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

✖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%
✖Axial Distance From Slot to End of Socket Collar is the distance between the slot for cotter to the end of socket collar measured along the socket axis.ⓘ Axial Distance From Slot to End of Socket Collar [c]			+10% -10%
✖Shear Stress in Socket 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 Socket [τ_so]			+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 Socket of Cotter Joint given Shear Stress in Socket [L]

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Formula

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

Formula

`"L" = 2*("d"_{"4"}-"d"_{"2"})*"c"*"τ"_{"so"}`

Example

`"44000N"=2*("80mm"-"40mm")*"22mm"*"25N/mm²"`

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Download Forces and Loads on Joint Formulas PDF

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

STEP 0: Pre-Calculation Summary

Formula Used

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
L = 2*(d₄-d₂)*c*τ_so
This formula uses 5 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.
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.
Axial Distance From Slot to End of Socket Collar - (Measured in Meter) - Axial Distance From Slot to End of Socket Collar is the distance between the slot for cotter to the end of socket collar measured along the socket axis.
Shear Stress in Socket - (Measured in Pascal) - Shear Stress in Socket 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

Diameter of Socket Collar: 80 Millimeter --> 0.08 Meter (Check conversion here)
Diameter of Spigot: 40 Millimeter --> 0.04 Meter (Check conversion here)
Axial Distance From Slot to End of Socket Collar: 22 Millimeter --> 0.022 Meter (Check conversion here)
Shear Stress in Socket: 25 Newton per Square Millimeter --> 25000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = 2*(d₄-d₂)*c*τ_so --> 2*(0.08-0.04)*0.022*25000000

Evaluating ... ...

L = 44000

STEP 3: Convert Result to Output's Unit

44000 Newton --> No Conversion Required

FINAL ANSWER

44000 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 Socket of Cotter Joint given Shear Stress in Socket

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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 Socket of Cotter Joint given Shear Stress in Socket Formula

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
L = 2*(d₄-d₂)*c*τ_so

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 Socket of Cotter Joint given Shear Stress in Socket?

Load Taken by Socket of Cotter Joint given Shear Stress in Socket calculator uses 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 to calculate the Load on Cotter Joint, Load taken by socket of cotter joint given shear stress in socket is the amount of shearing force beared by the socket 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 Socket of Cotter Joint given Shear Stress in Socket using this online calculator? To use this online calculator for Load Taken by Socket of Cotter Joint given Shear Stress in Socket, enter Diameter of Socket Collar (d₄), Diameter of Spigot (d₂), Axial Distance From Slot to End of Socket Collar (c) & Shear Stress in Socket (τ_so) and hit the calculate button. Here is how the Load Taken by Socket of Cotter Joint given Shear Stress in Socket calculation can be explained with given input values -> 44000 = 2*(0.08-0.04)*0.022*25000000.

FAQ

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

Load taken by socket of cotter joint given shear stress in socket is the amount of shearing force beared by the socket of the cotter joint at particular shear stress generated in it and is represented as L = 2*(d₄-d₂)*c*τ_so or 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. 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, Axial Distance From Slot to End of Socket Collar is the distance between the slot for cotter to the end of socket collar measured along the socket axis & Shear Stress in Socket 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 Socket of Cotter Joint given Shear Stress in Socket?

Load taken by socket of cotter joint given shear stress in socket is the amount of shearing force beared by the socket of the cotter joint at particular shear stress generated in it is calculated using 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. To calculate Load Taken by Socket of Cotter Joint given Shear Stress in Socket, you need Diameter of Socket Collar (d₄), Diameter of Spigot (d₂), Axial Distance From Slot to End of Socket Collar (c) & Shear Stress in Socket (τ_so). With our tool, you need to enter the respective value for Diameter of Socket Collar, Diameter of Spigot, Axial Distance From Slot to End of Socket Collar & Shear 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 Load on Cotter Joint?

In this formula, Load on Cotter Joint uses Diameter of Socket Collar, Diameter of Spigot, Axial Distance From Slot to End of Socket Collar & Shear Stress in Socket. 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*Gap between End of Slot to End of Spigot*Diameter of Spigot*Shear Stress in Spigot
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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