Width of Cotter by Bending Consideration Calculator

✖Load on cotter joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts.ⓘ Load on Cotter Joint [L]			+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%
✖Bending Stress in Cotter is defined as the stress that is induced in the cotter subjected to loads that cause it to bend.ⓘ Bending Stress in Cotter [σ_b]			+10% -10%
✖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 Spigot [d₂]			+10% -10%
✖Diameter of socket collar is the external diameter of collar of the socket of a cotter joint.ⓘ Diameter of Socket Collar [d₄]			+10% -10%

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

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Formula

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Width of Cotter by Bending Consideration

Formula

b = {(3 \cdot \frac{L}{t c \cdot σ b} \cdot (\frac{d 2}{4} + \frac{d 4 - d 2}{6}))}^{0.5}

Example

34.46355 mm = {(3 \cdot \frac{50000 N}{21.478 mm \cdot 98 N/mm²} \cdot (\frac{40 mm}{4} + \frac{80 mm - 40 mm}{6}))}^{0.5}

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Width of Cotter by Bending Consideration Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
b = (3*L/(t_c*σ_b)*(d₂/4+(d₄-d₂)/6))^0.5
This formula uses 6 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.
Load on Cotter Joint - (Measured in Newton) - Load on cotter joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts.
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.
Bending Stress in Cotter - (Measured in Pascal) - Bending Stress in Cotter is defined as the stress that is induced in the cotter subjected to loads that cause it to bend.
Diameter of Spigot - (Measured in Meter) - 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 - (Measured in Meter) - Diameter of socket collar is the external diameter of collar of the socket of a cotter joint.

STEP 1: Convert Input(s) to Base Unit

Load on Cotter Joint: 50000 Newton --> 50000 Newton No Conversion Required
Thickness of Cotter: 21.478 Millimeter --> 0.021478 Meter (Check conversion here)
Bending Stress in Cotter: 98 Newton per Square Millimeter --> 98000000 Pascal (Check conversion here)
Diameter of Spigot: 40 Millimeter --> 0.04 Meter (Check conversion here)
Diameter of Socket Collar: 80 Millimeter --> 0.08 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = (3*L/(t_c*σ_b)*(d₂/4+(d₄-d₂)/6))^0.5 --> (3*50000/(0.021478*98000000)*(0.04/4+(0.08-0.04)/6))^0.5

Evaluating ... ...

b = 0.0344635528977039

STEP 3: Convert Result to Output's Unit

0.0344635528977039 Meter -->34.4635528977039 Millimeter (Check conversion here)

FINAL ANSWER

34.4635528977039 ≈ 34.46355 Millimeter <-- Mean Width of Cotter

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Design of Cotter Joint » Mechanical » Joint Geometry and Dimensions » Width of Cotter by Bending Consideration

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Created by Saurabh Patil

Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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Vishwakarma Institute of Information Technology, Pune (VIIT Pune), Pune

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< Joint Geometry and Dimensions Calculators

Diameter of Spigot of Cotter Joint given Compressive Stress

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

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

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

Diameter of Spigot Collar given Rod Diameter

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

Width of Cotter by Bending Consideration Formula

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 bending failure?

The failure in bending occurs when the section does not get enough resisting moment or flexure. In this case, the produced stress becomes more than the yield limit. The deformations and cracks occurs during the failure. Bending failure is also called as flexural failure.

How to Calculate Width of Cotter by Bending Consideration?

Width of Cotter by Bending Consideration calculator uses 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 to calculate the Mean Width of Cotter, The Width of cotter by bending consideration is the mean width of cotter of a cotter joint considering bending failure of the cotter. Mean Width of Cotter is denoted by b symbol.

How to calculate Width of Cotter by Bending Consideration using this online calculator? To use this online calculator for Width of Cotter by Bending Consideration, enter Load on Cotter Joint (L), Thickness of Cotter (t_c), Bending Stress in Cotter (σ_b), Diameter of Spigot (d₂) & Diameter of Socket Collar (d₄) and hit the calculate button. Here is how the Width of Cotter by Bending Consideration calculation can be explained with given input values -> 39560.63 = (3*50000/(0.021478*98000000)*(0.04/4+(0.08-0.04)/6))^0.5.

FAQ

What is Width of Cotter by Bending Consideration?

The Width of cotter by bending consideration is the mean width of cotter of a cotter joint considering bending failure of the cotter and is represented as b = (3*L/(t_c*σ_b)*(d₂/4+(d₄-d₂)/6))^0.5 or 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. Load on cotter joint is basically the amount of load/force any part or 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, Bending Stress in Cotter is defined as the stress that is induced in the cotter subjected to loads that cause it to bend, 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 Width of Cotter by Bending Consideration?

The Width of cotter by bending consideration is the mean width of cotter of a cotter joint considering bending failure of the cotter is calculated using 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. To calculate Width of Cotter by Bending Consideration, you need Load on Cotter Joint (L), Thickness of Cotter (t_c), Bending Stress in Cotter (σ_b), Diameter of Spigot (d₂) & Diameter of Socket Collar (d₄). With our tool, you need to enter the respective value for Load on Cotter Joint, Thickness of Cotter, Bending Stress in 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.

How many ways are there to calculate Mean Width of Cotter?

In this formula, Mean Width of Cotter uses Load on Cotter Joint, Thickness of Cotter, Bending Stress in Cotter, Diameter of Spigot & Diameter of Socket Collar. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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