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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 compressive stress in spigot considering crushing failure Solution

STEP 0: Pre-Calculation Summary
Formula Used
Load = (Thickness of cotter*Diameter of Spigot*(Compressive Stress In Spigot))
L = (tc*d2*(σc))
This formula uses 3 Variables
Variables Used
Thickness of cotter - Thickness of cotter is the measure of how much broad is the cotter in direction perpendicular to axial force. (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)
Compressive Stress In Spigot - Compressive Stress In Spigot is the amount of stress generated into the spigot due to the compressive force on it. (Measured in Newton per Square Millimeter)
STEP 1: Convert Input(s) to Base Unit
Thickness of cotter: 10 Millimeter --> 0.01 Meter (Check conversion here)
Diameter of Spigot: 45 Millimeter --> 0.045 Meter (Check conversion here)
Compressive Stress In Spigot: 40 Newton per Square Millimeter --> 40000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = (tc*d2*(σc)) --> (0.01*0.045*(40000000))
Evaluating ... ...
L = 18000
STEP 3: Convert Result to Output's Unit
18000 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 compressive stress in spigot considering crushing failure Formula

Load = (Thickness of cotter*Diameter of Spigot*(Compressive Stress In Spigot))
L = (tc*d2*(σc))

## Why is the cotter given a taper?

Generally, the value of taper on cotter is 1 in 48 to 1 in 24 and it provides mainly two benefits: First, this tapper is easy to remove and makes disassembling of joint a simple process. Second, the tapper also ensures the tightness of the joints and prevents the parts from loosening.

## How to Calculate Load taken by spigot of cotter joint given compressive stress in spigot considering crushing failure?

Load taken by spigot of cotter joint given compressive stress in spigot considering crushing failure calculator uses Load = (Thickness of cotter*Diameter of Spigot*(Compressive Stress In Spigot)) to calculate the Load, Load taken by spigot of cotter joint given compressive stress in spigot considering crushing failure is the amount of force beared by the spigot of the cotter joint at particular crushing stress generated in it. Load is denoted by L symbol.

How to calculate Load taken by spigot of cotter joint given compressive stress in spigot considering crushing failure using this online calculator? To use this online calculator for Load taken by spigot of cotter joint given compressive stress in spigot considering crushing failure, enter Thickness of cotter (tc), Diameter of Spigot (d2) & Compressive Stress In Spigot c) and hit the calculate button. Here is how the Load taken by spigot of cotter joint given compressive stress in spigot considering crushing failure calculation can be explained with given input values -> 18000 = (0.01*0.045*(40000000)).

### FAQ

What is Load taken by spigot of cotter joint given compressive stress in spigot considering crushing failure?
Load taken by spigot of cotter joint given compressive stress in spigot considering crushing failure is the amount of force beared by the spigot of the cotter joint at particular crushing stress generated in it and is represented as L = (tc*d2*(σc)) or Load = (Thickness of cotter*Diameter of Spigot*(Compressive Stress In Spigot)). Thickness of cotter is the measure of how much broad is the cotter in direction perpendicular to axial force, The diameter of Spigot is defined as the diameter of the external surface of the spigot or the inner diameter of the socket & Compressive Stress In Spigot is the amount of stress generated into the spigot due to the compressive force on it.
How to calculate Load taken by spigot of cotter joint given compressive stress in spigot considering crushing failure?
Load taken by spigot of cotter joint given compressive stress in spigot considering crushing failure is the amount of force beared by the spigot of the cotter joint at particular crushing stress generated in it is calculated using Load = (Thickness of cotter*Diameter of Spigot*(Compressive Stress In Spigot)). To calculate Load taken by spigot of cotter joint given compressive stress in spigot considering crushing failure, you need Thickness of cotter (tc), Diameter of Spigot (d2) & Compressive Stress In Spigot c). With our tool, you need to enter the respective value for Thickness of cotter, Diameter of Spigot & Compressive 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 Thickness of cotter, Diameter of Spigot & Compressive 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*(Gap between End of Slot to End of Spigot)*Diameter of Spigot*(Shear Stress in Spigot))
• 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
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