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

✖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 [σ_tsp]			+10% -10%

✖Load on cotter joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts.ⓘ Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress [L]

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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*t_c)*σ_tsp
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: 21.478 Millimeter --> 0.021478 Meter (Check conversion here)
Tensile Stress In Spigot: 125.783 Newton per Square Millimeter --> 125783000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = (pi/4*d₂^2-d₂*t_c)*σ_tsp --> (pi/4*0.04^2-0.04*0.021478)*125783000

Evaluating ... ...

L = 50000.888538594

STEP 3: Convert Result to Output's Unit

50000.888538594 Newton --> No Conversion Required

FINAL ANSWER

50000.888538594 ≈ 50000.89 Newton <-- Load on Cotter Joint

(Calculation completed in 00.008 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Design of Cotter Joint » Mechanical » Forces and Loads on Joint » Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress

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< Forces and Loads on Joint Calculators

Load Taken by Socket of Cotter Joint given Tensile Stress in Socket

LaTeX 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

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

Load Taken by Cotter Joint Rod given Tensile Stress in Rod

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

Force on Cotter given Shear Stress in Cotter

LaTeX 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

LaTeX Go

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*t_c)*σ_tsp

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 (t_c) & Tensile Stress In Spigot (σ_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 -> 18087.03 = (pi/4*0.04^2-0.04*0.021478)*125783000.

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*t_c)*σ_tsp 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 (t_c) & Tensile Stress In Spigot (σ_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 3 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

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