Tensile Stress in Spigot of Cotter Joint given Diameter of Spigot, Thickenss of Cotter 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%
✖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 [t_c]			+10% -10%

✖Tensile Stress In Spigot is the amount of stress generated into the spigot due to the tensile force onto it.ⓘ Tensile Stress in Spigot of Cotter Joint given Diameter of Spigot, Thickenss of Cotter and Load [σ_tsp]

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

Formula

`("σ"_{"t"}"sp") = ("L")/((pi*"d"_{"2"}^2)/4-"d"_{"2"}*"t"_{"c"})`

Example

`"71.77338N/mm²"=("50000N")/((pi*("40mm")^2)/4-"40mm"*"14mm")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Tensile Stress In Spigot = (Load on Cotter Joint)/((pi*Diameter of Spigot^2)/4-Diameter of Spigot*Thickness of Cotter)
σ_tsp = (L)/((pi*d₂^2)/4-d₂*t_c)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Tensile Stress In Spigot - (Measured in Pascal) - Tensile Stress In Spigot is the amount of stress generated into the spigot due to the tensile force onto 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 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.
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.

STEP 1: Convert Input(s) to Base Unit

Load on Cotter Joint: 50000 Newton --> 50000 Newton No Conversion Required
Diameter of Spigot: 40 Millimeter --> 0.04 Meter (Check conversion here)
Thickness of Cotter: 14 Millimeter --> 0.014 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_tsp = (L)/((pi*d₂^2)/4-d₂*t_c) --> (50000)/((pi*0.04^2)/4-0.04*0.014)

Evaluating ... ...

σ_tsp = 71773384.9774506

STEP 3: Convert Result to Output's Unit

71773384.9774506 Pascal -->71.7733849774506 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

71.7733849774506 ≈ 71.77338 Newton per Square Millimeter <-- Tensile 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 » Tensile Stress in Spigot of Cotter Joint given Diameter of Spigot, Thickenss of Cotter 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)

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

Tensile Stress In Spigot = (Load on Cotter Joint)/((pi*Diameter of Spigot^2)/4-Diameter of Spigot*Thickness of Cotter)
σ_tsp = (L)/((pi*d₂^2)/4-d₂*t_c)

What is a cotter and when is it used?

Cotter is a flat wedge-shaped metal piece that is used to connect two rods that transmit the force but without rotation. The force may be axial and of tensile or compressive nature. Cotter is fitted in the tapered slot and remains in its position because of wedge action.

How to Calculate Tensile Stress in Spigot of Cotter Joint given Diameter of Spigot, Thickenss of Cotter and Load?

Tensile Stress in Spigot of Cotter Joint given Diameter of Spigot, Thickenss of Cotter and Load calculator uses Tensile Stress In Spigot = (Load on Cotter Joint)/((pi*Diameter of Spigot^2)/4-Diameter of Spigot*Thickness of Cotter) to calculate the Tensile Stress In Spigot, Tensile stress in spigot of cotter joint given diameter of spigot, thickenss of cotter and load is the amount of tensile stress in the spigot of the cotter joint due to the tensile force trying to stretch the cotter joint axially. Tensile Stress In Spigot is denoted by σ_tsp symbol.

How to calculate Tensile Stress in Spigot of Cotter Joint given Diameter of Spigot, Thickenss of Cotter and Load using this online calculator? To use this online calculator for Tensile Stress in Spigot of Cotter Joint given Diameter of Spigot, Thickenss of Cotter and Load, enter Load on Cotter Joint (L), Diameter of Spigot (d₂) & Thickness of Cotter (t_c) and hit the calculate button. Here is how the Tensile Stress in Spigot of Cotter Joint given Diameter of Spigot, Thickenss of Cotter and Load calculation can be explained with given input values -> 6.8E-5 = (50000)/((pi*0.04^2)/4-0.04*0.014).

FAQ

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

Tensile stress in spigot of cotter joint given diameter of spigot, thickenss of cotter and load is the amount of tensile stress in the spigot of the cotter joint due to the tensile force trying to stretch the cotter joint axially and is represented as σ_tsp = (L)/((pi*d₂^2)/4-d₂*t_c) or Tensile Stress In Spigot = (Load on Cotter Joint)/((pi*Diameter of Spigot^2)/4-Diameter of Spigot*Thickness of Cotter). Load on cotter joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts, The diameter of Spigot is defined as the diameter of the external surface of the spigot or the inner diameter of the socket & Thickness of Cotter is the measure of how much broad is the cotter in direction perpendicular to axial force.

How to calculate Tensile Stress in Spigot of Cotter Joint given Diameter of Spigot, Thickenss of Cotter and Load?

Tensile stress in spigot of cotter joint given diameter of spigot, thickenss of cotter and load is the amount of tensile stress in the spigot of the cotter joint due to the tensile force trying to stretch the cotter joint axially is calculated using Tensile Stress In Spigot = (Load on Cotter Joint)/((pi*Diameter of Spigot^2)/4-Diameter of Spigot*Thickness of Cotter). To calculate Tensile Stress in Spigot of Cotter Joint given Diameter of Spigot, Thickenss of Cotter and Load, you need Load on Cotter Joint (L), Diameter of Spigot (d₂) & Thickness of Cotter (t_c). With our tool, you need to enter the respective value for Load on Cotter Joint, Diameter of Spigot & Thickness of Cotter 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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