Bending Stress in Cotter of Cotter Joint 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%
✖The mean Width of Cotter is defined as the average width of the cotter of a cotter joint.ⓘ Mean Width of Cotter [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%

✖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 of Cotter Joint [σ_b]

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Formula

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Bending Stress in Cotter of Cotter Joint

Formula

`"σ"_{"b"} = (3*"L"/("t"_{"c"}*"b"^2))*(("d"_{"2"}+2*"d"_{"4"})/12)`

Example

`"75.91516N/mm²"=(3*"50000N"/("14mm"*("48.5mm")^2))*(("40mm"+2*"80mm")/12)`

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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 on Cotter Joint/(Thickness of Cotter*Mean Width of Cotter^2))*((Diameter of Spigot+2*Diameter of Socket Collar)/12)
σ_b = (3*L/(t_c*b^2))*((d₂+2*d₄)/12)
This formula uses 6 Variables

Variables Used

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.
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.
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.
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)
Mean Width of Cotter: 48.5 Millimeter --> 0.0485 Meter (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

σ_b = (3*L/(t_c*b^2))*((d₂+2*d₄)/12) --> (3*50000/(0.014*0.0485^2))*((0.04+2*0.08)/12)

Evaluating ... ...

σ_b = 75915157.2202906

STEP 3: Convert Result to Output's Unit

75915157.2202906 Pascal -->75.9151572202906 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

75.9151572202906 ≈ 75.91516 Newton per Square Millimeter <-- Bending Stress in Cotter

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Design of Cotter Joint » Strength and Stress » Bending Stress in Cotter of Cotter Joint

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Created by Saurabh Patil

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

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< 13 Strength and Stress Calculators

Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket

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

Bending Stress in Cotter of Cotter Joint

Go Bending Stress in Cotter = (3*Load on Cotter Joint/(Thickness of Cotter*Mean Width of Cotter^2))*((Diameter of Spigot+2*Diameter of Socket Collar)/12)

Tensile Stress in Spigot of Cotter Joint given Diameter of Spigot, Thickenss of Cotter and Load

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

Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket

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

Tensile Stress in Spigot

Go Tensile Stress = Tensile Force on Rods/((pi/4*Diameter of Spigot^(2))-(Diameter of Spigot*Thickness of Cotter))

Compressive Stress in Socket of Cotter Joint given Diameter of Spigot and of Socket Collar

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

Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load

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

Tensile Stress in Rod of Cotter Joint

Go Tensile Stress in Cotter Joint Rod = (4*Load on Cotter Joint)/(pi*Diameter of Rod of Cotter Joint^2)

Compressive Stress in Spigot of Cotter Joint Considering Crushing Failure

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

Permissible Shear Stress for Cotter

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

Shear Stress in Cotter given Cotter Thickness and Width

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

Compressive Stress of Spigot

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

Permissible Shear Stress for Spigot

Go Permissible Shear Stress = Tensile Force on Rods/(2*Spigot Distance*Diameter of Spigot)

Bending Stress in Cotter of Cotter Joint Formula

Bending Stress in Cotter = (3*Load on Cotter Joint/(Thickness of Cotter*Mean Width of Cotter^2))*((Diameter of Spigot+2*Diameter of Socket Collar)/12)
σ_b = (3*L/(t_c*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 on Cotter Joint/(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 σ_b 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 on Cotter Joint (L), Thickness of Cotter (t_c), 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 -> 8.2E-5 = (3*50000/(0.014*0.0485^2))*((0.04+2*0.08)/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 σ_b = (3*L/(t_c*b^2))*((d₂+2*d₄)/12) or Bending Stress in Cotter = (3*Load on Cotter Joint/(Thickness of Cotter*Mean Width of Cotter^2))*((Diameter of Spigot+2*Diameter of Socket Collar)/12). 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, 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 on Cotter Joint/(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 on Cotter Joint (L), Thickness of Cotter (t_c), 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 on Cotter Joint, 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.

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