Load Taken by Spigot of Cotter Joint given Shear Stress in Spigot Calculator

✖Gap between End of Slot to End of Spigot is the distance between the end of slot for cotter to the end of spigot opposite from its collar.ⓘ Gap between End of Slot to End of Spigot [a]			+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%
✖Shear Stress in Spigot is the amount of stress (cause deformation by slippage along a plane parallel to the imposed stress) generated into the socket due to the shear force acting on it.ⓘ Shear Stress in Spigot [τ_sp]			+10% -10%

✖Load on cotter joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts.ⓘ Load Taken by Spigot of Cotter Joint given Shear Stress in Spigot [L]

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Formula

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Load Taken by Spigot of Cotter Joint given Shear Stress in Spigot

Formula

`"L" = 2*"a"*"d"_{"2"}*"τ"_{"sp"}`

Example

`"48880N"=2*"23.5mm"*"40mm"*"26N/mm²"`

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Load Taken by Spigot of Cotter Joint given Shear Stress in Spigot Solution

STEP 0: Pre-Calculation Summary

Formula Used

Load on Cotter Joint = 2*Gap between End of Slot to End of Spigot*Diameter of Spigot*Shear Stress in Spigot
L = 2*a*d₂*τ_sp
This formula uses 4 Variables

Variables Used

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.
Gap between End of Slot to End of Spigot - (Measured in Meter) - Gap between End of Slot to End of Spigot is the distance between the end of slot for cotter to the end of spigot opposite from its collar.
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.
Shear Stress in Spigot - (Measured in Pascal) - Shear Stress in Spigot is the amount of stress (cause deformation by slippage along a plane parallel to the imposed stress) generated into the socket due to the shear force acting on it.

STEP 1: Convert Input(s) to Base Unit

Gap between End of Slot to End of Spigot: 23.5 Millimeter --> 0.0235 Meter (Check conversion here)
Diameter of Spigot: 40 Millimeter --> 0.04 Meter (Check conversion here)
Shear Stress in Spigot: 26 Newton per Square Millimeter --> 26000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = 2*a*d₂*τ_sp --> 2*0.0235*0.04*26000000

Evaluating ... ...

L = 48880

STEP 3: Convert Result to Output's Unit

48880 Newton --> No Conversion Required

FINAL ANSWER

48880 Newton <-- Load on Cotter Joint

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Design of Cotter Joint » Forces and Loads on Joint » Load Taken by Spigot of Cotter Joint given Shear Stress in Spigot

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< 8 Forces and Loads on Joint Calculators

Load Taken by Socket of Cotter Joint given Tensile Stress in Socket

Go Load on Cotter Joint = Tensile Stress In Socket*(pi/4*(Outside Diameter of Socket^2-Diameter of Spigot^2)-Thickness of Cotter*(Outside Diameter of Socket-Diameter of Spigot))

Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress

Go Load on Cotter Joint = (pi/4*Diameter of Spigot^2-Diameter of Spigot*Thickness of Cotter)*Tensile Stress In Spigot

Load Taken by Socket of Cotter Joint given Shear Stress in Socket

Go Load on Cotter Joint = 2*(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar*Shear Stress in Socket

Load Taken by Socket of Cotter Joint given Compressive Stress

Go Load on Cotter Joint = Compressive Stress In Socket*(Diameter of Socket Collar-Diameter of Spigot)*Thickness of Cotter

Load Taken by Spigot of Cotter Joint given Shear Stress in Spigot

Go Load on Cotter Joint = 2*Gap between End of Slot to End of Spigot*Diameter of Spigot*Shear Stress in Spigot

Load Taken by Cotter Joint Rod given Tensile Stress in Rod

Go Load on Cotter Joint = (pi*Diameter of Rod of Cotter Joint^2*Tensile Stress in Cotter Joint Rod)/4

Load Taken by Spigot of Cotter Joint given Compressive Stress in Spigot Considering Crushing Failure

Go Load on Cotter Joint = Thickness of Cotter*Diameter of Spigot*Compressive Stress in Spigot

Force on Cotter given Shear Stress in Cotter

Go Load on Cotter Joint = 2*Thickness of Cotter*Mean Width of Cotter*Shear Stress in Cotter

Load Taken by Spigot of Cotter Joint given Shear Stress in Spigot Formula

Load on Cotter Joint = 2*Gap between End of Slot to End of Spigot*Diameter of Spigot*Shear Stress in Spigot
L = 2*a*d₂*τ_sp

Loads supported by a cotter joint

Cotter joints are used to support axial loads between the two rods, tensile or compressive. Although a cotter joint will resist the rotation of one rod relative to the other, it should not be used to join rotating shafts. This is because the cotter will not be balanced and may work loose under the combination of vibration and centrifugal force.

How to Calculate Load Taken by Spigot of Cotter Joint given Shear Stress in Spigot?

Load Taken by Spigot of Cotter Joint given Shear Stress in Spigot calculator uses Load on Cotter Joint = 2*Gap between End of Slot to End of Spigot*Diameter of Spigot*Shear Stress in Spigot to calculate the Load on Cotter Joint, The Load taken by spigot of cotter joint given shear stress in spigot is the amount of shearing force beared by the spigot of the cotter joint at particular shear stress generated in it. Load on Cotter Joint is denoted by L symbol.

How to calculate Load Taken by Spigot of Cotter Joint given Shear Stress in Spigot using this online calculator? To use this online calculator for Load Taken by Spigot of Cotter Joint given Shear Stress in Spigot, enter Gap between End of Slot to End of Spigot (a), Diameter of Spigot (d₂) & Shear Stress in Spigot (τ_sp) and hit the calculate button. Here is how the Load Taken by Spigot of Cotter Joint given Shear Stress in Spigot calculation can be explained with given input values -> 48880 = 2*0.0235*0.04*26000000.

FAQ

What is Load Taken by Spigot of Cotter Joint given Shear Stress in Spigot?

The Load taken by spigot of cotter joint given shear stress in spigot is the amount of shearing force beared by the spigot of the cotter joint at particular shear stress generated in it and is represented as L = 2*a*d₂*τ_sp or Load on Cotter Joint = 2*Gap between End of Slot to End of Spigot*Diameter of Spigot*Shear Stress in Spigot. Gap between End of Slot to End of Spigot is the distance between the end of slot for cotter to the end of spigot opposite from its collar, The diameter of Spigot is defined as the diameter of the external surface of the spigot or the inner diameter of the socket & Shear Stress in Spigot is the amount of stress (cause deformation by slippage along a plane parallel to the imposed stress) generated into the socket due to the shear force acting on it.

How to calculate Load Taken by Spigot of Cotter Joint given Shear Stress in Spigot?

The Load taken by spigot of cotter joint given shear stress in spigot is the amount of shearing force beared by the spigot of the cotter joint at particular shear stress generated in it is calculated using Load on Cotter Joint = 2*Gap between End of Slot to End of Spigot*Diameter of Spigot*Shear Stress in Spigot. To calculate Load Taken by Spigot of Cotter Joint given Shear Stress in Spigot, you need Gap between End of Slot to End of Spigot (a), Diameter of Spigot (d₂) & Shear Stress in Spigot (τ_sp). With our tool, you need to enter the respective value for Gap between End of Slot to End of Spigot, Diameter of Spigot & Shear Stress in 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 Load on Cotter Joint?

In this formula, Load on Cotter Joint uses Gap between End of Slot to End of Spigot, Diameter of Spigot & Shear Stress in Spigot. We can use 7 other way(s) to calculate the same, which is/are as follows -

Load on Cotter Joint = (pi/4*Diameter of Spigot^2-Diameter of Spigot*Thickness of Cotter)*Tensile Stress In Spigot
Load on Cotter Joint = (pi*Diameter of Rod of Cotter Joint^2*Tensile Stress in Cotter Joint Rod)/4
Load on Cotter Joint = Tensile Stress In Socket*(pi/4*(Outside Diameter of Socket^2-Diameter of Spigot^2)-Thickness of Cotter*(Outside Diameter of Socket-Diameter of Spigot))
Load on Cotter Joint = 2*Thickness of Cotter*Mean Width of Cotter*Shear Stress in Cotter
Load on Cotter Joint = 2*(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar*Shear Stress in Socket
Load on Cotter Joint = Thickness of Cotter*Diameter of Spigot*Compressive Stress in Spigot
Load on Cotter Joint = Compressive Stress In Socket*(Diameter of Socket Collar-Diameter of Spigot)*Thickness of Cotter

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