Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load 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%
✖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 of Cotter Joint given Diameter of Spigot and Load [τ_sp]

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Formula

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

Formula

`"τ"_{"sp"} = ("L")/(2*"a"*"d"_{"2"})`

Example

`"26.59574N/mm²"=("50000N")/(2*"23.5mm"*"40mm")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Load on Cotter Joint: 50000 Newton --> 50000 Newton No Conversion Required
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ_sp = (L)/(2*a*d₂) --> (50000)/(2*0.0235*0.04)

Evaluating ... ...

τ_sp = 26595744.6808511

STEP 3: Convert Result to Output's Unit

26595744.6808511 Pascal -->26.5957446808511 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

26.5957446808511 ≈ 26.59574 Newton per Square Millimeter <-- Shear Stress in Spigot

(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 Spigot of Cotter Joint given Diameter of Spigot and Load

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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 Spigot of Cotter Joint given Diameter of Spigot and Load Formula

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

What is a spigot?

Spigot is the male part of the cotter joint, it has a rectangular slot for passing the cotter through it. The spigot has a collar that rests against the socket end.

How to Calculate Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load?

Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load calculator uses Shear Stress in Spigot = (Load on Cotter Joint)/(2*Gap between End of Slot to End of Spigot*Diameter of Spigot) to calculate the Shear Stress in Spigot, The Shear stress in spigot of cotter joint given diameter of spigot and load is the amount of shear stress in the spigot of the cotter joint due to the shearing force trying to break or fracture the spigot in a plane parallel to cotter joint's axis. Shear Stress in Spigot is denoted by τ_sp symbol.

How to calculate Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load using this online calculator? To use this online calculator for Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load, enter Load on Cotter Joint (L), Gap between End of Slot to End of Spigot (a) & Diameter of Spigot (d₂) and hit the calculate button. Here is how the Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load calculation can be explained with given input values -> 2.7E-5 = (50000)/(2*0.0235*0.04).

FAQ

What is Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load?

The Shear stress in spigot of cotter joint given diameter of spigot and load is the amount of shear stress in the spigot of the cotter joint due to the shearing force trying to break or fracture the spigot in a plane parallel to cotter joint's axis and is represented as τ_sp = (L)/(2*a*d₂) or Shear Stress in Spigot = (Load on Cotter Joint)/(2*Gap between End of Slot to End of 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, 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.

How to calculate Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load?

The Shear stress in spigot of cotter joint given diameter of spigot and load is the amount of shear stress in the spigot of the cotter joint due to the shearing force trying to break or fracture the spigot in a plane parallel to cotter joint's axis is calculated using Shear Stress in Spigot = (Load on Cotter Joint)/(2*Gap between End of Slot to End of Spigot*Diameter of Spigot). To calculate Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load, you need Load on Cotter Joint (L), Gap between End of Slot to End of Spigot (a) & Diameter of Spigot (d₂). With our tool, you need to enter the respective value for Load on Cotter Joint, Gap between End of Slot to End of 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.

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