Thickness of Cotter Joint given Bending Stress in Cotter Calculator

✖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 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%
✖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%
✖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%
✖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%

✖Thickness of Cotter is the measure of how much broad is the cotter in direction perpendicular to axial force.ⓘ Thickness of Cotter Joint given Bending Stress in Cotter [t_c]

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Formula

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Thickness of Cotter Joint given Bending Stress in Cotter

Formula

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

Example

`"10.84502mm"=(2*"80mm"+"40mm")*(("50000N")/(4*("48.5mm")^2*"98N/mm²"))`

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Thickness of Cotter Joint given Bending Stress in Cotter Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
t_c = (2*d₄+d₂)*((L)/(4*b^2*σ_b))
This formula uses 6 Variables

Variables Used

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.
Diameter of Socket Collar - (Measured in Meter) - Diameter of socket collar is the external diameter of collar of the socket 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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Diameter of Socket Collar: 80 Millimeter --> 0.08 Meter (Check conversion here)
Diameter of Spigot: 40 Millimeter --> 0.04 Meter (Check conversion here)
Load on Cotter Joint: 50000 Newton --> 50000 Newton No Conversion Required
Mean Width of Cotter: 48.5 Millimeter --> 0.0485 Meter (Check conversion here)
Bending Stress in Cotter: 98 Newton per Square Millimeter --> 98000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_c = (2*d₄+d₂)*((L)/(4*b^2*σ_b)) --> (2*0.08+0.04)*((50000)/(4*0.0485^2*98000000))

Evaluating ... ...

t_c = 0.0108450224600415

STEP 3: Convert Result to Output's Unit

0.0108450224600415 Meter -->10.8450224600415 Millimeter (Check conversion here)

FINAL ANSWER

10.8450224600415 ≈ 10.84502 Millimeter <-- Thickness 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 » Thickness of Cotter Joint given Bending Stress in Cotter

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Created by Saurabh Patil

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

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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

Thickness of Cotter Joint given Bending Stress in Cotter Formula

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))
t_c = (2*d₄+d₂)*((L)/(4*b^2*σ_b))

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 Thickness of Cotter Joint given Bending Stress in Cotter?

Thickness of Cotter Joint given Bending Stress in Cotter calculator uses 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)) to calculate the Thickness of Cotter, Thickness of cotter joint given bending stress in cotter is the required thickness of the cotter of a cotter joint when a bending moment acts onto the cotter. Thickness of Cotter is denoted by t_c symbol.

How to calculate Thickness of Cotter Joint given Bending Stress in Cotter using this online calculator? To use this online calculator for Thickness of Cotter Joint given Bending Stress in Cotter, enter Diameter of Socket Collar (d₄), Diameter of Spigot (d₂), Load on Cotter Joint (L), Mean Width of Cotter (b) & Bending Stress in Cotter (σ_b) and hit the calculate button. Here is how the Thickness of Cotter Joint given Bending Stress in Cotter calculation can be explained with given input values -> 10845.02 = (2*0.08+0.04)*((50000)/(4*0.0485^2*98000000)).

FAQ

What is Thickness of Cotter Joint given Bending Stress in Cotter?

Thickness of cotter joint given bending stress in cotter is the required thickness of the cotter of a cotter joint when a bending moment acts onto the cotter and is represented as t_c = (2*d₄+d₂)*((L)/(4*b^2*σ_b)) or 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 is the external diameter of collar of the socket 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, Load on cotter joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts, The mean Width of Cotter is defined as the average width of the cotter of a cotter joint & Bending Stress in Cotter is defined as the stress that is induced in the cotter subjected to loads that cause it to bend.

How to calculate Thickness of Cotter Joint given Bending Stress in Cotter?

Thickness of cotter joint given bending stress in cotter is the required thickness of the cotter of a cotter joint when a bending moment acts onto the cotter is calculated using 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)). To calculate Thickness of Cotter Joint given Bending Stress in Cotter, you need Diameter of Socket Collar (d₄), Diameter of Spigot (d₂), Load on Cotter Joint (L), Mean Width of Cotter (b) & Bending Stress in Cotter (σ_b). With our tool, you need to enter the respective value for Diameter of Socket Collar, Diameter of Spigot, Load on Cotter Joint, Mean Width of Cotter & Bending Stress in 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 Thickness of Cotter?

In this formula, Thickness of Cotter uses Diameter of Socket Collar, Diameter of Spigot, Load on Cotter Joint, Mean Width of Cotter & Bending Stress in Cotter. We can use 4 other way(s) to calculate the same, which is/are as follows -

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)
Thickness of Cotter = (Load on Cotter Joint)/(2*Shear Stress in Cotter*Mean Width of Cotter)
Thickness of Cotter = (Load on Cotter Joint)/(Compressive Stress in Spigot*Diameter of Spigot)
Thickness of Cotter = (Load on Cotter Joint)/((Diameter of Socket Collar-Diameter of Spigot)*Compressive Stress In Socket)

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