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Created by Saurabh Patil
Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore
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## Load taken by spigot of cotter joint given shear stress in spigot Solution

STEP 0: Pre-Calculation Summary
Formula Used
Load = (2*(Gap between End of Slot to End of Spigot)*Diameter of Spigot*(Shear Stress in Spigot))
L = (2*(a)*d2*(τ))
This formula uses 3 Variables
Variables Used
Gap between End of Slot to End of Spigot - Gap between End of Slot to End of Spigot is the distance between the end of slot for cotter to the end of spigot opposite from its collar. (Measured in Millimeter)
Diameter of Spigot - The diameter of Spigot is defined as the diameter of the external surface of the spigot or the inner diameter of the socket. (Measured in Millimeter)
Shear Stress in Spigot - Shear Stress in Spigot is the amount of stress (cause deformation by slippage along a plane parallel to the imposed stress) generated into the socket due to the shear force acting on it. (Measured in Newton per Square Millimeter)
STEP 1: Convert Input(s) to Base Unit
Gap between End of Slot to End of Spigot: 8 Millimeter --> 0.008 Meter (Check conversion here)
Diameter of Spigot: 45 Millimeter --> 0.045 Meter (Check conversion here)
Shear Stress in Spigot: 14 Newton per Square Millimeter --> 14000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = (2*(a)*d2*(τ)) --> (2*(0.008)*0.045*(14000000))
Evaluating ... ...
L = 10080
STEP 3: Convert Result to Output's Unit
10080 Newton --> No Conversion Required
(Calculation completed in 00.016 seconds)

## < 10+ Design of Cotter Joint Calculators

Width of cotter by bending consideration
Mean Width of Cotter = (((3*Load/(Thickness of cotter*Bending Stress in Cotter))*((Diameter of Spigot/4)+((Diameter of Socket Collar-Diameter of Spigot)/6))))^0.5 Go
Maximum load taken by cotter joint given spigot diameter, thickness and stress
Load = (((pi/4)*(Diameter of Spigot)^2)-(Diameter of Spigot*Thickness of cotter))*Permissible tensile stress Go
Minimum Rod diameter in cotter joint given axial tensile force and stress
Diameter of rod = sqrt((4*Axial tensile or compressive force)/(Permissible tensile stress*pi)) Go
Minimum Diameter of spigot in cotter joint subjected to crushing stress
Diameter of Spigot = Axial tensile or compressive force/(Crushing stress induced in cotter*Thickness of cotter) Go
Width of cotter by shear consideration
Mean Width of Cotter = Shear Force on Section/(2*Allowable shear stress*Thickness of cotter) Go
Load taken by cotter joint rod given tensile stress in rod
Load = (pi*(Diameter of rod^2)*Tensile Stress In Rod)/4 Go
Tensile stress in rod of cotter joint
Tensile Stress In Rod = (4*Load)/(pi*Diameter of rod^2) Go
Thickness of spigot collar when rod diameter is available
Thickness of Spigot Collar = 0.45*Diameter of rod Go
Diameter of spigot collar given rod diameter
Diameter of Spigot Collar = 1.5*Diameter of rod Go
Diameter of socket collar given rod diameter
Diameter of Socket Collar = 2.4*Diameter of rod Go

### Load taken by spigot of cotter joint given shear stress in spigot Formula

Load = (2*(Gap between End of Slot to End of Spigot)*Diameter of Spigot*(Shear Stress in Spigot))
L = (2*(a)*d2*(τ))

## Loads supported by a cotter joint

Cotter joints are used to support axial loads between the two rods, tensile or compressive. Although a cotter joint will resist the rotation of one rod relative to the other, it should not be used to join rotating shafts. This is because the cotter will not be balanced and may work loose under the combination of vibration and centrifugal force.

## How to Calculate Load taken by spigot of cotter joint given shear stress in spigot?

Load taken by spigot of cotter joint given shear stress in spigot calculator uses Load = (2*(Gap between End of Slot to End of Spigot)*Diameter of Spigot*(Shear Stress in Spigot)) to calculate the Load, The Load taken by spigot of cotter joint given shear stress in spigot is the amount of shearing force beared by the spigot of the cotter joint at particular shear stress generated in it. Load is denoted by L symbol.

How to calculate Load taken by spigot of cotter joint given shear stress in spigot using this online calculator? To use this online calculator for Load taken by spigot of cotter joint given shear stress in spigot, enter Gap between End of Slot to End of Spigot (a), Diameter of Spigot (d2) & Shear Stress in Spigot (τ) and hit the calculate button. Here is how the Load taken by spigot of cotter joint given shear stress in spigot calculation can be explained with given input values -> 10080 = (2*(0.008)*0.045*(14000000)).

### FAQ

What is Load taken by spigot of cotter joint given shear stress in spigot?
The Load taken by spigot of cotter joint given shear stress in spigot is the amount of shearing force beared by the spigot of the cotter joint at particular shear stress generated in it and is represented as L = (2*(a)*d2*(τ)) or Load = (2*(Gap between End of Slot to End of Spigot)*Diameter of Spigot*(Shear Stress in Spigot)). Gap between End of Slot to End of Spigot is the distance between the end of slot for cotter to the end of spigot opposite from its collar, The diameter of Spigot is defined as the diameter of the external surface of the spigot or the inner diameter of the socket & Shear Stress in Spigot is the amount of stress (cause deformation by slippage along a plane parallel to the imposed stress) generated into the socket due to the shear force acting on it.
How to calculate Load taken by spigot of cotter joint given shear stress in spigot?
The Load taken by spigot of cotter joint given shear stress in spigot is the amount of shearing force beared by the spigot of the cotter joint at particular shear stress generated in it is calculated using Load = (2*(Gap between End of Slot to End of Spigot)*Diameter of Spigot*(Shear Stress in Spigot)). To calculate Load taken by spigot of cotter joint given shear stress in spigot, you need Gap between End of Slot to End of Spigot (a), Diameter of Spigot (d2) & Shear Stress in Spigot (τ). With our tool, you need to enter the respective value for Gap between End of Slot to End of Spigot, Diameter of Spigot & Shear 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?
In this formula, Load uses Gap between End of Slot to End of Spigot, Diameter of Spigot & Shear Stress in Spigot. We can use 7 other way(s) to calculate the same, which is/are as follows -
• Load = (((pi/4)*(Diameter of Spigot)^2)-(Diameter of Spigot*Thickness of cotter))*Permissible tensile stress
• Load = (pi*(Diameter of rod^2)*Tensile Stress In Rod)/4
• Load = (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 = (2*(Thickness of cotter)*Mean Width of Cotter*(Shear Stress in Cotter))
• Load = 2*(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar*(Shear Stress in Socket)
• Load = (Compressive Stress In Socket)*(Diameter of Socket Collar-Diameter of Spigot)*Thickness of cotter
• Load = (Thickness of cotter*Diameter of Spigot*(Compressive Stress In Spigot))
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