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

GoDiameter of Rod of Cotter Joint given Thickness of Cotter Formula

GoDiameter of Rod of Cotter Joint given Spigot Collar Diameter Formula

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Diameter of Rod of Cotter Joint is defined as the length of the longest chord passing across the rod of a cotter joint end. Check FAQs

d = \sqrt{\frac{4 \cdot L}{σt rod \cdot π}}

d - Diameter of Rod of Cotter Joint?L - Load on Cotter Joint?σt_rod - Tensile Stress in Cotter Joint Rod?π - Archimedes' constant?

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

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Here is how the Minimum Rod Diameter in Cotter Joint given Axial Tensile Force and Stress equation looks like with Values.

Here is how the Minimum Rod Diameter in Cotter Joint given Axial Tensile Force and Stress equation looks like with Units.

Here is how the Minimum Rod Diameter in Cotter Joint given Axial Tensile Force and Stress equation looks like.

35.6825 = \sqrt{\frac{4 \cdot 50000}{50 \cdot 3.1416}}

35.6825mm = \sqrt{\frac{4 \cdot 50000N}{50N/mm² \cdot 3.1416}}

35.6825 = \sqrt{\frac{4 \cdot 50000}{50 \cdot 3.1416}}

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

Follow our step by step solution on how to calculate Minimum Rod Diameter in Cotter Joint given Axial Tensile Force and Stress?

FIRST Step Consider the formula

d = \sqrt{\frac{4 \cdot L}{σt rod \cdot π}}

Next Step Substitute values of Variables

∴

d = \sqrt{\frac{4 \cdot 50000N}{50N/mm² \cdot π}}

Next Step Substitute values of Constants

∴

d = \sqrt{\frac{4 \cdot 50000N}{50N/mm² \cdot 3.1416}}

Next Step Convert Units

∴

d = \sqrt{\frac{4 \cdot 50000N}{5E+7Pa \cdot 3.1416}}

Next Step Prepare to Evaluate

∴

d = \sqrt{\frac{4 \cdot 50000}{5E+7 \cdot 3.1416}}

Next Step Evaluate

∴

d = 0.0356824823230554m

Next Step Convert to Output's Unit

∴

d = 35.6824823230554mm

LAST Step Rounding Answer

∴

d = 35.6825mm

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

Variables

Constants

Functions

Diameter of Rod of Cotter Joint

Diameter of Rod of Cotter Joint is defined as the length of the longest chord passing across the rod of a cotter joint end.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Rod of Cotter Joint

Load on Cotter Joint

Load on cotter joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts.

Symbol: L

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Load on Cotter Joint

Tensile Stress in Cotter Joint Rod

Tensile Stress in Cotter Joint Rod is the amount of stress generated into the rod under consideration due to the tensile force onto it.

Symbol: σt_rod

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Tensile Stress in Cotter Joint Rod

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other Formulas to find Diameter of Rod of Cotter Joint

Go Diameter of Rod of Cotter Joint given Thickness of Cotter

d = \frac{t c}{0.31}

Go Diameter of Rod of Cotter Joint given Spigot Collar Diameter

d = \frac{d 3}{1.5}

Go Diameter of Rod of Cotter Joint given Socket Collar Diameter

d = \frac{d 4}{2.4}

Go Diameter of Rod of Cotter Joint given Thickness of Spigot Collar

d = \frac{t 1}{0.45}

Other formulas in Joint Geometry and Dimensions category

Go Minimum Diameter of Spigot in Cotter Joint Subjected to Crushing Stress

d 2 = \frac{L}{σ c \cdot t c}

Go Diameter of Spigot Collar given Rod Diameter

d 3 = 1.5 \cdot d

Go Diameter of Spigot of Cotter Joint given Shear Stress in Spigot

d 2 = \frac{L}{2 \cdot L a \cdot τ sp}

Go Diameter of Spigot of Cotter Joint given Compressive Stress

d 2 = d 4 - \frac{L}{t c \cdot σ c1}

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

Minimum Rod Diameter in Cotter Joint given Axial Tensile Force and Stress evaluator uses Diameter of Rod of Cotter Joint = sqrt((4*Load on Cotter Joint)/(Tensile Stress in Cotter Joint Rod*pi)) to evaluate 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 evaluate Minimum Rod Diameter in Cotter Joint given Axial Tensile Force and Stress using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Minimum Rod Diameter in Cotter Joint given Axial Tensile Force and Stress?

The formula of Minimum Rod Diameter in Cotter Joint given Axial Tensile Force and Stress is expressed as Diameter of Rod of Cotter Joint = sqrt((4*Load on Cotter Joint)/(Tensile Stress in Cotter Joint Rod*pi)). Here is an example- 35682.48 = sqrt((4*50000)/(50000000*pi)).

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

With Load on Cotter Joint (L) & Tensile Stress in Cotter Joint Rod (σt_rod) we can find Minimum Rod Diameter in Cotter Joint given Axial Tensile Force and Stress using the formula - Diameter of Rod of Cotter Joint = sqrt((4*Load on Cotter Joint)/(Tensile Stress in Cotter Joint Rod*pi)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Diameter of Rod of Cotter Joint?

Here are the different ways to Calculate Diameter of Rod of Cotter Joint-

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

Can the Minimum Rod Diameter in Cotter Joint given Axial Tensile Force and Stress be negative?

No, the Minimum Rod Diameter in Cotter Joint given Axial Tensile Force and Stress, measured in Length cannot be negative.

Which unit is used to measure 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 usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Minimum Rod Diameter in Cotter Joint given Axial Tensile Force and Stress can be measured.

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

​GoDiameter of Rod of Cotter Joint given Thickness of Cotter Formula

​GoDiameter of Rod of Cotter Joint given Spigot Collar Diameter Formula

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

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

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

Other Formulas to find Diameter of Rod of Cotter Joint

Other formulas in Joint Geometry and Dimensions category

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

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

Variable Name

GoDiameter of Rod of Cotter Joint given Thickness of Cotter Formula

GoDiameter of Rod of Cotter Joint given Spigot Collar Diameter Formula