Maximum Radial or Tensile Stress in Flywheel Calculator

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Design of Flywheel

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✖Mass Density of Flywheel is the mass of the flywheel material per unit volume.ⓘ Mass Density of Flywheel [ρ]			+10% -10%
✖Peripheral Speed of Flywheel is the speed of the periphery of the flywheel.ⓘ Peripheral Speed of Flywheel [V_peripheral]			+10% -10%
✖Poisson Ratio for Flywheel is defined as the deformation of the material in directions perpendicular to the direction of loading.ⓘ Poisson Ratio for Flywheel [u]			+10% -10%

✖Maximum radial tensile stress in Flywheel is the maximum value of the radial and the tangential stress in the rotating Flywheel.ⓘ Maximum Radial or Tensile Stress in Flywheel [σ_t,max]

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Formula

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Maximum Radial or Tensile Stress in Flywheel

Formula

`"σ"_{"t,max"} = "ρ"*"V"_{"peripheral"}^2*((3+"u")/8)`

Example

`"0.344667N/mm²"="7800kg/m³"*("10.35m/s")^2*((3+"0.3")/8)`

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Download Design of Flywheel Formulas PDF

Maximum Radial or Tensile Stress in Flywheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Radial Tensile Stress in Flywheel = Mass Density of Flywheel*Peripheral Speed of Flywheel^2*((3+Poisson Ratio for Flywheel)/8)
σ_t,max = ρ*V_peripheral^2*((3+u)/8)
This formula uses 4 Variables

Variables Used

Maximum Radial Tensile Stress in Flywheel - (Measured in Pascal) - Maximum radial tensile stress in Flywheel is the maximum value of the radial and the tangential stress in the rotating Flywheel.
Mass Density of Flywheel - (Measured in Kilogram per Cubic Meter) - Mass Density of Flywheel is the mass of the flywheel material per unit volume.
Peripheral Speed of Flywheel - (Measured in Meter per Second) - Peripheral Speed of Flywheel is the speed of the periphery of the flywheel.
Poisson Ratio for Flywheel - Poisson Ratio for Flywheel is defined as the deformation of the material in directions perpendicular to the direction of loading.

STEP 1: Convert Input(s) to Base Unit

Mass Density of Flywheel: 7800 Kilogram per Cubic Meter --> 7800 Kilogram per Cubic Meter No Conversion Required
Peripheral Speed of Flywheel: 10.35 Meter per Second --> 10.35 Meter per Second No Conversion Required
Poisson Ratio for Flywheel: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_t,max = ρ*V_peripheral^2*((3+u)/8) --> 7800*10.35^2*((3+0.3)/8)

Evaluating ... ...

σ_t,max = 344666.64375

STEP 3: Convert Result to Output's Unit

344666.64375 Pascal -->0.34466664375 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

0.34466664375 ≈ 0.344667 Newton per Square Millimeter <-- Maximum Radial Tensile Stress in Flywheel

(Calculation completed in 00.004 seconds)

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< 21 Design of Flywheel Calculators

Tangential Stress in Rotating Flywheel at given Radius

Go Tangential Stress in Flywheel = Mass Density of Flywheel*Peripheral Speed of Flywheel^2*(Poisson Ratio for Flywheel+3)/8*(1-((3*Poisson Ratio for Flywheel+1)/(Poisson Ratio for Flywheel+3))*(Distance from Flywheel Centre/Outer Radius of Flywheel)^2)

Tensile Stress in Spokes of Rimmed Flywheel

Go Tensile Stress in Spokes of Flywheel = Tensile Force in Flywheel Rim/(Width of Rim of Flywheel*Thickness of Rim of Flywheel)+(6*Bending moment in flywheel spokes)/(Width of Rim of Flywheel*Thickness of Rim of Flywheel^2)

Radial Stress in Rotating Flywheel at given Radius

Go Radial Stress in Flywheel = Mass Density of Flywheel*Peripheral Speed of Flywheel^2*((3+Poisson Ratio for Flywheel)/8)*(1-(Distance from Flywheel Centre/Outer Radius of Flywheel)^2)

Coefficient of Fluctuation of Flywheel Speed given Min and Max Speed

Go Coefficient of Fluctuation of Flywheel Speed = 2*(Maximum Angular Speed of Flywheel-Minimum Angular Speed of Flywheel)/(Maximum Angular Speed of Flywheel+Minimum Angular Speed of Flywheel)

Outer Radius of Flywheel Disk

Go Outer Radius of Flywheel = ((2*Moment of Inertia of Flywheel)/(pi*Thickness of Flywheel*Mass Density of Flywheel))^(1/4)

Coefficient of Fluctuation of Flywheel Speed given Mean Speed

Go Coefficient of Fluctuation of Flywheel Speed = (Maximum Angular Speed of Flywheel-Minimum Angular Speed of Flywheel)/Mean Angular Speed of Flywheel

Mass Density of Flywheel Disk

Go Mass Density of Flywheel = (2*Moment of Inertia of Flywheel)/(pi*Thickness of Flywheel*Outer Radius of Flywheel^4)

Thickness of Flywheel Disk

Go Thickness of Flywheel = (2*Moment of Inertia of Flywheel)/(pi*Mass Density of Flywheel*Outer Radius of Flywheel^4)

Moment of Inertia of Flywheel Disk

Go Moment of Inertia of Flywheel = pi/2*Mass Density of Flywheel*Outer Radius of Flywheel^4*Thickness of Flywheel

Coefficient of Steadiness of Flywheel given Mean Speed

Go Coefficient of Steadiness for Flywheel = Mean Angular Speed of Flywheel/(Maximum Angular Speed of Flywheel-Minimum Angular Speed of Flywheel)

Energy Output from Flywheel

Go Energy Output From Flywheel = Moment of Inertia of Flywheel*Mean Angular Speed of Flywheel^2*Coefficient of Fluctuation of Flywheel Speed

Maximum Radial or Tensile Stress in Flywheel

Go Maximum Radial Tensile Stress in Flywheel = Mass Density of Flywheel*Peripheral Speed of Flywheel^2*((3+Poisson Ratio for Flywheel)/8)

Moment of Inertia of Flywheel

Go Moment of Inertia of Flywheel = (Driving Input Torque of Flywheel-Load Output Torque of Flywheel)/Angular Acceleration of Flywheel

Coefficient of Fluctuation of Flywheel Energy given Maximum Fluctuation of Flywheel Energy

Go Coefficient of Fluctuation of Flywheel Energy = Maximum Fluctuation of Energy for Flywheel/Work Done per Cycle for Engine

Maximum Fluctuation of Flywheel Energy given Coefficient of Fluctuation of Enaergy

Go Maximum Fluctuation of Energy for Flywheel = Coefficient of Fluctuation of Flywheel Energy*Work Done per Cycle for Engine

Work Done per Cycle for Engine connected to Flywheel

Go Work Done per Cycle for Engine = Maximum Fluctuation of Energy for Flywheel/Coefficient of Fluctuation of Flywheel Energy

Mean Angular Velocity of Flywheel

Go Mean Angular Speed of Flywheel = (Maximum Angular Speed of Flywheel+Minimum Angular Speed of Flywheel)/2

Mean Torque of Flywheel for Four Stroke Engine

Go Mean Torque for Flywheel = Work Done per Cycle for Engine/(4*pi)

Mean Torque of Flywheel for Two Stroke Engine

Go Mean Torque for Flywheel = Work Done per Cycle for Engine/(2*pi)

Work Done per Cycle for Four Stroke Engine connected to Flywheel

Go Work Done per Cycle for Engine = 4*pi*Mean Torque for Flywheel

Work Done per Cycle for Two Stroke Engine connected to Flywheel

Go Work Done per Cycle for Engine = 2*pi*Mean Torque for Flywheel

Maximum Radial or Tensile Stress in Flywheel Formula

Maximum Radial Tensile Stress in Flywheel = Mass Density of Flywheel*Peripheral Speed of Flywheel^2*((3+Poisson Ratio for Flywheel)/8)
σ_t,max = ρ*V_peripheral^2*((3+u)/8)

What is flywheel ?

A flywheel is a heavy rotating body that acts as a reservoir of energy. The energy is stored in the flywheel in the form of kinetic energy. The flywheel acts as an energy bank between the source of power and the driven machinery.

How to Calculate Maximum Radial or Tensile Stress in Flywheel?

Maximum Radial or Tensile Stress in Flywheel calculator uses Maximum Radial Tensile Stress in Flywheel = Mass Density of Flywheel*Peripheral Speed of Flywheel^2*((3+Poisson Ratio for Flywheel)/8) to calculate the Maximum Radial Tensile Stress in Flywheel, Maximum Radial or Tensile Stress in Flywheel is the maximum value of radial or the tensile stress in the flywheel. Maximum Radial Tensile Stress in Flywheel is denoted by σ_t,max symbol.

How to calculate Maximum Radial or Tensile Stress in Flywheel using this online calculator? To use this online calculator for Maximum Radial or Tensile Stress in Flywheel, enter Mass Density of Flywheel (ρ), Peripheral Speed of Flywheel (V_peripheral) & Poisson Ratio for Flywheel (u) and hit the calculate button. Here is how the Maximum Radial or Tensile Stress in Flywheel calculation can be explained with given input values -> 3.4E-7 = 7800*10.35^2*((3+0.3)/8).

FAQ

What is Maximum Radial or Tensile Stress in Flywheel?

Maximum Radial or Tensile Stress in Flywheel is the maximum value of radial or the tensile stress in the flywheel and is represented as σ_t,max = ρ*V_peripheral^2*((3+u)/8) or Maximum Radial Tensile Stress in Flywheel = Mass Density of Flywheel*Peripheral Speed of Flywheel^2*((3+Poisson Ratio for Flywheel)/8). Mass Density of Flywheel is the mass of the flywheel material per unit volume, Peripheral Speed of Flywheel is the speed of the periphery of the flywheel & Poisson Ratio for Flywheel is defined as the deformation of the material in directions perpendicular to the direction of loading.

How to calculate Maximum Radial or Tensile Stress in Flywheel?

Maximum Radial or Tensile Stress in Flywheel is the maximum value of radial or the tensile stress in the flywheel is calculated using Maximum Radial Tensile Stress in Flywheel = Mass Density of Flywheel*Peripheral Speed of Flywheel^2*((3+Poisson Ratio for Flywheel)/8). To calculate Maximum Radial or Tensile Stress in Flywheel, you need Mass Density of Flywheel (ρ), Peripheral Speed of Flywheel (V_peripheral) & Poisson Ratio for Flywheel (u). With our tool, you need to enter the respective value for Mass Density of Flywheel, Peripheral Speed of Flywheel & Poisson Ratio for Flywheel 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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