdot 10.2P \cdot 0.045m/s \cdot (1.5 \cdot {(\frac{3.5m}{0.45m})}^{2} + 4 \cdot (\frac{3.5m}{0.45m}))

87.8546 = 3.1416 \cdot 5 \cdot 10.2 \cdot 0.045 \cdot (1.5 \cdot {(\frac{3.5}{0.45})}^{2} + 4 \cdot (\frac{3.5}{0.45}))

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Hydraulics and Waterworks » fx Shear Force Resisting Motion of Piston

Shear Force Resisting Motion of Piston Solution

Follow our step by step solution on how to calculate Shear Force Resisting Motion of Piston?

FIRST Step Consider the formula

Fs = π \cdot L P \cdot μ \cdot v piston \cdot (1.5 \cdot {(\frac{D}{C R})}^{2} + 4 \cdot (\frac{D}{C R}))

Next Step Substitute values of Variables

∴

Fs = π \cdot 5m \cdot 10.2P \cdot 0.045m/s \cdot (1.5 \cdot {(\frac{3.5m}{0.45m})}^{2} + 4 \cdot (\frac{3.5m}{0.45m}))

Next Step Substitute values of Constants

∴

Fs = 3.1416 \cdot 5m \cdot 10.2P \cdot 0.045m/s \cdot (1.5 \cdot {(\frac{3.5m}{0.45m})}^{2} + 4 \cdot (\frac{3.5m}{0.45m}))

Next Step Convert Units

∴

Fs = 3.1416 \cdot 5m \cdot 1.02Pa*s \cdot 0.045m/s \cdot (1.5 \cdot {(\frac{3.5m}{0.45m})}^{2} + 4 \cdot (\frac{3.5m}{0.45m}))

Next Step Prepare to Evaluate

∴

Fs = 3.1416 \cdot 5 \cdot 1.02 \cdot 0.045 \cdot (1.5 \cdot {(\frac{3.5}{0.45})}^{2} + 4 \cdot (\frac{3.5}{0.45}))

Next Step Evaluate

∴

Fs = 87.8546385576386N

LAST Step Rounding Answer

∴

Fs = 87.8546N

Shear Force Resisting Motion of Piston Formula Elements

Variables

Constants

Shear Force

Shear Force is the force which causes shear deformation to occur in the shear plane.

Symbol: Fs

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Shear Force

Piston Length

Piston Length is how far the piston travels in the cylinder, which is determined by the cranks on the crankshaft. length.

Symbol: L_P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Piston Length

Dynamic Viscosity

The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

Symbol: μ

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Velocity of Piston

Velocity of piston in reciprocating pump is defined as the product of sin of angular velocity and time, radius of crank and angular velocity.

Symbol: v_piston

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity of Piston

Diameter of Piston

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.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Piston

Radial Clearance

Radial Clearance or gap is the distance between two surfaces adjacent to each other.

Symbol: C_R

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radial Clearance

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Dash Pot Mechanism category

Go Velocity of Flow in Oil Tank

u Oiltank = (dp|dr \cdot 0.5 \cdot \frac{R \cdot R - C H \cdot R}{μ}) - (v piston \cdot \frac{R}{C H})

Go Pressure Gradient given Velocity of Flow in Oil Tank

dp|dr = \frac{μ \cdot 2 \cdot (u Oiltank - (v piston \cdot \frac{R}{C H}))}{R \cdot R - C H \cdot R}

Go Pressure Gradient given Rate of Flow

dp|dr = (12 \cdot \frac{μ}{{C R}^{3}}) \cdot ((\frac{Q}{π} \cdot D) + v piston \cdot 0.5 \cdot C R)

Go Pressure Drop over Piston

ΔPf = (6 \cdot μ \cdot v piston \cdot \frac{L P}{{C R}^{3}}) \cdot (0.5 \cdot D + C R)

How to Evaluate Shear Force Resisting Motion of Piston?

Shear Force Resisting Motion of Piston evaluator 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 evaluate 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 evaluate Shear Force Resisting Motion of Piston using this online evaluator? To use this online evaluator 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.

FAQs on Shear Force Resisting Motion of Piston

What is the formula to find Shear Force Resisting Motion of Piston?

The formula of Shear Force Resisting Motion of Piston is expressed as Shear Force = pi*Piston Length*Dynamic Viscosity*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance)). Here is an example- 87.85464 = pi*5*1.02*0.045*(1.5*(3.5/0.45)^2+4*(3.5/0.45)).

How to calculate Shear Force Resisting Motion of Piston?

With Piston Length (L_P), Dynamic Viscosity (μ), Velocity of Piston (v_piston), Diameter of Piston (D) & Radial Clearance (C_R) we can find Shear Force Resisting Motion of Piston using the formula - Shear Force = pi*Piston Length*Dynamic Viscosity*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance)). This formula also uses Archimedes' constant .

Can the Shear Force Resisting Motion of Piston be negative?

Yes, the Shear Force Resisting Motion of Piston, measured in Force can be negative.

Which unit is used to measure Shear Force Resisting Motion of Piston?

Shear Force Resisting Motion of Piston is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Shear Force Resisting Motion of Piston can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Shear Force Resisting Motion of Piston Formula

Shear Force Resisting Motion of Piston Example

Shear Force Resisting Motion of Piston Solution

Shear Force Resisting Motion of Piston Formula Elements

Other formulas in Dash Pot Mechanism category

How to Evaluate Shear Force Resisting Motion of Piston?

FAQs on Shear Force Resisting Motion of Piston

Variable Name