Thickness of Cotter Joint Solution

STEP 0: Pre-Calculation Summary
Formula Used
Thickness of Cotter = 0.31*Diameter of Rod of Cotter Joint
Tc = 0.31*d
This formula uses 2 Variables
Variables Used
Thickness of Cotter - (Measured in Meter) - Thickness of Cotter is the measure of how much broad is the cotter in direction perpendicular to axial force.
Diameter of Rod of Cotter Joint - (Measured in Meter) - Diameter of Rod of Cotter Joint is defined as the length of the longest chord passing across the rod of a cotter joint end.
STEP 1: Convert Input(s) to Base Unit
Diameter of Rod of Cotter Joint: 31 Millimeter --> 0.031 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tc = 0.31*d --> 0.31*0.031
Evaluating ... ...
Tc = 0.00961
STEP 3: Convert Result to Output's Unit
0.00961 Meter -->9.61 Millimeter (Check conversion here)
FINAL ANSWER
9.61 Millimeter <-- Thickness of Cotter
(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad
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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

25 Joint Geometry and Dimensions Calculators

Thickness of Cotter given Tensile Stress in Socket
Go Thickness of Cotter = ((pi/4*(Outside Diameter of Socket^2-Diameter of Spigot^2))-(Load at Cotter Joint)/Tensile Stress In Socket)/(Outside Diameter of Socket-Diameter of Spigot)
Width of Cotter by Bending Consideration
Go Mean Width of Cotter = (3*Load on Cotter Joint/(Thickness of Cotter*Bending Stress in Cotter)*(Diameter of Spigot/4+(Diameter of Socket Collar-Diameter of Spigot)/6))^0.5
Thickness of Cotter Joint given Bending Stress in Cotter
Go Thickness of Cotter = (2*Diameter of Socket Collar+Diameter of Spigot)*((Load on Cotter Joint)/(4*Mean Width of Cotter^2*Bending Stress in Cotter))
Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter
Go Diameter of Socket Collar = (4*Mean Width of Cotter^2*Bending Stress in Cotter*(Thickness of Cotter)/Load on Cotter Joint-Diameter of Spigot)/2
Diameter of Spigot of Cotter Joint given Bending Stress in Cotter
Go Diameter of Spigot = 4*Mean Width of Cotter^2*Bending Stress in Cotter*(Thickness of Cotter)/Load on Cotter Joint-2*Diameter of Socket Collar
Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket
Go Diameter of Spigot = Diameter of Socket Collar-(Load on Cotter Joint)/(2*Axial Distance From Slot to End of Socket Collar*Shear Stress in Socket)
Diameter of socket collar of cotter joint given shear stress in socket
Go Diameter of Socket Collar = (Load on Cotter Joint)/(2*Axial Distance From Slot to End of Socket Collar*Shear Stress in Socket)+Diameter of Spigot
Thickness of Cotter given Compressive Stress in Socket
Go Thickness of Cotter = (Load on Cotter Joint)/((Diameter of Socket Collar-Diameter of Spigot)*Compressive Stress In Socket)
Diameter of Socket Collar of Cotter Joint given Compressive Stress
Go Diameter of Socket Collar = Diameter of Spigot+(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot)
Diameter of Spigot of Cotter Joint given Compressive Stress
Go Diameter of Spigot = Diameter of Socket Collar-(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot)
Minimum Rod Diameter in Cotter Joint given Axial Tensile Force and Stress
Go Diameter of Rod of Cotter Joint = sqrt((4*Load on Cotter Joint)/(Tensile Stress in Cotter Joint Rod*pi))
Cross Section Area of Spigot of Cotter Joint Prone to Failure
Go Cross Sectional Area of Spigot = (pi*Diameter of Spigot^2)/4-Diameter of Spigot*Thickness of Cotter
Diameter of Spigot of Cotter Joint given Shear Stress in Spigot
Go Diameter of Spigot = (Load on Cotter Joint)/(2*Gap between End of Slot to End of Spigot*Shear Stress in Spigot)
Minimum Diameter of Spigot in Cotter Joint Subjected to Crushing Stress
Go Diameter of Spigot = Load on Cotter Joint/(Crushing Stress induced in Cotter*Thickness of Cotter)
Thickness of Cotter given Compressive Stress in Spigot
Go Thickness of Cotter = (Load on Cotter Joint)/(Compressive Stress in Spigot*Diameter of Spigot)
Thickness of Cotter given Shear Stress in Cotter
Go Thickness of Cotter = (Load on Cotter Joint)/(2*Shear Stress in Cotter*Mean Width of Cotter)
Width of Cotter by Shear Consideration
Go Mean Width of Cotter = Shear Force on Cotter/(2*Shear Stress in Cotter*Thickness of Cotter)
Diameter of Rod of Cotter Joint given Thickness of Spigot Collar
Go Diameter of Rod of Cotter Joint = Thickness of Spigot Collar/(0.45)
Thickness of Spigot Collar when Rod Diameter is Available
Go Thickness of Spigot Collar = 0.45*Diameter of Rod of Cotter Joint
Diameter of Rod of Cotter Joint given Spigot Collar Diameter
Go Diameter of Rod of Cotter Joint = Diameter of Spigot Collar/1.5
Diameter of Rod of Cotter Joint given Socket Collar Diameter
Go Diameter of Rod of Cotter Joint = Diameter of Socket Collar/2.4
Diameter of Spigot Collar given Rod Diameter
Go Diameter of Spigot Collar = 1.5*Diameter of Rod of Cotter Joint
Diameter of Socket Collar given Rod Diameter
Go Diameter of Socket Collar = 2.4*Diameter of Rod of Cotter Joint
Diameter of Rod of Cotter Joint given Thickness of Cotter
Go Diameter of Rod of Cotter Joint = Thickness of Cotter/(0.31)
Thickness of Cotter Joint
Go Thickness of Cotter = 0.31*Diameter of Rod of Cotter Joint

Thickness of Cotter Joint Formula

Thickness of Cotter = 0.31*Diameter of Rod of Cotter Joint
Tc = 0.31*d

Define a Cotter joint?

A cotter is a flat wedge-shaped piece of steel. This is used to connect rigidly two rods that transmit motion in the axial direction, without rotation. These joints may be subjected to tensile or compressive forces along the axes of the rods.

How to Calculate Thickness of Cotter Joint?

Thickness of Cotter Joint calculator uses Thickness of Cotter = 0.31*Diameter of Rod of Cotter Joint to calculate the Thickness of Cotter, The Thickness of Cotter joint formula is used to connect two rods subjected to axial tensile or compressive loads. It has uniform thickness and the width dimension is given a slight taper. Thickness of Cotter is denoted by Tc symbol.

How to calculate Thickness of Cotter Joint using this online calculator? To use this online calculator for Thickness of Cotter Joint, enter Diameter of Rod of Cotter Joint (d) and hit the calculate button. Here is how the Thickness of Cotter Joint calculation can be explained with given input values -> 9610 = 0.31*0.031.

FAQ

What is Thickness of Cotter Joint?
The Thickness of Cotter joint formula is used to connect two rods subjected to axial tensile or compressive loads. It has uniform thickness and the width dimension is given a slight taper and is represented as Tc = 0.31*d or Thickness of Cotter = 0.31*Diameter of Rod of Cotter Joint. Diameter of Rod of Cotter Joint is defined as the length of the longest chord passing across the rod of a cotter joint end.
How to calculate Thickness of Cotter Joint?
The Thickness of Cotter joint formula is used to connect two rods subjected to axial tensile or compressive loads. It has uniform thickness and the width dimension is given a slight taper is calculated using Thickness of Cotter = 0.31*Diameter of Rod of Cotter Joint. To calculate Thickness of Cotter Joint, you need Diameter of Rod of Cotter Joint (d). With our tool, you need to enter the respective value for Diameter of Rod of Cotter Joint 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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