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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 dia of a collar)^3-(Inner dia of a collar)^3))/(3*((Outer dia of a collar)^2-(Inner dia of a collar)^2))
T c = ((μ*W)*((d0)^3-(di)^3))/(3*((d0)^2-(di)^2))
This formula uses 4 Variables
Variables Used
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 - Load is the instantaneous load applied perpendicular to the specimen cross section. (Measured in Newton)
Outer dia of a collar - The outer dia of a collar is the actual outer diameter of the collar. (Measured in Millimeter)
Inner dia of a collar - The inner dia of a collar is actual inner diamter of the collar. (Measured in Millimeter)
STEP 1: Convert Input(s) to Base Unit
Coefficient of Friction: 0.2 --> No Conversion Required
Load: 1000 Newton --> 1000 Newton No Conversion Required
Outer dia of a collar: 100 Millimeter --> 0.1 Meter (Check conversion here)
Inner dia of a collar: 50 Millimeter --> 0.05 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T c = ((μ*W)*((d0)^3-(di)^3))/(3*((d0)^2-(di)^2)) --> ((0.2*1000)*((0.1)^3-(0.05)^3))/(3*((0.1)^2-(0.05)^2))
Evaluating ... ...
T c = 7.77777777777778
STEP 3: Convert Result to Output's Unit
7.77777777777778 Newton Meter -->7777.77777777778 Newton Millimeter (Check conversion here)
FINAL ANSWER
7777.77777777778 Newton Millimeter <-- Collar Friction Torque
(Calculation completed in 00.016 seconds)

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Shear strength in parallel fillet weld
shear_strength_in_parallel_fillet_weld = Tensile force on plates/(0.707*Leg of the weld*Length of weld) Go
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permissible_tensile_strength = Tensile force on plates/(1.414*Length of weld*Leg of the weld) Go
Strength of Butt Joint
tensile_strength = Tensile force on plates/(Throat thickness*Length of weld) Go
Shear Stress for long fillet weld subjected to torsion
shear_stress = 3*Torque acting on rod/(Throat thickness*(Length of weld^2)) Go
Power Transmitted
shaft_power = (2*pi*Speed of Rotation*Torque) Go
Shear strength for double parallel fillet weld
permissible_shear_stress = 1.414*Leg of the weld/Tensile force on plates Go
Strain Energy Density
strain_energy_density = 0.5*Principle Stress*Principle Strain Go
Factor of Safety given Ultimate and Working Stress
factorofsafety = Fracture Stress/Working Stress Go
Thickness Of Cotter Joint
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Collar friction torque in accordance of Uniform Pressure Theory Formula

collar_friction_torque = ((Coefficient of Friction*Load)*((Outer dia of a collar)^3-(Inner dia of a collar)^3))/(3*((Outer dia of a collar)^2-(Inner dia of a collar)^2))
T c = ((μ*W)*((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 dia of a collar)^3-(Inner dia of a collar)^3))/(3*((Outer dia of a collar)^2-(Inner dia of a 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 T c 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 (μ), Load (W), Outer dia of a collar (d0) & Inner dia of a 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 -> 7777.778 = ((0.2*1000)*((0.1)^3-(0.05)^3))/(3*((0.1)^2-(0.05)^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 T c = ((μ*W)*((d0)^3-(di)^3))/(3*((d0)^2-(di)^2)) or collar_friction_torque = ((Coefficient of Friction*Load)*((Outer dia of a collar)^3-(Inner dia of a collar)^3))/(3*((Outer dia of a collar)^2-(Inner dia of a 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 dia of a collar is the actual outer diameter of the collar & The inner dia of a collar is actual inner diamter 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 dia of a collar)^3-(Inner dia of a collar)^3))/(3*((Outer dia of a collar)^2-(Inner dia of a collar)^2)). To calculate Collar friction torque in accordance of Uniform Pressure Theory, you need Coefficient of Friction (μ), Load (W), Outer dia of a collar (d0) & Inner dia of a collar (di). With our tool, you need to enter the respective value for Coefficient of Friction, Load, Outer dia of a collar & Inner dia of a collar 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 Collar Friction Torque?
In this formula, Collar Friction Torque uses Coefficient of Friction, Load, Outer dia of a collar & Inner dia of a collar. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • tensile_strength = Tensile force on plates/(Throat thickness*Length of weld)
  • strain_energy_density = 0.5*Principle Stress*Principle Strain
  • permissible_tensile_strength = Tensile force on plates/(1.414*Length of weld*Leg of the weld)
  • shear_strength_in_parallel_fillet_weld = Tensile force on plates/(0.707*Leg of the weld*Length of weld)
  • shear_stress = 3*Torque acting on rod/(Throat thickness*(Length of weld^2))
  • shear_stress = 2*Torque acting on rod/(pi*Throat thickness*Nominal Diameter^2)
  • factorofsafety = Fracture Stress/Working Stress
  • permissible_shear_stress = 1.414*Leg of the weld/Tensile force on plates
  • shaft_power = (2*pi*Speed of Rotation*Torque)
  • thickness_of_cotter = 0.31*Diameter of rod
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