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)/(tc*σc1)
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: 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
d2 = d4-(L)/(tcc1) --> 0.08-(50000)/(0.021478*58200000)
Evaluating ... ...
d2 = 0.0400006271901657
STEP 3: Convert Result to Output's Unit
0.0400006271901657 Meter -->40.0006271901657 Millimeter (Check conversion ​here)
FINAL ANSWER
40.0006271901657 40.00063 Millimeter <-- Diameter of Spigot
(Calculation completed in 00.004 seconds)

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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 Spigot of Cotter Joint given Compressive Stress Formula

​LaTeX ​Go
Diameter of Spigot = Diameter of Socket Collar-(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot)
d2 = d4-(L)/(tc*σc1)

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 (tc) & Compressive Stress in Spigot 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 -> 61226.1 = 0.08-(50000)/(0.021478*58200000).

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)/(tcc1) 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 (tc) & Compressive Stress in Spigot 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 3 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
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