Diameter of Spigot of Cotter Joint given Shear Stress in Spigot Calculator

✖Load on cotter joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts.ⓘ Load on Cotter Joint [L]			+10% -10%
✖Gap between End of Slot to End of Spigot is the distance between the end of slot for cotter to the end of spigot opposite from its collar.ⓘ Gap between End of Slot to End of Spigot [a]			+10% -10%
✖Shear Stress in Spigot is the amount of stress (cause deformation by slippage along a plane parallel to the imposed stress) generated into the socket due to the shear force acting on it.ⓘ Shear Stress in Spigot [τ_sp]			+10% -10%

✖The diameter of Spigot is defined as the diameter of the external surface of the spigot or the inner diameter of the socket.ⓘ Diameter of Spigot of Cotter Joint given Shear Stress in Spigot [d₂]

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Formula

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Diameter of Spigot of Cotter Joint given Shear Stress in Spigot

Formula

`"d"_{"2"} = ("L")/(2*"a"*"τ"_{"sp"})`

Example

`"40.91653mm"=("50000N")/(2*"23.5mm"*"26N/mm²")`

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Diameter of Spigot of Cotter Joint given Shear Stress in Spigot Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Spigot = (Load on Cotter Joint)/(2*Gap between End of Slot to End of Spigot*Shear Stress in Spigot)
d₂ = (L)/(2*a*τ_sp)
This formula uses 4 Variables

Variables Used

Diameter of Spigot - (Measured in Meter) - The diameter of Spigot is defined as the diameter of the external surface of the spigot or the inner diameter of the socket.
Load on Cotter Joint - (Measured in Newton) - Load on cotter joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts.
Gap between End of Slot to End of Spigot - (Measured in Meter) - Gap between End of Slot to End of Spigot is the distance between the end of slot for cotter to the end of spigot opposite from its collar.
Shear Stress in Spigot - (Measured in Pascal) - Shear Stress in Spigot is the amount of stress (cause deformation by slippage along a plane parallel to the imposed stress) generated into the socket due to the shear force acting on it.

STEP 1: Convert Input(s) to Base Unit

Load on Cotter Joint: 50000 Newton --> 50000 Newton No Conversion Required
Gap between End of Slot to End of Spigot: 23.5 Millimeter --> 0.0235 Meter (Check conversion here)
Shear Stress in Spigot: 26 Newton per Square Millimeter --> 26000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₂ = (L)/(2*a*τ_sp) --> (50000)/(2*0.0235*26000000)

Evaluating ... ...

d₂ = 0.0409165302782324

STEP 3: Convert Result to Output's Unit

0.0409165302782324 Meter -->40.9165302782324 Millimeter (Check conversion here)

FINAL ANSWER

40.9165302782324 ≈ 40.91653 Millimeter <-- Diameter of Spigot

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Design of Cotter Joint » Joint Geometry and Dimensions » Diameter of Spigot of Cotter Joint given Shear Stress in Spigot

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< 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

Diameter of Spigot of Cotter Joint given Shear Stress in Spigot Formula

Diameter of Spigot = (Load on Cotter Joint)/(2*Gap between End of Slot to End of Spigot*Shear Stress in Spigot)
d₂ = (L)/(2*a*τ_sp)

Loads supported by a cotter joint.

Cotter joints are used to support axial loads between the two rods, tensile or compressive. Although a cotter joint will resist the rotation of one rod relative to the other, it should not be used to join rotating shafts. This is because the cotter will not be balanced and may work loose under the combination of vibration and centrifugal force.

How to Calculate Diameter of Spigot of Cotter Joint given Shear Stress in Spigot?

Diameter of Spigot of Cotter Joint given Shear Stress in Spigot calculator uses Diameter of Spigot = (Load on Cotter Joint)/(2*Gap between End of Slot to End of Spigot*Shear Stress in Spigot) to calculate the Diameter of Spigot, Diameter of spigot of cotter joint given shear stress in spigot is the required diameter of the spigot of the cotter joint when a shearing force acts onto the spigot. Diameter of Spigot is denoted by d₂ symbol.

How to calculate Diameter of Spigot of Cotter Joint given Shear Stress in Spigot using this online calculator? To use this online calculator for Diameter of Spigot of Cotter Joint given Shear Stress in Spigot, enter Load on Cotter Joint (L), Gap between End of Slot to End of Spigot (a) & Shear Stress in Spigot (τ_sp) and hit the calculate button. Here is how the Diameter of Spigot of Cotter Joint given Shear Stress in Spigot calculation can be explained with given input values -> 40916.53 = (50000)/(2*0.0235*26000000).

FAQ

What is Diameter of Spigot of Cotter Joint given Shear Stress in Spigot?

Diameter of spigot of cotter joint given shear stress in spigot is the required diameter of the spigot of the cotter joint when a shearing force acts onto the spigot and is represented as d₂ = (L)/(2*a*τ_sp) or Diameter of Spigot = (Load on Cotter Joint)/(2*Gap between End of Slot to End of Spigot*Shear Stress in Spigot). Load on cotter joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts, Gap between End of Slot to End of Spigot is the distance between the end of slot for cotter to the end of spigot opposite from its collar & Shear Stress in Spigot is the amount of stress (cause deformation by slippage along a plane parallel to the imposed stress) generated into the socket due to the shear force acting on it.

How to calculate Diameter of Spigot of Cotter Joint given Shear Stress in Spigot?

Diameter of spigot of cotter joint given shear stress in spigot is the required diameter of the spigot of the cotter joint when a shearing force acts onto the spigot is calculated using Diameter of Spigot = (Load on Cotter Joint)/(2*Gap between End of Slot to End of Spigot*Shear Stress in Spigot). To calculate Diameter of Spigot of Cotter Joint given Shear Stress in Spigot, you need Load on Cotter Joint (L), Gap between End of Slot to End of Spigot (a) & Shear Stress in Spigot (τ_sp). With our tool, you need to enter the respective value for Load on Cotter Joint, Gap between End of Slot to End of Spigot & Shear Stress in Spigot 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 Diameter of Spigot?

In this formula, Diameter of Spigot uses Load on Cotter Joint, Gap between End of Slot to End of Spigot & Shear Stress in Spigot. We can use 4 other way(s) to calculate the same, which is/are as follows -

Diameter of Spigot = Load on Cotter Joint/(Crushing Stress induced in Cotter*Thickness of Cotter)
Diameter of Spigot = Diameter of Socket Collar-(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot)
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
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)

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