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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 socket of cotter joint given tensile stress in socket Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
L = (σt)*((pi/4)*(d1^2-d2^2)-tc*(d1-d2))
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Tensile Stress In Socket - Tensile Stress In Socket is the amount of stress generated into the socket due to the tensile force onto it. (Measured in Newton per Square Millimeter)
Outside Diameter of Socket - Outside Diameter of Socket is the diameter (twice the radius) of the outer surface of the socket. (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)
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)
STEP 1: Convert Input(s) to Base Unit
Tensile Stress In Socket: 40 Newton per Square Millimeter --> 40000000 Pascal (Check conversion here)
Outside Diameter of Socket: 60 Millimeter --> 0.06 Meter (Check conversion here)
Diameter of Spigot: 45 Millimeter --> 0.045 Meter (Check conversion here)
Thickness of cotter: 10 Millimeter --> 0.01 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = (σt)*((pi/4)*(d1^2-d2^2)-tc*(d1-d2)) --> (40000000)*((pi/4)*(0.06^2-0.045^2)-0.01*(0.06-0.045))
Evaluating ... ...
L = 43480.0842940392
STEP 3: Convert Result to Output's Unit
43480.0842940392 Newton --> No Conversion Required
(Calculation completed in 00.031 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 socket of cotter joint given tensile stress in socket Formula

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))
L = (σt)*((pi/4)*(d1^2-d2^2)-tc*(d1-d2))

## 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 = (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, 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 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 t), Outside Diameter of Socket (d1), Diameter of Spigot (d2) & Thickness of cotter (tc) 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 -> 43480.08 = (40000000)*((pi/4)*(0.06^2-0.045^2)-0.01*(0.06-0.045)).

### 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 = (σt)*((pi/4)*(d1^2-d2^2)-tc*(d1-d2)) or 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)). 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 = (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 t), Outside Diameter of Socket (d1), Diameter of Spigot (d2) & Thickness of cotter (tc). 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?
In this formula, Load 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 = (((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 = (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
• Load = (Thickness of cotter*Diameter of Spigot*(Compressive Stress In Spigot)) Let Others Know