Collar Friction Torque in Accordance of Uniform Pressure Theory Solution

STEP 0: Pre-Calculation Summary
Formula Used
Collar Friction Torque = ((Coefficient of Friction*Load)*(Outer Diameter of Collar^3-Inner Diameter of Collar^3))/(3*(Outer Diameter of Collar^2-Inner Diameter of Collar^2))
Tc = ((μf*Wload)*(d0^3-di^3))/(3*(d0^2-di^2))
This formula uses 5 Variables
Variables Used
Collar Friction Torque - (Measured in Newton Meter) - The Collar Friction Torque is the additional torque required to account for the friction between Collar and Load.
Coefficient of Friction - The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.
Load - (Measured in Newton) - Load is the instantaneous load applied perpendicular to the specimen cross-section.
Outer Diameter of Collar - (Measured in Meter) - The Outer Diameter of Collar is the actual outer diameter of the collar.
Inner Diameter of Collar - (Measured in Meter) - The Inner Diameter of Collar is the actual inner diameter of the collar.
STEP 1: Convert Input(s) to Base Unit
Coefficient of Friction: 0.2 --> No Conversion Required
Load: 3.6 Kilonewton --> 3600 Newton (Check conversion here)
Outer Diameter of Collar: 120 Millimeter --> 0.12 Meter (Check conversion here)
Inner Diameter of Collar: 42 Millimeter --> 0.042 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tc = ((μf*Wload)*(d0^3-di^3))/(3*(d0^2-di^2)) --> ((0.2*3600)*(0.12^3-0.042^3))/(3*(0.12^2-0.042^2))
Evaluating ... ...
Tc = 31.4133333333333
STEP 3: Convert Result to Output's Unit
31.4133333333333 Newton Meter --> No Conversion Required
FINAL ANSWER
31.4133333333333 31.41333 Newton Meter <-- Collar Friction Torque
(Calculation completed in 00.004 seconds)

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21 Design of Machine Elements Calculators

Factor of Safety for Tri-axial State of Stress
Go Factor of Safety = Tensile Yield Strength/sqrt(1/2*((Normal Stress 1-Normal Stress 2)^2+(Normal Stress 2-Normal Stress 3)^2+(Normal Stress 3-Normal Stress 1)^2))
Equivalent Stress by Distortion Energy Theory
Go Equivalent Stress = 1/sqrt(2)*sqrt((Normal Stress 1-Normal Stress 2)^2+(Normal Stress 2-Normal Stress 3)^2+(Normal Stress 3-Normal Stress 1)^2)
Collar Friction Torque in Accordance of Uniform Pressure Theory
Go Collar Friction Torque = ((Coefficient of Friction*Load)*(Outer Diameter of Collar^3-Inner Diameter of Collar^3))/(3*(Outer Diameter of Collar^2-Inner Diameter of Collar^2))
Factor of Safety for Bi-Axial State of Stress
Go Factor of Safety = Tensile Yield Strength/(sqrt(Normal Stress 1^2+Normal Stress 2^2-Normal Stress 1*Normal Stress 2))
Tensile Stress in Spigot
Go Tensile Stress = Tensile Force on Rods/((pi/4*Diameter of Spigot^(2))-(Diameter of Spigot*Thickness of Cotter))
Unit Bearing Pressure
Go Unit Bearing Pressure = (4*Force on Unit)/(pi*Number of Threads*(Nominal Diameter^2-Core Diameter^2))
Shear Stress on Flat Key
Go Shear Stress = (2*Torque Transmitted by Shaft)/(Width of Key*Diameter of Shaft*Length of Key)
Polar Moment of Inertia of Hollow Circular Shaft
Go Polar Moment of Inertia of shaft = (pi*(Outer Diameter of Shaft^(4)-Inner Diameter of Shaft^(4)))/32
Ratio Factor for External Gears
Go Ratio Factor = 2*Number of Teeth of Gear/(Number of Teeth of Gear+Number of Teeth on Spur Pinion)
Ratio Factor for Internal Gears
Go Ratio Factor = 2*Number of Teeth of Gear/(Number of Teeth of Gear-Number of Teeth on Spur Pinion)
Permissible Shear Stress for Cotter
Go Permissible Shear Stress = Tensile Force on Rods/(2*Mean Width of Cotter*Thickness of Cotter)
Compressive Stress of Spigot
Go Compressive Stress in Spigot = Load on Cotter Joint/(Thickness of Cotter*Spigot Diameter)
Permissible Shear Stress for Spigot
Go Permissible Shear Stress = Tensile Force on Rods/(2*Spigot Distance*Diameter of Spigot)
Pitchline Velocity of Meshing Gears
Go Velocity = pi*Diameter of Pitch Circle*Speed in RPM/60
Power Transmitted
Go Shaft Power = 2*pi*Speed of Rotation*Torque applied
Stress Amplitude
Go Stress Amplitude = (Maximum Stress at Crack Tip-Minimum Stress)/2
Polar Moment of Inertia of Solid Circular Shaft
Go Polar Moment of Inertia = (pi*Diameter of Shaft^4)/32
Factor of Safety given Ultimate Stress and Working Stress
Go Factor of Safety = Fracture Stress/Working Stress
Thickness of Cotter Joint
Go Thickness of Cotter = 0.31*Diameter of Rod of Cotter Joint
Shear Yield Strength by Maximum Distortion Energy Theory
Go Shear Yield Strength = 0.577*Tensile Yield Strength
Shear Yield Strength by Maximum Shear Stress Theory
Go Shear Yield Strength = Tensile Yield Strength/2

Collar Friction Torque in Accordance of Uniform Pressure Theory Formula

Collar Friction Torque = ((Coefficient of Friction*Load)*(Outer Diameter of Collar^3-Inner Diameter of Collar^3))/(3*(Outer Diameter of Collar^2-Inner Diameter of Collar^2))
Tc = ((μf*Wload)*(d0^3-di^3))/(3*(d0^2-di^2))

What is collar friction in uniform pressure theory?

When the part is new the pressure is uniformly distributed overall the part so the working is uniform.

How to Calculate Collar Friction Torque in Accordance of Uniform Pressure Theory?

Collar Friction Torque in Accordance of Uniform Pressure Theory calculator uses Collar Friction Torque = ((Coefficient of Friction*Load)*(Outer Diameter of Collar^3-Inner Diameter of Collar^3))/(3*(Outer Diameter of Collar^2-Inner Diameter of Collar^2)) to calculate the Collar Friction Torque, The Collar friction torque in accordance of Uniform Pressure Theory formula is defined as the torque required to overcome the friction or collar friction. Collar Friction Torque is denoted by Tc symbol.

How to calculate Collar Friction Torque in Accordance of Uniform Pressure Theory using this online calculator? To use this online calculator for Collar Friction Torque in Accordance of Uniform Pressure Theory, enter Coefficient of Friction f), Load (Wload), Outer Diameter of Collar (d0) & Inner Diameter of Collar (di) and hit the calculate button. Here is how the Collar Friction Torque in Accordance of Uniform Pressure Theory calculation can be explained with given input values -> 31.41333 = ((0.2*3600)*(0.12^3-0.042^3))/(3*(0.12^2-0.042^2)).

FAQ

What is Collar Friction Torque in Accordance of Uniform Pressure Theory?
The Collar friction torque in accordance of Uniform Pressure Theory formula is defined as the torque required to overcome the friction or collar friction and is represented as Tc = ((μf*Wload)*(d0^3-di^3))/(3*(d0^2-di^2)) or Collar Friction Torque = ((Coefficient of Friction*Load)*(Outer Diameter of Collar^3-Inner Diameter of Collar^3))/(3*(Outer Diameter of Collar^2-Inner Diameter of Collar^2)). The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it, Load is the instantaneous load applied perpendicular to the specimen cross-section, The Outer Diameter of Collar is the actual outer diameter of the collar & The Inner Diameter of Collar is the actual inner diameter of the collar.
How to calculate Collar Friction Torque in Accordance of Uniform Pressure Theory?
The Collar friction torque in accordance of Uniform Pressure Theory formula is defined as the torque required to overcome the friction or collar friction is calculated using Collar Friction Torque = ((Coefficient of Friction*Load)*(Outer Diameter of Collar^3-Inner Diameter of Collar^3))/(3*(Outer Diameter of Collar^2-Inner Diameter of Collar^2)). To calculate Collar Friction Torque in Accordance of Uniform Pressure Theory, you need Coefficient of Friction f), Load (Wload), Outer Diameter of Collar (d0) & Inner Diameter of Collar (di). With our tool, you need to enter the respective value for Coefficient of Friction, Load, Outer Diameter of Collar & Inner Diameter of Collar 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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