Thickness of Cotter given Compressive Stress in Socket Calculator

✖Load on cotter joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts.ⓘ Load on Cotter Joint [L]			+10% -10%
✖Diameter of socket collar is the external diameter of collar of the socket of a cotter joint.ⓘ Diameter of Socket Collar [d₄]			+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%
✖Compressive Stress In Socket is the amount of stress generated into the socket due to the compressive force onto it.ⓘ Compressive Stress In Socket [σ_cso]			+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 Compressive Stress in Socket [t_c]

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Formula

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Thickness of Cotter given Compressive Stress in Socket

Formula

`"t"_{"c"} = ("L")/(("d"_{"4"}-"d"_{"2"})*"σ"_{"cso"})`

Example

`"10mm"=("50000N")/(("80mm"-"40mm")*"125N/mm²")`

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Thickness of Cotter given Compressive Stress in Socket Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thickness of Cotter = (Load on Cotter Joint)/((Diameter of Socket Collar-Diameter of Spigot)*Compressive Stress In Socket)
t_c = (L)/((d₄-d₂)*σ_cso)
This formula uses 5 Variables

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.
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.
Diameter of Socket Collar - (Measured in Meter) - Diameter of socket collar is the external diameter of collar of the socket of a cotter joint.
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.
Compressive Stress In Socket - (Measured in Pascal) - Compressive Stress In Socket is the amount of stress generated into the socket due to the compressive force onto it.

STEP 1: Convert Input(s) to Base Unit

Load on Cotter Joint: 50000 Newton --> 50000 Newton No Conversion Required
Diameter of Socket Collar: 80 Millimeter --> 0.08 Meter (Check conversion here)
Diameter of Spigot: 40 Millimeter --> 0.04 Meter (Check conversion here)
Compressive Stress In Socket: 125 Newton per Square Millimeter --> 125000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_c = (L)/((d₄-d₂)*σ_cso) --> (50000)/((0.08-0.04)*125000000)

Evaluating ... ...

t_c = 0.01

STEP 3: Convert Result to Output's Unit

0.01 Meter -->10 Millimeter (Check conversion here)

FINAL ANSWER

10 Millimeter <-- Thickness of Cotter

(Calculation completed in 00.011 seconds)

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

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< 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 Compressive Stress in Socket Formula

Thickness of Cotter = (Load on Cotter Joint)/((Diameter of Socket Collar-Diameter of Spigot)*Compressive Stress In Socket)
t_c = (L)/((d₄-d₂)*σ_cso)

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 Thickness of Cotter given Compressive Stress in Socket?

Thickness of Cotter given Compressive Stress in Socket calculator uses Thickness of Cotter = (Load on Cotter Joint)/((Diameter of Socket Collar-Diameter of Spigot)*Compressive Stress In Socket) to calculate the Thickness of Cotter, The Thickness of cotter given compressive stress in socket is the required thickness of the cotter of a cotter joint when a crushing 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 Compressive Stress in Socket using this online calculator? To use this online calculator for Thickness of Cotter given Compressive Stress in Socket, enter Load on Cotter Joint (L), Diameter of Socket Collar (d₄), Diameter of Spigot (d₂) & Compressive Stress In Socket (σ_cso) and hit the calculate button. Here is how the Thickness of Cotter given Compressive Stress in Socket calculation can be explained with given input values -> 10000 = (50000)/((0.08-0.04)*125000000).

FAQ

What is Thickness of Cotter given Compressive Stress in Socket?

The Thickness of cotter given compressive stress in socket is the required thickness of the cotter of a cotter joint when a crushing load acts onto the socket part of the cotter joint and is represented as t_c = (L)/((d₄-d₂)*σ_cso) or Thickness of Cotter = (Load on Cotter Joint)/((Diameter of Socket Collar-Diameter of Spigot)*Compressive Stress In Socket). Load on cotter joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts, Diameter of socket collar is the external diameter of collar of the socket of a cotter joint, The diameter of Spigot is defined as the diameter of the external surface of the spigot or the inner diameter of the socket & Compressive Stress In Socket is the amount of stress generated into the socket due to the compressive force onto it.

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

The Thickness of cotter given compressive stress in socket is the required thickness of the cotter of a cotter joint when a crushing load acts onto the socket part of the cotter joint is calculated using Thickness of Cotter = (Load on Cotter Joint)/((Diameter of Socket Collar-Diameter of Spigot)*Compressive Stress In Socket). To calculate Thickness of Cotter given Compressive Stress in Socket, you need Load on Cotter Joint (L), Diameter of Socket Collar (d₄), Diameter of Spigot (d₂) & Compressive Stress In Socket (σ_cso). With our tool, you need to enter the respective value for Load on Cotter Joint, Diameter of Socket Collar, Diameter of Spigot & Compressive 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 Load on Cotter Joint, Diameter of Socket Collar, Diameter of Spigot & Compressive Stress In Socket. We can use 4 other way(s) to calculate the same, which is/are as follows -

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)
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 = (2*Diameter of Socket Collar+Diameter of Spigot)*((Load on Cotter Joint)/(4*Mean Width of Cotter^2*Bending Stress in Cotter))

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