Minimum Diameter of Spigot in Cotter Joint Subjected to Crushing Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Spigot = Load on Cotter Joint/(Crushing Stress induced in Cotter*Thickness of Cotter)
d2 = L/(σc*tc)
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.
Crushing Stress induced in Cotter - (Measured in Pascal) - Crushing stress induced in cotter is the amount of internal resisting force induced per unit cross-sectional area.
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.
STEP 1: Convert Input(s) to Base Unit
Load on Cotter Joint: 50000 Newton --> 50000 Newton No Conversion Required
Crushing Stress induced in Cotter: 126 Newton per Square Millimeter --> 126000000 Pascal (Check conversion here)
Thickness of Cotter: 14 Millimeter --> 0.014 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d2 = L/(σc*tc) --> 50000/(126000000*0.014)
Evaluating ... ...
d2 = 0.0283446712018141
STEP 3: Convert Result to Output's Unit
0.0283446712018141 Meter -->28.3446712018141 Millimeter (Check conversion here)
FINAL ANSWER
28.3446712018141 28.34467 Millimeter <-- Diameter of Spigot
(Calculation completed in 00.004 seconds)

Credits

Created by Vivek Gaikwad
AISSMS College of Engineering, Pune (AISSMSCOE, Pune), Pune
Vivek Gaikwad has created this Calculator and 25+ more calculators!
Verified by Peri Krishna Karthik
National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala
Peri Krishna Karthik has verified this Calculator and 8 more calculators!

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

Minimum Diameter of Spigot in Cotter Joint Subjected to Crushing Stress Formula

Diameter of Spigot = Load on Cotter Joint/(Crushing Stress induced in Cotter*Thickness of Cotter)
d2 = L/(σc*tc)

What is crushing stress?

Crushing stress induced in cotter is the amount of internal resisting force induced per unit cross-sectional area.

How to Calculate Minimum Diameter of Spigot in Cotter Joint Subjected to Crushing Stress?

Minimum Diameter of Spigot in Cotter Joint Subjected to Crushing Stress calculator uses Diameter of Spigot = Load on Cotter Joint/(Crushing Stress induced in Cotter*Thickness of Cotter) to calculate the Diameter of Spigot, Minimum Diameter of spigot in cotter joint subjected to crushing stress is the diameter that spigot is required to posses in order to sustain crushing stress. Diameter of Spigot is denoted by d2 symbol.

How to calculate Minimum Diameter of Spigot in Cotter Joint Subjected to Crushing Stress using this online calculator? To use this online calculator for Minimum Diameter of Spigot in Cotter Joint Subjected to Crushing Stress, enter Load on Cotter Joint (L), Crushing Stress induced in Cotter c) & Thickness of Cotter (tc) and hit the calculate button. Here is how the Minimum Diameter of Spigot in Cotter Joint Subjected to Crushing Stress calculation can be explained with given input values -> 28344.67 = 50000/(126000000*0.014).

FAQ

What is Minimum Diameter of Spigot in Cotter Joint Subjected to Crushing Stress?
Minimum Diameter of spigot in cotter joint subjected to crushing stress is the diameter that spigot is required to posses in order to sustain crushing stress and is represented as d2 = L/(σc*tc) or Diameter of Spigot = Load on Cotter Joint/(Crushing Stress induced in Cotter*Thickness of Cotter). Load on cotter joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts, Crushing stress induced in cotter is the amount of internal resisting force induced per unit cross-sectional area & Thickness of Cotter is the measure of how much broad is the cotter in direction perpendicular to axial force.
How to calculate Minimum Diameter of Spigot in Cotter Joint Subjected to Crushing Stress?
Minimum Diameter of spigot in cotter joint subjected to crushing stress is the diameter that spigot is required to posses in order to sustain crushing stress is calculated using Diameter of Spigot = Load on Cotter Joint/(Crushing Stress induced in Cotter*Thickness of Cotter). To calculate Minimum Diameter of Spigot in Cotter Joint Subjected to Crushing Stress, you need Load on Cotter Joint (L), Crushing Stress induced in Cotter c) & Thickness of Cotter (tc). With our tool, you need to enter the respective value for Load on Cotter Joint, Crushing Stress induced in Cotter & Thickness of Cotter 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, Crushing Stress induced in Cotter & Thickness of Cotter. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Diameter of Spigot = (Load on Cotter Joint)/(2*Gap between End of Slot to End of Spigot*Shear Stress in Spigot)
  • 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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