Thickness of Cotter given Tensile Stress in Socket Calculator

✖Outside Diameter of Socket is the diameter (twice the radius) of the outer surface of the socket.ⓘ Outside Diameter of Socket [d₁]			+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 [d₂]			+10% -10%
✖Load at cotter joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts.ⓘ Load at Cotter Joint [L_cot]			+10% -10%
✖Tensile Stress In Socket is the amount of stress generated into the socket due to the tensile force onto it.ⓘ Tensile Stress In Socket [σ_tso]			+10% -10%

✖Thickness of Cotter is the measure of how much broad is the cotter in direction perpendicular to axial force.ⓘ Thickness of Cotter given Tensile Stress in Socket [t_c]

⎘ Copy

👎

Formula

✖

Thickness of Cotter given Tensile Stress in Socket

Formula

`"t"_{"c"} = ((pi/4*("d"_{"1"}^2-"d"_{"2"}^2))-("L"_{"cot"})/("σ"_{"t"}"so"))/("d"_{"1"}-"d"_{"2"})`

Example

`"65.48297mm"=((pi/4*(("54mm")^2-("40mm")^2))-("5000N")/"42.8N/mm²")/("54mm"-"40mm")`

Calculator

LaTeX

Reset

👍

Download Joint Geometry and Dimensions Formulas PDF

Thickness of Cotter given Tensile Stress in Socket Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
t_c = ((pi/4*(d₁^2-d₂^2))-(L_cot)/σ_tso)/(d₁-d₂)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Outside Diameter of Socket - (Measured in Meter) - Outside Diameter of Socket is the diameter (twice the radius) of the outer surface of the socket.
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 at Cotter Joint - (Measured in Newton) - Load at cotter joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts.
Tensile Stress In Socket - (Measured in Pascal) - Tensile Stress In Socket is the amount of stress generated into the socket due to the tensile force onto it.

STEP 1: Convert Input(s) to Base Unit

Outside Diameter of Socket: 54 Millimeter --> 0.054 Meter (Check conversion here)
Diameter of Spigot: 40 Millimeter --> 0.04 Meter (Check conversion here)
Load at Cotter Joint: 5000 Newton --> 5000 Newton No Conversion Required
Tensile Stress In Socket: 42.8 Newton per Square Millimeter --> 42800000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_c = ((pi/4*(d₁^2-d₂^2))-(L_cot)/σ_tso)/(d₁-d₂) --> ((pi/4*(0.054^2-0.04^2))-(5000)/42800000)/(0.054-0.04)

Evaluating ... ...

t_c = 0.0654829680803214

STEP 3: Convert Result to Output's Unit

0.0654829680803214 Meter -->65.4829680803214 Millimeter (Check conversion here)

FINAL ANSWER

65.4829680803214 ≈ 65.48297 Millimeter <-- Thickness of Cotter

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Design of Machine Elements » Design of Coupling » Design of Cotter Joint » Joint Geometry and Dimensions » Thickness of Cotter given Tensile Stress in Socket

Credits

Created by Saurabh Patil

Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

Saurabh Patil has created this Calculator and 700+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ 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

Thickness of Cotter given Tensile Stress in Socket Formula

What is a spigot?

Spigot is the male part of the cotter joint, it has a rectangular slot for passing the cotter through it. The spigot has a collar that rests against the socket end.

How to Calculate Thickness of Cotter given Tensile Stress in Socket?

Thickness of Cotter given Tensile Stress in Socket calculator uses 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) to calculate the Thickness of Cotter, The Thickness of cotter given tensile stress in socket is the required thickness of the cotter of a cotter joint when a tensile load acts onto the socket part of the cotter joint. Thickness of Cotter is denoted by t_c symbol.

How to calculate Thickness of Cotter given Tensile Stress in Socket using this online calculator? To use this online calculator for Thickness of Cotter given Tensile Stress in Socket, enter Outside Diameter of Socket (d₁), Diameter of Spigot (d₂), Load at Cotter Joint (L_cot) & Tensile Stress In Socket (σ_tso) and hit the calculate button. Here is how the Thickness of Cotter given Tensile Stress in Socket calculation can be explained with given input values -> -9617.165431 = ((pi/4*(0.054^2-0.04^2))-(5000)/42800000)/(0.054-0.04).

FAQ

What is Thickness of Cotter given Tensile Stress in Socket?

The Thickness of cotter given tensile stress in socket is the required thickness of the cotter of a cotter joint when a tensile load acts onto the socket part of the cotter joint and is represented as t_c = ((pi/4*(d₁^2-d₂^2))-(L_cot)/σ_tso)/(d₁-d₂) or 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). Outside Diameter of Socket is the diameter (twice the radius) of the outer surface of the socket, The diameter of Spigot is defined as the diameter of the external surface of the spigot or the inner diameter of the socket, Load at cotter joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts & Tensile Stress In Socket is the amount of stress generated into the socket due to the tensile force onto it.

How to calculate Thickness of Cotter given Tensile Stress in Socket?

The Thickness of cotter given tensile stress in socket is the required thickness of the cotter of a cotter joint when a tensile load acts onto the socket part of the cotter joint is calculated using 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). To calculate Thickness of Cotter given Tensile Stress in Socket, you need Outside Diameter of Socket (d₁), Diameter of Spigot (d₂), Load at Cotter Joint (L_cot) & Tensile Stress In Socket (σ_tso). With our tool, you need to enter the respective value for Outside Diameter of Socket, Diameter of Spigot, Load at Cotter Joint & Tensile Stress In Socket 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 Thickness of Cotter?

In this formula, Thickness of Cotter uses Outside Diameter of Socket, Diameter of Spigot, Load at Cotter Joint & Tensile Stress In Socket. We can use 4 other way(s) to calculate the same, which is/are as follows -

Thickness of Cotter = (Load on Cotter Joint)/(2*Shear Stress in Cotter*Mean Width of Cotter)
Thickness of Cotter = (Load on Cotter Joint)/(Compressive Stress in Spigot*Diameter of Spigot)
Thickness of Cotter = (Load on Cotter Joint)/((Diameter of Socket Collar-Diameter of Spigot)*Compressive Stress In Socket)
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))

Home

FREE PDFs

🔍 Search