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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)/(Thickness of cotter*Compressive Stress In Spigot))
d4 = (d2)+((L)/(tc*σc))
This formula uses 4 Variables
Variables Used
Diameter of Spigot - The diameter of Spigot is defined as the diameter of the external surface of the spigot or the inner diameter of the socket. (Measured in Millimeter)
Load - Load is basically the amount of load/force any material, product, joint, can bear or is acted upon or exerts. (Measured in Newton)
Thickness of cotter - Thickness of cotter is the measure of how much broad is the cotter in direction perpendicular to axial force. (Measured in Millimeter)
Compressive Stress In Spigot - Compressive Stress In Spigot is the amount of stress generated into the spigot due to the compressive force on it. (Measured in Newton per Square Millimeter)
STEP 1: Convert Input(s) to Base Unit
Diameter of Spigot: 45 Millimeter --> 0.045 Meter (Check conversion here)
Load: 5250 Newton --> 5250 Newton No Conversion Required
Thickness of cotter: 10 Millimeter --> 0.01 Meter (Check conversion here)
Compressive Stress In Spigot: 40 Newton per Square Millimeter --> 40000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d4 = (d2)+((L)/(tcc)) --> (0.045)+((5250)/(0.01*40000000))
Evaluating ... ...
d4 = 0.058125
STEP 3: Convert Result to Output's Unit
0.058125 Meter -->58.125 Millimeter (Check conversion here)
FINAL ANSWER
58.125 Millimeter <-- Diameter of Socket Collar
(Calculation completed in 00.016 seconds)

10+ Design of Cotter Joint Calculators

Width of cotter by bending consideration
Mean Width of Cotter = (((3*Load/(Thickness of cotter*Bending Stress in Cotter))*((Diameter of Spigot/4)+((Diameter of Socket Collar-Diameter of Spigot)/6))))^0.5 Go
Maximum load taken by cotter joint given spigot diameter, thickness and stress
Load = (((pi/4)*(Diameter of Spigot)^2)-(Diameter of Spigot*Thickness of cotter))*Permissible tensile stress Go
Minimum Rod diameter in cotter joint given axial tensile force and stress
Diameter of rod = sqrt((4*Axial tensile or compressive force)/(Permissible tensile stress*pi)) Go
Minimum Diameter of spigot in cotter joint subjected to crushing stress
Diameter of Spigot = Axial tensile or compressive force/(Crushing stress induced in cotter*Thickness of cotter) Go
Width of cotter by shear consideration
Mean Width of Cotter = Shear Force on Section/(2*Allowable shear stress*Thickness of cotter) Go
Load taken by cotter joint rod given tensile stress in rod
Load = (pi*(Diameter of rod^2)*Tensile Stress In Rod)/4 Go
Tensile stress in rod of cotter joint
Tensile Stress In Rod = (4*Load)/(pi*Diameter of rod^2) Go
Thickness of spigot collar when rod diameter is available
Thickness of Spigot Collar = 0.45*Diameter of rod Go
Diameter of spigot collar given rod diameter
Diameter of Spigot Collar = 1.5*Diameter of rod Go
Diameter of socket collar given rod diameter
Diameter of Socket Collar = 2.4*Diameter of rod Go

Diameter of socket collar of cotter joint given compressive stress Formula

Diameter of Socket Collar = (Diameter of Spigot)+((Load)/(Thickness of cotter*Compressive Stress In Spigot))
d4 = (d2)+((L)/(tc*σc))

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)/(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 (L), Thickness of cotter (tc) & Compressive Stress In Spigot c) 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 -> 58.125 = (0.045)+((5250)/(0.01*40000000)).

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)/(tc*σc)) or Diameter of Socket Collar = (Diameter of Spigot)+((Load)/(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 is basically the amount of load/force any material, product, 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)/(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 (L), Thickness of cotter (tc) & Compressive Stress In Spigot c). With our tool, you need to enter the respective value for Diameter of Spigot, Load, 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, 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
  • Diameter of Socket Collar = ((Load)/(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)-(Diameter of Spigot))/2
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