Thickness of Cotter given Compressive Stress in Spigot 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%
✖Compressive Stress in Spigot is the amount of stress generated into the spigot due to the compressive force on it.ⓘ Compressive Stress in Spigot [σ_c1]			+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%

✖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 Spigot [t_c]

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Formula

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Thickness of Cotter given Compressive Stress in Spigot

Formula

`"t"_{"c"} = ("L")/("σ"_{"c1"}*"d"_{"2"})`

Example

`"10.08065mm"=("50000N")/("124N/mm²"*"40mm")`

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Thickness of Cotter given Compressive Stress in Spigot Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thickness of Cotter = (Load on Cotter Joint)/(Compressive Stress in Spigot*Diameter of Spigot)
t_c = (L)/(σ_c1*d₂)
This formula uses 4 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.
Compressive Stress in Spigot - (Measured in Pascal) - Compressive Stress in Spigot is the amount of stress generated into the spigot due to the compressive force on it.
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.

STEP 1: Convert Input(s) to Base Unit

Load on Cotter Joint: 50000 Newton --> 50000 Newton No Conversion Required
Compressive Stress in Spigot: 124 Newton per Square Millimeter --> 124000000 Pascal (Check conversion here)
Diameter of Spigot: 40 Millimeter --> 0.04 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_c = (L)/(σ_c1*d₂) --> (50000)/(124000000*0.04)

Evaluating ... ...

t_c = 0.0100806451612903

STEP 3: Convert Result to Output's Unit

0.0100806451612903 Meter -->10.0806451612903 Millimeter (Check conversion here)

FINAL ANSWER

10.0806451612903 ≈ 10.08065 Millimeter <-- Thickness of Cotter

(Calculation completed in 00.004 seconds)

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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 Spigot Formula

Thickness of Cotter = (Load on Cotter Joint)/(Compressive Stress in Spigot*Diameter of Spigot)
t_c = (L)/(σ_c1*d₂)

Why is the cotter given a taper?

Generally, the value of taper on cotter is 1 in 48 to 1 in 24 and it provides mainly two benefits: First, this tapper is easy to remove and makes disassembling of joint a simple process. Second, the tapper also ensures the tightness of the joints and prevents the parts from loosening.

How to Calculate Thickness of Cotter given Compressive Stress in Spigot?

Thickness of Cotter given Compressive Stress in Spigot calculator uses Thickness of Cotter = (Load on Cotter Joint)/(Compressive Stress in Spigot*Diameter of Spigot) to calculate the Thickness of Cotter, Thickness of cotter given compressive stress in spigot is the required thickness of the cotter of a cotter joint when a crushing load acts onto the spigot part of the cotter joint. Thickness of Cotter is denoted by t_c symbol.

How to calculate Thickness of Cotter given Compressive Stress in Spigot using this online calculator? To use this online calculator for Thickness of Cotter given Compressive Stress in Spigot, enter Load on Cotter Joint (L), Compressive Stress in Spigot (σ_c1) & Diameter of Spigot (d₂) and hit the calculate button. Here is how the Thickness of Cotter given Compressive Stress in Spigot calculation can be explained with given input values -> 10080.65 = (50000)/(124000000*0.04).

FAQ

What is Thickness of Cotter given Compressive Stress in Spigot?

Thickness of cotter given compressive stress in spigot is the required thickness of the cotter of a cotter joint when a crushing load acts onto the spigot part of the cotter joint and is represented as t_c = (L)/(σ_c1*d₂) or Thickness of Cotter = (Load on Cotter Joint)/(Compressive Stress in Spigot*Diameter of Spigot). Load on cotter joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts, Compressive Stress in Spigot is the amount of stress generated into the spigot due to the compressive force on it & The diameter of Spigot is defined as the diameter of the external surface of the spigot or the inner diameter of the socket.

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

Thickness of cotter given compressive stress in spigot is the required thickness of the cotter of a cotter joint when a crushing load acts onto the spigot part of the cotter joint is calculated using Thickness of Cotter = (Load on Cotter Joint)/(Compressive Stress in Spigot*Diameter of Spigot). To calculate Thickness of Cotter given Compressive Stress in Spigot, you need Load on Cotter Joint (L), Compressive Stress in Spigot (σ_c1) & Diameter of Spigot (d₂). With our tool, you need to enter the respective value for Load on Cotter Joint, Compressive Stress in Spigot & Diameter of 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 Thickness of Cotter?

In this formula, Thickness of Cotter uses Load on Cotter Joint, Compressive Stress in Spigot & Diameter of Spigot. 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)/((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))

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