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%
✖Force on Cotter Joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts.ⓘ Force on Cotter Joint [F_c]			+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]

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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))-(Force on Cotter Joint)/Tensile Stress In Socket)/(Outside Diameter of Socket-Diameter of Spigot)
t_c = ((pi/4*(d₁^2-d₂^2))-(F_c)/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.
Force on Cotter Joint - (Measured in Newton) - Force on 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)
Force on Cotter Joint: 5000 Newton --> 5000 Newton No Conversion Required
Tensile Stress In Socket: 68.224 Newton per Square Millimeter --> 68224000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_c = ((pi/4*(d₁^2-d₂^2))-(F_c)/σ_tso)/(d₁-d₂) --> ((pi/4*(0.054^2-0.04^2))-(5000)/68224000)/(0.054-0.04)

Evaluating ... ...

t_c = 0.0685925707525523

STEP 3: Convert Result to Output's Unit

0.0685925707525523 Meter -->68.5925707525523 Millimeter (Check conversion here)

FINAL ANSWER

68.5925707525523 ≈ 68.59257 Millimeter <-- Thickness of Cotter

(Calculation completed in 00.004 seconds)

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

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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

Thickness of Cotter given Tensile Stress in Socket Formula

LaTeX Go

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))-(Force on 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), Force on Cotter Joint (F_c) & 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 -> 65482.97 = ((pi/4*(0.054^2-0.04^2))-(5000)/68224000)/(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))-(F_c)/σ_tso)/(d₁-d₂) or Thickness of Cotter = ((pi/4*(Outside Diameter of Socket^2-Diameter of Spigot^2))-(Force on 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, Force on 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))-(Force on 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), Force on Cotter Joint (F_c) & Tensile Stress In Socket (σ_tso). With our tool, you need to enter the respective value for Outside Diameter of Socket, Diameter of Spigot, Force on 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, Force on Cotter Joint & Tensile Stress In Socket. We can use 3 other way(s) to calculate the same, which is/are as follows -

Thickness of Cotter = 0.31*Diameter of Rod of Cotter Joint
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)

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