Diameter of Socket Collar of Cotter Joint given Compressive Stress Calculator

✖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 [d₂]			+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%

✖Diameter of socket collar is the external diameter of collar of the socket of a cotter joint.ⓘ Diameter of Socket Collar of Cotter Joint given Compressive Stress [d₄]

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Diameter of Socket Collar of Cotter Joint given Compressive Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Socket Collar = Diameter of Spigot+(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot)
d₄ = d₂+(L)/(t_c*σ_c1)
This formula uses 5 Variables

Variables Used

Diameter of Socket Collar - (Measured in Meter) - Diameter of socket collar is the external diameter of collar of the socket of a cotter joint.
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.
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 Spigot: 40 Millimeter --> 0.04 Meter (Check conversion here)
Load on Cotter Joint: 50000 Newton --> 50000 Newton No Conversion Required
Thickness of Cotter: 21.478 Millimeter --> 0.021478 Meter (Check conversion here)
Compressive Stress in Spigot: 58.2 Newton per Square Millimeter --> 58200000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₄ = d₂+(L)/(t_c*σ_c1) --> 0.04+(50000)/(0.021478*58200000)

Evaluating ... ...

d₄ = 0.0799993728098343

STEP 3: Convert Result to Output's Unit

0.0799993728098343 Meter -->79.9993728098343 Millimeter (Check conversion here)

FINAL ANSWER

79.9993728098343 ≈ 79.99937 Millimeter <-- Diameter of Socket Collar

(Calculation completed in 00.007 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Design of Cotter Joint » Mechanical » Joint Geometry and Dimensions » Diameter of Socket Collar of Cotter Joint given Compressive Stress

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< Joint Geometry and Dimensions Calculators

Diameter of Spigot of Cotter Joint given Compressive Stress

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

Diameter of Spigot of Cotter Joint given Shear Stress in Spigot

LaTeX 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

LaTeX Go Diameter of Spigot = Load on Cotter Joint/(Crushing Stress induced in Cotter*Thickness of Cotter)

Diameter of Spigot Collar given Rod Diameter

LaTeX Go Diameter of Spigot Collar = 1.5*Diameter of Rod of Cotter Joint

Diameter of Socket Collar of Cotter Joint given Compressive Stress Formula

LaTeX Go

Diameter of Socket Collar = Diameter of Spigot+(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot)
d₄ = d₂+(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 Socket Collar of Cotter Joint given Compressive Stress?

Diameter of Socket Collar of Cotter Joint given Compressive Stress calculator uses Diameter of Socket Collar = Diameter of Spigot+(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot) to calculate the Diameter of Socket Collar, The Diameter of socket collar of cotter joint given compressive stress is defined as diameter of collar of the socket of a cotter joint when the socket is subjected to crushing stress. Diameter of Socket Collar is denoted by d₄ symbol.

How to calculate Diameter of Socket Collar of Cotter Joint given Compressive Stress using this online calculator? To use this online calculator for Diameter of Socket Collar of Cotter Joint given Compressive Stress, enter Diameter of Spigot (d₂), 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 Socket Collar of Cotter Joint given Compressive Stress calculation can be explained with given input values -> 58773.9 = 0.04+(50000)/(0.021478*58200000).

FAQ

What is Diameter of Socket Collar of Cotter Joint given Compressive Stress?

The Diameter of socket collar of cotter joint given compressive stress is defined as diameter of collar of the socket of a cotter joint when the socket is subjected to crushing stress and is represented as d₄ = d₂+(L)/(t_c*σ_c1) or Diameter of Socket Collar = Diameter of Spigot+(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot). 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 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 Socket Collar of Cotter Joint given Compressive Stress?

The Diameter of socket collar of cotter joint given compressive stress is defined as diameter of collar of the socket of a cotter joint when the socket is subjected to crushing stress is calculated using Diameter of Socket Collar = Diameter of Spigot+(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot). To calculate Diameter of Socket Collar of Cotter Joint given Compressive Stress, you need Diameter of Spigot (d₂), 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 Spigot, 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 Socket Collar?

In this formula, Diameter of Socket Collar uses Diameter of Spigot, Load on Cotter Joint, Thickness of Cotter & Compressive Stress in Spigot. We can use 3 other way(s) to calculate the same, which is/are as follows -

Diameter of Socket Collar = 2.4*Diameter of Rod of Cotter Joint
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
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

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