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))
σtso = L/(pi/4*(d1^2-d2^2)-tc*(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: 14 Millimeter --> 0.014 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σtso = L/(pi/4*(d1^2-d2^2)-tc*(d1-d2)) --> 50000/(pi/4*(0.054^2-0.04^2)-0.014*(0.054-0.04))
Evaluating ... ...
σtso = 59695506.3766387
STEP 3: Convert Result to Output's Unit
59695506.3766387 Pascal -->59.6955063766387 Newton per Square Millimeter (Check conversion here)
FINAL ANSWER
59.6955063766387 59.69551 Newton per Square Millimeter <-- Tensile Stress In Socket
(Calculation completed in 00.020 seconds)

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10+ 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)
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)
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)

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

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))
σtso = L/(pi/4*(d1^2-d2^2)-tc*(d1-d2))

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 σtso 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 (tc) 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 -> 5.9E-5 = 50000/(pi/4*(0.054^2-0.04^2)-0.014*(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 σtso = L/(pi/4*(d1^2-d2^2)-tc*(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 (tc). 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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