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*"L"/("t"_{"c"}*"σ"_{"b"})*("d"_{"2"}/4+("d"_{"4"}-"d"_{"2"})/6))^0.5`

Example

`"42.68674mm"=(3*"50000N"/("14mm"*"98N/mm²")*("40mm"/4+("80mm"-"40mm")/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: 14 Millimeter --> 0.014 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/(0.014*98000000)*(0.04/4+(0.08-0.04)/6))^0.5

Evaluating ... ...

b = 0.0426867360476569

STEP 3: Convert Result to Output's Unit

0.0426867360476569 Meter -->42.6867360476569 Millimeter (Check conversion here)

FINAL ANSWER

42.6867360476569 ≈ 42.68674 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 » 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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< 25 Joint Geometry and Dimensions Calculators

Thickness of Cotter given Tensile Stress in Socket

Go Thickness of Cotter = ((pi/4*(Outside Diameter of Socket^2-Diameter of Spigot^2))-(Load at Cotter Joint)/Tensile Stress In Socket)/(Outside Diameter of Socket-Diameter of Spigot)

Width of Cotter by Bending Consideration

Go 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

Thickness of Cotter Joint given Bending Stress in Cotter

Go Thickness of Cotter = (2*Diameter of Socket Collar+Diameter of Spigot)*((Load on Cotter Joint)/(4*Mean Width of Cotter^2*Bending Stress in Cotter))

Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter

Go Diameter of Socket Collar = (4*Mean Width of Cotter^2*Bending Stress in Cotter*(Thickness of Cotter)/Load on Cotter Joint-Diameter of Spigot)/2

Diameter of Spigot of Cotter Joint given Bending Stress in Cotter

Go Diameter of Spigot = 4*Mean Width of Cotter^2*Bending Stress in Cotter*(Thickness of Cotter)/Load on Cotter Joint-2*Diameter of Socket Collar

Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket

Go Diameter of Spigot = Diameter of Socket Collar-(Load on Cotter Joint)/(2*Axial Distance From Slot to End of Socket Collar*Shear Stress in Socket)

Diameter of socket collar of cotter joint given shear stress in socket

Go Diameter of Socket Collar = (Load on Cotter Joint)/(2*Axial Distance From Slot to End of Socket Collar*Shear Stress in Socket)+Diameter of Spigot

Thickness of Cotter given Compressive Stress in Socket

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

Diameter of Socket Collar of Cotter Joint given Compressive Stress

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

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)

Minimum Rod Diameter in Cotter Joint given Axial Tensile Force and Stress

Go Diameter of Rod of Cotter Joint = sqrt((4*Load on Cotter Joint)/(Tensile Stress in Cotter Joint Rod*pi))

Cross Section Area of Spigot of Cotter Joint Prone to Failure

Go Cross Sectional Area of Spigot = (pi*Diameter of Spigot^2)/4-Diameter of Spigot*Thickness of Cotter

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)

Thickness of Cotter given Compressive Stress in Spigot

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

Thickness of Cotter given Shear Stress in Cotter

Go Thickness of Cotter = (Load on Cotter Joint)/(2*Shear Stress in Cotter*Mean Width of Cotter)

Width of Cotter by Shear Consideration

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

Diameter of Rod of Cotter Joint given Thickness of Spigot Collar

Go Diameter of Rod of Cotter Joint = Thickness of Spigot Collar/(0.45)

Thickness of Spigot Collar when Rod Diameter is Available

Go Thickness of Spigot Collar = 0.45*Diameter of Rod of Cotter Joint

Diameter of Rod of Cotter Joint given Spigot Collar Diameter

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

Diameter of Rod of Cotter Joint given Socket Collar Diameter

Go Diameter of Rod of Cotter Joint = Diameter of Socket Collar/2.4

Diameter of Spigot Collar given Rod Diameter

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

Diameter of Socket Collar given Rod Diameter

Go Diameter of Socket Collar = 2.4*Diameter of Rod of Cotter Joint

Diameter of Rod of Cotter Joint given Thickness of Cotter

Go Diameter of Rod of Cotter Joint = Thickness of Cotter/(0.31)

Thickness of Cotter Joint

Go Thickness of Cotter = 0.31*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 -> 44298.12 = (3*50000/(0.014*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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