Cross Section Area of Socket of Cotter Joint Prone to Failure Calculator

✖Outside Diameter of Socket is the diameter (twice the radius) of the outer surface of the socket.ⓘ Outside Diameter of Socket [d₁]			+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%
✖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%

✖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 of Cotter Joint Prone to Failure [A]

⎘ Copy

👎

Formula

✖

Cross Section Area of Socket of Cotter Joint Prone to Failure

Formula

`"A" = pi/4*("d"_{"1"}^2-"d"_{"2"}^2)-"t"_{"c"}*("d"_{"1"}-"d"_{"2"})`

Example

`"837.584mm²"=pi/4*(("54mm")^2-("40mm")^2)-"14mm"*("54mm"-"40mm")`

Calculator

LaTeX

Reset

👍

Download Joint Geometry and Dimensions Formulas PDF PDF Image

Cross Section Area of Socket of Cotter Joint Prone to Failure Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
A = pi/4*(d₁^2-d₂^2)-t_c*(d₁-d₂)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Outside Diameter of Socket - (Measured in Meter) - Outside Diameter of Socket is the diameter (twice the radius) of the outer surface of the socket.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Outside Diameter of Socket: 54 Millimeter --> 0.054 Meter (Check conversion here)
Diameter of Spigot: 40 Millimeter --> 0.04 Meter (Check conversion here)
Thickness of Cotter: 14 Millimeter --> 0.014 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = pi/4*(d₁^2-d₂^2)-t_c*(d₁-d₂) --> pi/4*(0.054^2-0.04^2)-0.014*(0.054-0.04)

Evaluating ... ...

A = 0.000837583983031042

STEP 3: Convert Result to Output's Unit

0.000837583983031042 Square Meter -->837.583983031042 Square Millimeter (Check conversion here)

FINAL ANSWER

837.583983031042 ≈ 837.584 Square Millimeter <-- Cross Sectional Area of Socket

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Design of Machine Elements » Design of Coupling » Design of Cotter Joint » Joint Geometry and Dimensions » Cross Section Area of Socket of Cotter Joint Prone to Failure

Credits

Created by Saurabh Patil

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

Saurabh Patil has created this Calculator and 700+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 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 of Cotter Joint Prone to Failure Formula

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)
A = pi/4*(d₁^2-d₂^2)-t_c*(d₁-d₂)

What is a cotter and when is it used?

Cotter is a flat wedge-shaped metal piece that is used to connect two rods that transmit the force but without rotation. The force may be axial and of tensile or compressive nature. Cotter is fitted in the tapered slot and remains in its position because of wedge action.

How to Calculate Cross Section Area of Socket of Cotter Joint Prone to Failure?

Cross Section Area of Socket of Cotter Joint Prone to Failure calculator uses 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) to calculate the Cross Sectional Area of Socket, Cross section area of socket of cotter joint prone to failure is the area of cross-section of the socket of a cotter joint which is more prone to fracture during the application of axial load. Cross Sectional Area of Socket is denoted by A symbol.

How to calculate Cross Section Area of Socket of Cotter Joint Prone to Failure using this online calculator? To use this online calculator for Cross Section Area of Socket of Cotter Joint Prone to Failure, enter Outside Diameter of Socket (d₁), Diameter of Spigot (d₂) & Thickness of Cotter (t_c) and hit the calculate button. Here is how the Cross Section Area of Socket of Cotter Joint Prone to Failure calculation can be explained with given input values -> 8.4E+8 = pi/4*(0.054^2-0.04^2)-0.014*(0.054-0.04).

FAQ

What is Cross Section Area of Socket of Cotter Joint Prone to Failure?

Cross section area of socket of cotter joint prone to failure is the area of cross-section of the socket of a cotter joint which is more prone to fracture during the application of axial load and is represented as A = pi/4*(d₁^2-d₂^2)-t_c*(d₁-d₂) or 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). Outside Diameter of Socket is the diameter (twice the radius) of the outer surface of the socket, The diameter of Spigot is defined as the diameter of the external surface of the spigot or the inner diameter of the socket & Thickness of Cotter is the measure of how much broad is the cotter in direction perpendicular to axial force.

How to calculate Cross Section Area of Socket of Cotter Joint Prone to Failure?

Cross section area of socket of cotter joint prone to failure is the area of cross-section of the socket of a cotter joint which is more prone to fracture during the application of axial load is calculated using 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). To calculate Cross Section Area of Socket of Cotter Joint Prone to Failure, you need Outside Diameter of Socket (d₁), Diameter of Spigot (d₂) & Thickness of Cotter (t_c). With our tool, you need to enter the respective value for Outside Diameter of Socket, Diameter of Spigot & Thickness of 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 Cross Sectional Area of Socket?

In this formula, Cross Sectional Area of Socket uses Outside Diameter of Socket, Diameter of Spigot & Thickness of Cotter. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search