Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of 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%
✖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 of Cotter Joint given Inner and Outer Diameter of Socket [τ_so]

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Formula

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Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket

Formula

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

Example

`"28.40909N/mm²"=("50000N")/(2*("80mm"-"40mm")*"22mm")`

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Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress in Socket = (Load on Cotter Joint)/(2*(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar)
τ_so = (L)/(2*(d₄-d₂)*c)
This formula uses 5 Variables

Variables Used

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.
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.

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)
Axial Distance From Slot to End of Socket Collar: 22 Millimeter --> 0.022 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ_so = (L)/(2*(d₄-d₂)*c) --> (50000)/(2*(0.08-0.04)*0.022)

Evaluating ... ...

τ_so = 28409090.9090909

STEP 3: Convert Result to Output's Unit

28409090.9090909 Pascal -->28.4090909090909 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

28.4090909090909 ≈ 28.40909 Newton per Square Millimeter <-- Shear Stress in Socket

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Design of Cotter Joint » Strength and Stress » Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket

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

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< 13 Strength and Stress Calculators

Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket

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

Bending Stress in Cotter of Cotter Joint

Go Bending Stress in Cotter = (3*Load on Cotter Joint/(Thickness of Cotter*Mean Width of Cotter^2))*((Diameter of Spigot+2*Diameter of Socket Collar)/12)

Tensile Stress in Spigot of Cotter Joint given Diameter of Spigot, Thickenss of Cotter and Load

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

Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket

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

Tensile Stress in Spigot

Go Tensile Stress = Tensile Force on Rods/((pi/4*Diameter of Spigot^(2))-(Diameter of Spigot*Thickness of Cotter))

Compressive Stress in Socket of Cotter Joint given Diameter of Spigot and of Socket Collar

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

Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load

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

Tensile Stress in Rod of Cotter Joint

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

Compressive Stress in Spigot of Cotter Joint Considering Crushing Failure

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

Permissible Shear Stress for Cotter

Go Permissible Shear Stress = Tensile Force on Rods/(2*Mean Width of Cotter*Thickness of Cotter)

Shear Stress in Cotter given Cotter Thickness and Width

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

Compressive Stress of Spigot

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

Permissible Shear Stress for Spigot

Go Permissible Shear Stress = Tensile Force on Rods/(2*Spigot Distance*Diameter of Spigot)

Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket Formula

Shear Stress in Socket = (Load on Cotter Joint)/(2*(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar)
τ_so = (L)/(2*(d₄-d₂)*c)

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 Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket?

Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket calculator uses Shear Stress in Socket = (Load on Cotter Joint)/(2*(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar) to calculate the Shear Stress in Socket, Shear stress in socket of cotter joint given inner and outer diameter of socket is the amount of shear stress in the socket of the cotter joint due to the shearing force trying to break or fracture the socket in a plane parallel to cotter joint's axis. Shear Stress in Socket is denoted by τ_so symbol.

How to calculate Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket using this online calculator? To use this online calculator for Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket, enter Load on Cotter Joint (L), Diameter of Socket Collar (d₄), Diameter of Spigot (d₂) & Axial Distance From Slot to End of Socket Collar (c) and hit the calculate button. Here is how the Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket calculation can be explained with given input values -> 2.8E-5 = (50000)/(2*(0.08-0.04)*0.022).

FAQ

What is Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket?

Shear stress in socket of cotter joint given inner and outer diameter of socket is the amount of shear stress in the socket of the cotter joint due to the shearing force trying to break or fracture the socket in a plane parallel to cotter joint's axis and is represented as τ_so = (L)/(2*(d₄-d₂)*c) or Shear Stress in Socket = (Load on Cotter Joint)/(2*(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar). 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 & 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.

How to calculate Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket?

Shear stress in socket of cotter joint given inner and outer diameter of socket is the amount of shear stress in the socket of the cotter joint due to the shearing force trying to break or fracture the socket in a plane parallel to cotter joint's axis is calculated using Shear Stress in Socket = (Load on Cotter Joint)/(2*(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar). To calculate Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket, you need Load on Cotter Joint (L), Diameter of Socket Collar (d₄), Diameter of Spigot (d₂) & Axial Distance From Slot to End of Socket Collar (c). With our tool, you need to enter the respective value for Load on Cotter Joint, Diameter of Socket Collar, Diameter of Spigot & Axial Distance From Slot to End of Socket Collar and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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