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

✖Tensile Stress In Socket is the amount of stress generated into the socket due to the tensile force onto it.ⓘ Tensile Stress In Socket [σ_tso]			+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%

✖Load on cotter joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts.ⓘ Load Taken by Socket of Cotter Joint given Tensile Stress in Socket [L]

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Formula

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

Formula

`"L" = ("σ"_{"t"}"so")*(pi/4*("d"_{"1"}^2-"d"_{"2"}^2)-"t"_{"c"}*("d"_{"1"}-"d"_{"2"}))`

Example

`"35848.59N"="42.8N/mm²"*(pi/4*(("54mm")^2-("40mm")^2)-"14mm"*("54mm"-"40mm"))`

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
L = σ_tso*(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

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.
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.
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

Tensile Stress In Socket: 42.8 Newton per Square Millimeter --> 42800000 Pascal (Check conversion here)
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

L = σ_tso*(pi/4*(d₁^2-d₂^2)-t_c*(d₁-d₂)) --> 42800000*(pi/4*(0.054^2-0.04^2)-0.014*(0.054-0.04))

Evaluating ... ...

L = 35848.5944737286

STEP 3: Convert Result to Output's Unit

35848.5944737286 Newton --> No Conversion Required

FINAL ANSWER

35848.5944737286 ≈ 35848.59 Newton <-- Load on Cotter Joint

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Design of Cotter Joint » Forces and Loads on Joint » Load Taken by Socket of Cotter Joint given Tensile Stress in Socket

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Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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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

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

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

Load Taken by Socket of Cotter Joint given Tensile Stress in Socket calculator uses 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)) to calculate the Load on Cotter Joint, The Load taken by socket of cotter joint given tensile stress in socket is the amount of shearing force beared by the socket of the cotter joint at particular shear stress generated in it. Load on Cotter Joint is denoted by L symbol.

How to calculate Load Taken by Socket of Cotter Joint given Tensile Stress in Socket using this online calculator? To use this online calculator for Load Taken by Socket of Cotter Joint given Tensile Stress in Socket, enter Tensile Stress In Socket (σ_tso), Outside Diameter of Socket (d₁), Diameter of Spigot (d₂) & Thickness of Cotter (t_c) and hit the calculate button. Here is how the Load Taken by Socket of Cotter Joint given Tensile Stress in Socket calculation can be explained with given input values -> 35848.59 = 42800000*(pi/4*(0.054^2-0.04^2)-0.014*(0.054-0.04)).

FAQ

What is Load Taken by Socket of Cotter Joint given Tensile Stress in Socket?

The Load taken by socket of cotter joint given tensile stress in 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 L = σ_tso*(pi/4*(d₁^2-d₂^2)-t_c*(d₁-d₂)) or 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)). Tensile Stress In Socket is the amount of stress generated into the socket due to the tensile force onto it, 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 Load Taken by Socket of Cotter Joint given Tensile Stress in Socket?

The Load taken by socket of cotter joint given tensile stress in 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 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)). To calculate Load Taken by Socket of Cotter Joint given Tensile Stress in Socket, you need Tensile Stress In Socket (σ_tso), 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 Tensile Stress In Socket, 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.

How many ways are there to calculate Load on Cotter Joint?

In this formula, Load on Cotter Joint uses Tensile Stress In Socket, Outside Diameter of Socket, Diameter of Spigot & Thickness of Cotter. We can use 7 other way(s) to calculate the same, which is/are as follows -

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