Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Load on Cotter Joint = (pi/4*Diameter of Spigot^2-Diameter of Spigot*Thickness of Cotter)*Tensile Stress In Spigot
L = (pi/4*d2^2-d2*tc)*σtsp
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Diameter of Spigot: 40 Millimeter --> 0.04 Meter (Check conversion here)
Thickness of Cotter: 14 Millimeter --> 0.014 Meter (Check conversion here)
Tensile Stress In Spigot: 45.5 Newton per Square Millimeter --> 45500000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = (pi/4*d2^2-d2*tc)*σtsp --> (pi/4*0.04^2-0.04*0.014)*45500000
Evaluating ... ...
L = 31696.9862953342
STEP 3: Convert Result to Output's Unit
31696.9862953342 Newton --> No Conversion Required
FINAL ANSWER
31696.9862953342 31696.99 Newton <-- Load on Cotter Joint
(Calculation completed in 00.004 seconds)

Credits

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8 Forces and Loads on Joint Calculators

Load Taken by Socket of Cotter Joint given Tensile Stress in Socket
Go Load on Cotter Joint = Tensile Stress In Socket*(pi/4*(Outside Diameter of Socket^2-Diameter of Spigot^2)-Thickness of Cotter*(Outside Diameter of Socket-Diameter of Spigot))
Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress
Go Load on Cotter Joint = (pi/4*Diameter of Spigot^2-Diameter of Spigot*Thickness of Cotter)*Tensile Stress In Spigot
Load Taken by Socket of Cotter Joint given Shear Stress in Socket
Go Load on Cotter Joint = 2*(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar*Shear Stress in Socket
Load Taken by Socket of Cotter Joint given Compressive Stress
Go Load on Cotter Joint = Compressive Stress In Socket*(Diameter of Socket Collar-Diameter of Spigot)*Thickness of Cotter
Load Taken by Spigot of Cotter Joint given Shear Stress in Spigot
Go Load on Cotter Joint = 2*Gap between End of Slot to End of Spigot*Diameter of Spigot*Shear Stress in Spigot
Load Taken by Cotter Joint Rod given Tensile Stress in Rod
Go Load on Cotter Joint = (pi*Diameter of Rod of Cotter Joint^2*Tensile Stress in Cotter Joint Rod)/4
Load Taken by Spigot of Cotter Joint given Compressive Stress in Spigot Considering Crushing Failure
Go Load on Cotter Joint = Thickness of Cotter*Diameter of Spigot*Compressive Stress in Spigot
Force on Cotter given Shear Stress in Cotter
Go Load on Cotter Joint = 2*Thickness of Cotter*Mean Width of Cotter*Shear Stress in Cotter

Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress Formula

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

Cotter Joint

A cotter joint, also known as a socket and spigot joint, is a method of temporarily joining two coaxial rods. One rod is fitted with a spigot, which fits inside a socket on one end of the other rod. Cotter joints are used to support axial loads between the two rods, tensile or compressive.

How to Calculate Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress?

Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress calculator uses Load on Cotter Joint = (pi/4*Diameter of Spigot^2-Diameter of Spigot*Thickness of Cotter)*Tensile Stress In Spigot to calculate the Load on Cotter Joint, Maximum load taken by cotter joint given spigot diameter, thickness and stress is the maximum tensile force by which a cotter joined can be pulled. Load on Cotter Joint is denoted by L symbol.

How to calculate Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress using this online calculator? To use this online calculator for Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress, enter Diameter of Spigot (d2), Thickness of Cotter (tc) & Tensile Stress In Spigot tsp) and hit the calculate button. Here is how the Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress calculation can be explained with given input values -> 31696.99 = (pi/4*0.04^2-0.04*0.014)*45500000.

FAQ

What is Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress?
Maximum load taken by cotter joint given spigot diameter, thickness and stress is the maximum tensile force by which a cotter joined can be pulled and is represented as L = (pi/4*d2^2-d2*tc)*σtsp or Load on Cotter Joint = (pi/4*Diameter of Spigot^2-Diameter of Spigot*Thickness of Cotter)*Tensile Stress In Spigot. 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 & Tensile Stress In Spigot is the amount of stress generated into the spigot due to the tensile force onto it.
How to calculate Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress?
Maximum load taken by cotter joint given spigot diameter, thickness and stress is the maximum tensile force by which a cotter joined can be pulled is calculated using Load on Cotter Joint = (pi/4*Diameter of Spigot^2-Diameter of Spigot*Thickness of Cotter)*Tensile Stress In Spigot. To calculate Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress, you need Diameter of Spigot (d2), Thickness of Cotter (tc) & Tensile Stress In Spigot tsp). With our tool, you need to enter the respective value for Diameter of Spigot, Thickness of Cotter & Tensile Stress In Spigot and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Load on Cotter Joint?
In this formula, Load on Cotter Joint uses Diameter of Spigot, Thickness of Cotter & Tensile Stress In Spigot. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • Load on Cotter Joint = (pi*Diameter of Rod of Cotter Joint^2*Tensile Stress in Cotter Joint Rod)/4
  • Load on Cotter Joint = Tensile Stress In Socket*(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 = 2*Thickness of Cotter*Mean Width of Cotter*Shear Stress in Cotter
  • Load on Cotter Joint = 2*Gap between End of Slot to End of Spigot*Diameter of Spigot*Shear Stress in Spigot
  • Load on Cotter Joint = 2*(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar*Shear Stress in Socket
  • Load on Cotter Joint = Thickness of Cotter*Diameter of Spigot*Compressive Stress in Spigot
  • Load on Cotter Joint = Compressive Stress In Socket*(Diameter of Socket Collar-Diameter of Spigot)*Thickness of Cotter
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