Width of Cotter by Shear Consideration Calculator

✖Shear Force on Cotter can be described as a force acting in a direction that's parallel to (over the top of) a surface or cross-section of a cotter.ⓘ Shear Force on Cotter [V]			+10% -10%
✖Shear Stress in Cotter is the amount of stress (cause deformation by slippage along a plane parallel to the imposed stress) generated into the cotter due to the shear force acting on it.ⓘ Shear Stress in Cotter [τ_co]			+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%

✖The mean Width of Cotter is defined as the average width of the cotter of a cotter joint.ⓘ Width of Cotter by Shear Consideration [b]

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Width of Cotter by Shear Consideration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Width of Cotter = Shear Force on Cotter/(2*Shear Stress in Cotter*Thickness of Cotter)
b = V/(2*τ_co*t_c)
This formula uses 4 Variables

Variables Used

Mean Width of Cotter - (Measured in Meter) - The mean Width of Cotter is defined as the average width of the cotter of a cotter joint.
Shear Force on Cotter - (Measured in Newton) - Shear Force on Cotter can be described as a force acting in a direction that's parallel to (over the top of) a surface or cross-section of a cotter.
Shear Stress in Cotter - (Measured in Pascal) - Shear Stress in Cotter is the amount of stress (cause deformation by slippage along a plane parallel to the imposed stress) generated into the cotter due to the shear force acting on it.
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

Shear Force on Cotter: 23800 Newton --> 23800 Newton No Conversion Required
Shear Stress in Cotter: 24 Newton per Square Millimeter --> 24000000 Pascal (Check conversion here)
Thickness of Cotter: 21.478 Millimeter --> 0.021478 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = V/(2*τ_co*t_c) --> 23800/(2*24000000*0.021478)

Evaluating ... ...

b = 0.0230856380171959

STEP 3: Convert Result to Output's Unit

0.0230856380171959 Meter -->23.0856380171959 Millimeter (Check conversion here)

FINAL ANSWER

23.0856380171959 ≈ 23.08564 Millimeter <-- Mean Width of Cotter

(Calculation completed in 00.004 seconds)

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< Joint Geometry and Dimensions Calculators

Diameter of Spigot of Cotter Joint given Compressive Stress

LaTeX Go Diameter of Spigot = Diameter of Socket Collar-(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot)

Diameter of Spigot of Cotter Joint given Shear Stress in Spigot

LaTeX Go Diameter of Spigot = (Load on Cotter Joint)/(2*Gap between End of Slot to End of Spigot*Shear Stress in Spigot)

Minimum Diameter of Spigot in Cotter Joint Subjected to Crushing Stress

LaTeX Go Diameter of Spigot = Load on Cotter Joint/(Crushing Stress induced in Cotter*Thickness of Cotter)

Diameter of Spigot Collar given Rod Diameter

LaTeX Go Diameter of Spigot Collar = 1.5*Diameter of Rod of Cotter Joint

Width of Cotter by Shear Consideration Formula

LaTeX Go

Mean Width of Cotter = Shear Force on Cotter/(2*Shear Stress in Cotter*Thickness of Cotter)
b = V/(2*τ_co*t_c)

What is a cotter joint?

A cotter joint, also known as a socket and spigot joint, is a method of temporarily joining two coaxial rods. One rod is fitted with a spigot, which fits inside a socket on one end of the other rod. Cotter joints are used to support axial loads between the two rods, tensile or compressive.

What is shear failure?

Shear failure can be defined as a failure that takes place due to insufficiency of shear resistance available inside a material.

How to Calculate Width of Cotter by Shear Consideration?

Width of Cotter by Shear Consideration calculator uses Mean Width of Cotter = Shear Force on Cotter/(2*Shear Stress in Cotter*Thickness of Cotter) to calculate the Mean Width of Cotter, The Width of cotter by shear consideration is the mean width of cotter of a cotter joint considering shearing failure of the cotter. Mean Width of Cotter is denoted by b symbol.

How to calculate Width of Cotter by Shear Consideration using this online calculator? To use this online calculator for Width of Cotter by Shear Consideration, enter Shear Force on Cotter (V), Shear Stress in Cotter (τ_co) & Thickness of Cotter (t_c) and hit the calculate button. Here is how the Width of Cotter by Shear Consideration calculation can be explained with given input values -> 30419.22 = 23800/(2*24000000*0.021478).

FAQ

What is Width of Cotter by Shear Consideration?

The Width of cotter by shear consideration is the mean width of cotter of a cotter joint considering shearing failure of the cotter and is represented as b = V/(2*τ_co*t_c) or Mean Width of Cotter = Shear Force on Cotter/(2*Shear Stress in Cotter*Thickness of Cotter). Shear Force on Cotter can be described as a force acting in a direction that's parallel to (over the top of) a surface or cross-section of a cotter, Shear Stress in Cotter is the amount of stress (cause deformation by slippage along a plane parallel to the imposed stress) generated into the cotter due to the shear force acting on it & Thickness of Cotter is the measure of how much broad is the cotter in direction perpendicular to axial force.

How to calculate Width of Cotter by Shear Consideration?

The Width of cotter by shear consideration is the mean width of cotter of a cotter joint considering shearing failure of the cotter is calculated using Mean Width of Cotter = Shear Force on Cotter/(2*Shear Stress in Cotter*Thickness of Cotter). To calculate Width of Cotter by Shear Consideration, you need Shear Force on Cotter (V), Shear Stress in Cotter (τ_co) & Thickness of Cotter (t_c). With our tool, you need to enter the respective value for Shear Force on Cotter, Shear Stress in Cotter & 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 Mean Width of Cotter?

In this formula, Mean Width of Cotter uses Shear Force on Cotter, Shear Stress in Cotter & Thickness of Cotter. We can use 1 other way(s) to calculate the same, which is/are as follows -

Mean Width of Cotter = (3*Load on Cotter Joint/(Thickness of Cotter*Bending Stress in Cotter)*(Diameter of Spigot/4+(Diameter of Socket Collar-Diameter of Spigot)/6))^0.5

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