Minimum Rod Diameter in Cotter Joint given Axial Tensile Force and Stress 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%
✖Tensile Stress in Cotter Joint Rod is the amount of stress generated into the rod under consideration due to the tensile force onto it.ⓘ Tensile Stress in Cotter Joint Rod [σt_rod]			+10% -10%

✖Diameter of Rod of Cotter Joint is defined as the length of the longest chord passing across the rod of a cotter joint end.ⓘ Minimum Rod Diameter in Cotter Joint given Axial Tensile Force and Stress [d]

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Formula

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

Formula

`"d" = sqrt((4*"L")/("σt"_{"rod"}*pi))`

Example

`"35.68248mm"=sqrt((4*"50000N")/("50N/mm²"*pi))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Rod of Cotter Joint = sqrt((4*Load on Cotter Joint)/(Tensile Stress in Cotter Joint Rod*pi))
d = sqrt((4*L)/(σt_rod*pi))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Diameter of Rod of Cotter Joint - (Measured in Meter) - Diameter of Rod of Cotter Joint is defined as the length of the longest chord passing across the rod of a cotter joint end.
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.
Tensile Stress in Cotter Joint Rod - (Measured in Pascal) - Tensile Stress in Cotter Joint Rod is the amount of stress generated into the rod under consideration due to the tensile force onto it.

STEP 1: Convert Input(s) to Base Unit

Load on Cotter Joint: 50000 Newton --> 50000 Newton No Conversion Required
Tensile Stress in Cotter Joint Rod: 50 Newton per Square Millimeter --> 50000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = sqrt((4*L)/(σt_rod*pi)) --> sqrt((4*50000)/(50000000*pi))

Evaluating ... ...

d = 0.0356824823230554

STEP 3: Convert Result to Output's Unit

0.0356824823230554 Meter -->35.6824823230554 Millimeter (Check conversion here)

FINAL ANSWER

35.6824823230554 ≈ 35.68248 Millimeter <-- Diameter of Rod of Cotter Joint

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

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Created by Vivek Gaikwad

AISSMS College of Engineering, Pune (AISSMSCOE, Pune), Pune

Vivek Gaikwad has created this Calculator and 25+ more calculators!

Verified by Peri Krishna Karthik

National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala

Peri Krishna Karthik has verified this Calculator and 8 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

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

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

Why Rod diameter in cotter joint needed?

Rod diameter in cotter joint given axial force & tensile/compressive stress is required while designing cotter joint. Further calculation of dimensions of cotter joint requires rod diameter.

How to Calculate Minimum Rod Diameter in Cotter Joint given Axial Tensile Force and Stress?

Minimum Rod Diameter in Cotter Joint given Axial Tensile Force and Stress calculator uses Diameter of Rod of Cotter Joint = sqrt((4*Load on Cotter Joint)/(Tensile Stress in Cotter Joint Rod*pi)) to calculate the Diameter of Rod of Cotter Joint, Minimum Rod diameter in cotter joint given axial tensile force and stress is simply calculated by using basic formula Stress(σ)=Force(p)/ area((π/4)*d^2). Diameter of Rod of Cotter Joint is denoted by d symbol.

How to calculate Minimum Rod Diameter in Cotter Joint given Axial Tensile Force and Stress using this online calculator? To use this online calculator for Minimum Rod Diameter in Cotter Joint given Axial Tensile Force and Stress, enter Load on Cotter Joint (L) & Tensile Stress in Cotter Joint Rod (σt_rod) and hit the calculate button. Here is how the Minimum Rod Diameter in Cotter Joint given Axial Tensile Force and Stress calculation can be explained with given input values -> 35682.48 = sqrt((4*50000)/(50000000*pi)).

FAQ

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

Minimum Rod diameter in cotter joint given axial tensile force and stress is simply calculated by using basic formula Stress(σ)=Force(p)/ area((π/4)*d^2) and is represented as d = sqrt((4*L)/(σt_rod*pi)) or Diameter of Rod of Cotter Joint = sqrt((4*Load on Cotter Joint)/(Tensile Stress in Cotter Joint Rod*pi)). Load on cotter joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts & Tensile Stress in Cotter Joint Rod is the amount of stress generated into the rod under consideration due to the tensile force onto it.

How to calculate Minimum Rod Diameter in Cotter Joint given Axial Tensile Force and Stress?

Minimum Rod diameter in cotter joint given axial tensile force and stress is simply calculated by using basic formula Stress(σ)=Force(p)/ area((π/4)*d^2) is calculated using Diameter of Rod of Cotter Joint = sqrt((4*Load on Cotter Joint)/(Tensile Stress in Cotter Joint Rod*pi)). To calculate Minimum Rod Diameter in Cotter Joint given Axial Tensile Force and Stress, you need Load on Cotter Joint (L) & Tensile Stress in Cotter Joint Rod (σt_rod). With our tool, you need to enter the respective value for Load on Cotter Joint & Tensile Stress in Cotter Joint Rod 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 Diameter of Rod of Cotter Joint?

In this formula, Diameter of Rod of Cotter Joint uses Load on Cotter Joint & Tensile Stress in Cotter Joint Rod. We can use 4 other way(s) to calculate the same, which is/are as follows -

Diameter of Rod of Cotter Joint = Thickness of Cotter/(0.31)
Diameter of Rod of Cotter Joint = Diameter of Spigot Collar/1.5
Diameter of Rod of Cotter Joint = Diameter of Socket Collar/2.4
Diameter of Rod of Cotter Joint = Thickness of Spigot Collar/(0.45)

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