Tensile Stress in Socket of Cotter Joint given Outer and Inner 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%
✖Outside Diameter of Socket is the diameter (twice the radius) of the outer surface of the socket.ⓘ Outside Diameter of Socket [d₁]			+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 Socket is the amount of stress generated into the socket due to the tensile force onto it.ⓘ Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket [σ_tso]

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
σ_tso = L/(pi/4*(d₁^2-d₂^2)-t_c*(d₁-d₂))
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Tensile Stress In Socket - (Measured in Pascal) - Tensile Stress In Socket is the amount of stress generated into the socket 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.
Outside Diameter of Socket - (Measured in Meter) - Outside Diameter of Socket is the diameter (twice the radius) of the outer surface of the socket.
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
Outside Diameter of Socket: 54 Millimeter --> 0.054 Meter (Check conversion here)
Diameter of Spigot: 40 Millimeter --> 0.04 Meter (Check conversion here)
Thickness of Cotter: 21.478 Millimeter --> 0.021478 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_tso = L/(pi/4*(d₁^2-d₂^2)-t_c*(d₁-d₂)) --> 50000/(pi/4*(0.054^2-0.04^2)-0.021478*(0.054-0.04))

Evaluating ... ...

σ_tso = 68222877.5285733

STEP 3: Convert Result to Output's Unit

68222877.5285733 Pascal -->68.2228775285733 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

68.2228775285733 ≈ 68.22288 Newton per Square Millimeter <-- Tensile 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 » Mechanical » Strength and Stress » Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket

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< Strength and Stress Calculators

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

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

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

LaTeX 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

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

Shear Stress in Cotter given Cotter Thickness and Width

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

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

LaTeX Go

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 Socket of Cotter Joint given Outer and Inner Diameter of Socket?

Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket calculator uses 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)) to calculate the Tensile Stress In Socket, The Tensile stress in socket of cotter joint given outer and inner diameter of socket is the amount of shearing force beared by the socket of the cotter joint at particular shear stress generated in it. Tensile Stress In Socket is denoted by σ_tso symbol.

How to calculate Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket using this online calculator? To use this online calculator for Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket, enter Load on Cotter Joint (L), Outside Diameter of Socket (d₁), Diameter of Spigot (d₂) & Thickness of Cotter (t_c) and hit the calculate button. Here is how the Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket calculation can be explained with given input values -> 6.8E-5 = 50000/(pi/4*(0.054^2-0.04^2)-0.021478*(0.054-0.04)).

FAQ

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

The Tensile stress in socket of cotter joint given outer and inner diameter of 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 σ_tso = L/(pi/4*(d₁^2-d₂^2)-t_c*(d₁-d₂)) or 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)). Load on cotter joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts, Outside Diameter of Socket is the diameter (twice the radius) of the outer surface of the socket, 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 Socket of Cotter Joint given Outer and Inner Diameter of Socket?

The Tensile stress in socket of cotter joint given outer and inner diameter of 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 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)). To calculate Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket, you need Load on Cotter Joint (L), Outside Diameter of Socket (d₁), Diameter of Spigot (d₂) & Thickness of Cotter (t_c). With our tool, you need to enter the respective value for Load on Cotter Joint, Outside Diameter of Socket, 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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