Diameter of Spigot of Cotter Joint given Compressive Stress Calculator

✖Diameter of socket collar is the external diameter of collar of the socket of a cotter joint.ⓘ Diameter of Socket Collar [d₄]			+10% -10%
✖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%
✖Thickness of Cotter is the measure of how much broad is the cotter in direction perpendicular to axial force.ⓘ Thickness of Cotter [t_c]			+10% -10%
✖Compressive Stress in Spigot is the amount of stress generated into the spigot due to the compressive force on it.ⓘ Compressive Stress in Spigot [σ_c1]			+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 Compressive Stress [d₂]

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Formula

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Diameter of Spigot of Cotter Joint given Compressive Stress

Formula

`"d"_{"2"} = "d"_{"4"}-("L")/("t"_{"c"}*"σ"_{"c1"})`

Example

`"51.19816mm"="80mm"-("50000N")/("14mm"*"124N/mm²")`

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Diameter of Spigot of Cotter Joint given Compressive Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Spigot = Diameter of Socket Collar-(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot)
d₂ = d₄-(L)/(t_c*σ_c1)
This formula uses 5 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.
Diameter of Socket Collar - (Measured in Meter) - Diameter of socket collar is the external diameter of collar of the socket of a cotter joint.
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.
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.
Compressive Stress in Spigot - (Measured in Pascal) - Compressive Stress in Spigot is the amount of stress generated into the spigot due to the compressive force on it.

STEP 1: Convert Input(s) to Base Unit

Diameter of Socket Collar: 80 Millimeter --> 0.08 Meter (Check conversion here)
Load on Cotter Joint: 50000 Newton --> 50000 Newton No Conversion Required
Thickness of Cotter: 14 Millimeter --> 0.014 Meter (Check conversion here)
Compressive Stress in Spigot: 124 Newton per Square Millimeter --> 124000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₂ = d₄-(L)/(t_c*σ_c1) --> 0.08-(50000)/(0.014*124000000)

Evaluating ... ...

d₂ = 0.0511981566820277

STEP 3: Convert Result to Output's Unit

0.0511981566820277 Meter -->51.1981566820277 Millimeter (Check conversion here)

FINAL ANSWER

51.1981566820277 ≈ 51.19816 Millimeter <-- Diameter of Spigot

(Calculation completed in 00.020 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 Compressive Stress

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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 Compressive Stress Formula

Diameter of Spigot = Diameter of Socket Collar-(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot)
d₂ = d₄-(L)/(t_c*σ_c1)

What is a socket?

Socket is the female part of the cotter joint, it also has a rectangular slot for passing the cotter through it. It has a circular hole in which the spigot fits.

How to Calculate Diameter of Spigot of Cotter Joint given Compressive Stress?

Diameter of Spigot of Cotter Joint given Compressive Stress calculator uses Diameter of Spigot = Diameter of Socket Collar-(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot) to calculate the Diameter of Spigot, The Diameter of spigot of cotter joint given compressive stress is the required diameter of the spigot of a cotter joint when a crushing force acts onto the spigot. Diameter of Spigot is denoted by d₂ symbol.

How to calculate Diameter of Spigot of Cotter Joint given Compressive Stress using this online calculator? To use this online calculator for Diameter of Spigot of Cotter Joint given Compressive Stress, enter Diameter of Socket Collar (d₄), Load on Cotter Joint (L), Thickness of Cotter (t_c) & Compressive Stress in Spigot (σ_c1) and hit the calculate button. Here is how the Diameter of Spigot of Cotter Joint given Compressive Stress calculation can be explained with given input values -> 51198.16 = 0.08-(50000)/(0.014*124000000).

FAQ

What is Diameter of Spigot of Cotter Joint given Compressive Stress?

The Diameter of spigot of cotter joint given compressive stress is the required diameter of the spigot of a cotter joint when a crushing force acts onto the spigot and is represented as d₂ = d₄-(L)/(t_c*σ_c1) or Diameter of Spigot = Diameter of Socket Collar-(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot). Diameter of socket collar is the external diameter of collar of the socket of a cotter joint, Load on cotter joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts, Thickness of Cotter is the measure of how much broad is the cotter in direction perpendicular to axial force & Compressive Stress in Spigot is the amount of stress generated into the spigot due to the compressive force on it.

How to calculate Diameter of Spigot of Cotter Joint given Compressive Stress?

The Diameter of spigot of cotter joint given compressive stress is the required diameter of the spigot of a cotter joint when a crushing force acts onto the spigot is calculated using Diameter of Spigot = Diameter of Socket Collar-(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot). To calculate Diameter of Spigot of Cotter Joint given Compressive Stress, you need Diameter of Socket Collar (d₄), Load on Cotter Joint (L), Thickness of Cotter (t_c) & Compressive Stress in Spigot (σ_c1). With our tool, you need to enter the respective value for Diameter of Socket Collar, Load on Cotter Joint, Thickness of Cotter & Compressive 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 Diameter of Socket Collar, Load on Cotter Joint, Thickness of Cotter & Compressive 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 = (Load on Cotter Joint)/(2*Gap between End of Slot to End of Spigot*Shear 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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