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Created by Saurabh Patil
Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore
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## Bending stress in cotter of cotter joint Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bending Stress in Cotter = (3*Load/(Thickness of cotter*Mean Width of Cotter^2))*((Diameter of Spigot+(2*Diameter of Socket Collar))/12)
σb = (3*L/(tc*b^2))*((d2+(2*d4))/12)
This formula uses 5 Variables
Variables Used
Load - Load is basically the amount of load/force any material, product, joint, can bear or is acted upon or exerts. (Measured in Newton)
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)
Mean Width of Cotter - The mean Width of Cotter is defined as the average width of the cotter of a cotter joint. (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)
Diameter of Socket Collar - Diameter of socket collar is the external diameter of collar of the socket of a cotter joint. (Measured in Millimeter)
STEP 1: Convert Input(s) to Base Unit
Load: 5250 Newton --> 5250 Newton No Conversion Required
Thickness of cotter: 10 Millimeter --> 0.01 Meter (Check conversion here)
Mean Width of Cotter: 30 Millimeter --> 0.03 Meter (Check conversion here)
Diameter of Spigot: 45 Millimeter --> 0.045 Meter (Check conversion here)
Diameter of Socket Collar: 100 Millimeter --> 0.1 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σb = (3*L/(tc*b^2))*((d2+(2*d4))/12) --> (3*5250/(0.01*0.03^2))*((0.045+(2*0.1))/12)
Evaluating ... ...
σb = 35729166.6666667
STEP 3: Convert Result to Output's Unit
35729166.6666667 Pascal -->35.7291666666667 Newton per Square Millimeter (Check conversion here)
35.7291666666667 Newton per Square Millimeter <-- Bending Stress in Cotter
(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

### Bending stress in cotter of cotter joint Formula

Bending Stress in Cotter = (3*Load/(Thickness of cotter*Mean Width of Cotter^2))*((Diameter of Spigot+(2*Diameter of Socket Collar))/12)
σb = (3*L/(tc*b^2))*((d2+(2*d4))/12)

## Socket and Spigot Cotter Joint

A cotter joint knows as a socket and spigot joint, is a method of temporarily joining two coaxial rods, one end of the rod provided with a socket type and the other end of the other rod inserted into the socket. The end of the rod goes into a socket also called a spigot.
A rectangular hole is built into the socket and spigot. A cotter is tightly operating through a hole to make a temporary connection between the two rods. The load is usually acting axially, but it changes its direction. And so, the cotter joint should design to carry both tensile and compressive loads. Compressive load taking by the caller on the spigot.

## How to Calculate Bending stress in cotter of cotter joint?

Bending stress in cotter of cotter joint calculator uses Bending Stress in Cotter = (3*Load/(Thickness of cotter*Mean Width of Cotter^2))*((Diameter of Spigot+(2*Diameter of Socket Collar))/12) to calculate the Bending Stress in Cotter, Bending stress in cotter of cotter joint is the amount of bending stress generated in the cotter of a cotter joint when the cotter is subjected to a bending moment and it tends to bend the cotter if exceeds a certain limit. Bending Stress in Cotter is denoted by σb symbol.

How to calculate Bending stress in cotter of cotter joint using this online calculator? To use this online calculator for Bending stress in cotter of cotter joint, enter Load (L), Thickness of cotter (tc), Mean Width of Cotter (b), Diameter of Spigot (d2) & Diameter of Socket Collar (d4) and hit the calculate button. Here is how the Bending stress in cotter of cotter joint calculation can be explained with given input values -> 35.72917 = (3*5250/(0.01*0.03^2))*((0.045+(2*0.1))/12) .

### FAQ

What is Bending stress in cotter of cotter joint?
Bending stress in cotter of cotter joint is the amount of bending stress generated in the cotter of a cotter joint when the cotter is subjected to a bending moment and it tends to bend the cotter if exceeds a certain limit and is represented as σb = (3*L/(tc*b^2))*((d2+(2*d4))/12) or Bending Stress in Cotter = (3*Load/(Thickness of cotter*Mean Width of Cotter^2))*((Diameter of Spigot+(2*Diameter of Socket Collar))/12) . Load is basically the amount of load/force any material, product, joint, can bear or is acted upon or exerts, Thickness of cotter is the measure of how much broad is the cotter in direction perpendicular to axial force, The mean Width of Cotter is defined as the average width of the cotter of a cotter joint, 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 socket collar is the external diameter of collar of the socket of a cotter joint.
How to calculate Bending stress in cotter of cotter joint?
Bending stress in cotter of cotter joint is the amount of bending stress generated in the cotter of a cotter joint when the cotter is subjected to a bending moment and it tends to bend the cotter if exceeds a certain limit is calculated using Bending Stress in Cotter = (3*Load/(Thickness of cotter*Mean Width of Cotter^2))*((Diameter of Spigot+(2*Diameter of Socket Collar))/12) . To calculate Bending stress in cotter of cotter joint, you need Load (L), Thickness of cotter (tc), Mean Width of Cotter (b), Diameter of Spigot (d2) & Diameter of Socket Collar (d4). With our tool, you need to enter the respective value for Load, Thickness of cotter, Mean Width of Cotter, Diameter of Spigot & Diameter of Socket Collar and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well. Let Others Know