Cross Section Area of Socket End Resisting Shear Failure 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%
✖Axial Distance From Slot to End of Socket Collar is the distance between the slot for cotter to the end of socket collar measured along the socket axis.ⓘ Axial Distance From Slot to End of Socket Collar [c]			+10% -10%

✖Cross Sectional Area of Socket is the area of a two-dimensional shape that is obtained when a socket is sliced perpendicular to some specified axis at a point.ⓘ Cross Section Area of Socket End Resisting Shear Failure [A]

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Cross Section Area of Socket End Resisting Shear Failure

Formula

`"A" = ("d"_{"4"}-"d"_{"2"})*"c"`

Example

`"880mm²"=("80mm"-"40mm")*"22mm"`

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Cross Section Area of Socket End Resisting Shear Failure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cross Sectional Area of Socket = (Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar
A = (d₄-d₂)*c
This formula uses 4 Variables

Variables Used

Cross Sectional Area of Socket - (Measured in Square Meter) - Cross Sectional Area of Socket is the area of a two-dimensional shape that is obtained when a socket is sliced perpendicular to some specified axis at a point.
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.
Axial Distance From Slot to End of Socket Collar - (Measured in Meter) - Axial Distance From Slot to End of Socket Collar is the distance between the slot for cotter to the end of socket collar measured along the socket axis.

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)
Axial Distance From Slot to End of Socket Collar: 22 Millimeter --> 0.022 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (d₄-d₂)*c --> (0.08-0.04)*0.022

Evaluating ... ...

A = 0.00088

STEP 3: Convert Result to Output's Unit

0.00088 Square Meter -->880 Square Millimeter (Check conversion here)

FINAL ANSWER

880 Square Millimeter <-- Cross Sectional Area of Socket

(Calculation completed in 00.020 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Design of Cotter Joint » Joint Geometry and Dimensions » Cross Section Area of Socket End Resisting Shear Failure

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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

Cross Section Area of Socket End Resisting Shear Failure Formula

Cross Sectional Area of Socket = (Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar
A = (d₄-d₂)*c

Loads supported by a cotter joint

Cotter joints are used to support axial loads between the two rods, tensile or compressive. Although a cotter joint will resist the rotation of one rod relative to the other, it should not be used to join rotating shafts. This is because the cotter will not be balanced and may work loose under the combination of vibration and centrifugal force.

How to Calculate Cross Section Area of Socket End Resisting Shear Failure?

Cross Section Area of Socket End Resisting Shear Failure calculator uses Cross Sectional Area of Socket = (Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar to calculate the Cross Sectional Area of Socket, Cross section area of socket end resisting shear failure is the area of cords section of the socket of a cotter joint that is more vulnerable to failure or fracture due to the shearing force. Cross Sectional Area of Socket is denoted by A symbol.

How to calculate Cross Section Area of Socket End Resisting Shear Failure using this online calculator? To use this online calculator for Cross Section Area of Socket End Resisting Shear Failure, enter Diameter of Socket Collar (d₄), Diameter of Spigot (d₂) & Axial Distance From Slot to End of Socket Collar (c) and hit the calculate button. Here is how the Cross Section Area of Socket End Resisting Shear Failure calculation can be explained with given input values -> 8.8E+8 = (0.08-0.04)*0.022.

FAQ

What is Cross Section Area of Socket End Resisting Shear Failure?

Cross section area of socket end resisting shear failure is the area of cords section of the socket of a cotter joint that is more vulnerable to failure or fracture due to the shearing force and is represented as A = (d₄-d₂)*c or Cross Sectional Area of Socket = (Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar. 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 & Axial Distance From Slot to End of Socket Collar is the distance between the slot for cotter to the end of socket collar measured along the socket axis.

How to calculate Cross Section Area of Socket End Resisting Shear Failure?

Cross section area of socket end resisting shear failure is the area of cords section of the socket of a cotter joint that is more vulnerable to failure or fracture due to the shearing force is calculated using Cross Sectional Area of Socket = (Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar. To calculate Cross Section Area of Socket End Resisting Shear Failure, you need Diameter of Socket Collar (d₄), Diameter of Spigot (d₂) & Axial Distance From Slot to End of Socket Collar (c). With our tool, you need to enter the respective value for Diameter of Socket Collar, Diameter of Spigot & Axial Distance From Slot to End 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 Cross Sectional Area of Socket?

In this formula, Cross Sectional Area of Socket uses Diameter of Socket Collar, Diameter of Spigot & Axial Distance From Slot to End of Socket Collar. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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