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Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin Formula

GoDiameter of Pin of Knuckle Joint given Compressive Stress in Eye End Portion of Pin Formula

GoDiameter of Pin of Knuckle Joint given Compressive Stress in Fork End Portion of Pin Formula

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Diameter of Knuckle Pin is the diameter of the pin used in joining the eye end and the fork of a knuckle joint. Check FAQs

d = \sqrt{\frac{2 \cdot L}{π \cdot τ p}}

d - Diameter of Knuckle Pin?L - Load on Knuckle Joint?τ_p - Shear Stress in Knuckle Pin?π - Archimedes' constant?

Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin Example

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Here is how the Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin equation looks like with Values.

Here is how the Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin equation looks like with Units.

Here is how the Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin equation looks like.

35.14 = \sqrt{\frac{2 \cdot 45000}{3.1416 \cdot 23.2}}

35.14mm = \sqrt{\frac{2 \cdot 45000N}{3.1416 \cdot 23.2N/mm²}}

35.14 = \sqrt{\frac{2 \cdot 45000}{3.1416 \cdot 23.2}}

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Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin Solution

Follow our step by step solution on how to calculate Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin?

FIRST Step Consider the formula

d = \sqrt{\frac{2 \cdot L}{π \cdot τ p}}

Next Step Substitute values of Variables

∴

d = \sqrt{\frac{2 \cdot 45000N}{π \cdot 23.2N/mm²}}

Next Step Substitute values of Constants

∴

d = \sqrt{\frac{2 \cdot 45000N}{3.1416 \cdot 23.2N/mm²}}

Next Step Convert Units

∴

d = \sqrt{\frac{2 \cdot 45000N}{3.1416 \cdot 2.3E+7Pa}}

Next Step Prepare to Evaluate

∴

d = \sqrt{\frac{2 \cdot 45000}{3.1416 \cdot 2.3E+7}}

Next Step Evaluate

∴

d = 0.0351400460206539m

Next Step Convert to Output's Unit

∴

d = 35.1400460206539mm

LAST Step Rounding Answer

∴

d = 35.14mm

Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin Formula Elements

Variables

Constants

Functions

Diameter of Knuckle Pin

Diameter of Knuckle Pin is the diameter of the pin used in joining the eye end and the fork of a knuckle joint.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Knuckle Pin

Load on Knuckle Joint

Load on Knuckle Joint is basically the amount of load/force any part, product, or joint of a knuckle 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 Knuckle Joint

Shear Stress in Knuckle Pin

Shear Stress in Knuckle Pin is the shear stress induced into the pin, the force per unit area tending to cause deformation of the pin by slippage along a plane parallel to the imposed stress.

Symbol: τ_p

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Knuckle Pin

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 Knuckle Pin

Go Diameter of Pin of Knuckle Joint given Compressive Stress in Eye End Portion of Pin

d = \frac{L}{σ c \cdot b}

Go Diameter of Pin of Knuckle Joint given Compressive Stress in Fork End Portion of Pin

d = \frac{L}{2 \cdot σ c \cdot a}

Go Diameter of Knuckle Pin given Bending Moment in Pin

d = {(\frac{32 \cdot M b}{π \cdot σ b})}^{\frac{1}{3}}

Go Diameter of Knuckle Pin given Bending Stress in Pin

d = {(\frac{32 \cdot \frac{L}{2} \cdot (\frac{b}{4} + \frac{a}{3})}{π \cdot σ b})}^{\frac{1}{3}}

Other formulas in Pin category

Go Length of Pin of Knuckle Joint in Contact with Eye End

l = \frac{L}{σ c \cdot d}

Go Diameter of Pinhead of Knuckle Joint given Diameter of Pin

d 1 = 1.5 \cdot d

How to Evaluate Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin?

Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin evaluator uses Diameter of Knuckle Pin = sqrt((2*Load on Knuckle Joint)/(pi*Shear Stress in Knuckle Pin)) to evaluate the Diameter of Knuckle Pin, The Diameter of pin of knuckle joint given load and shear stress in pin is the diameter of the pin used in joining the eye end and the fork of a knuckle joint. Diameter of Knuckle Pin is denoted by d symbol.

How to evaluate Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin using this online evaluator? To use this online evaluator for Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin, enter Load on Knuckle Joint (L) & Shear Stress in Knuckle Pin (τ_p) and hit the calculate button.

FAQs on Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin

What is the formula to find Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin?

The formula of Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin is expressed as Diameter of Knuckle Pin = sqrt((2*Load on Knuckle Joint)/(pi*Shear Stress in Knuckle Pin)). Here is an example- 37040.86 = sqrt((2*45000)/(pi*23200000)).

How to calculate Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin?

With Load on Knuckle Joint (L) & Shear Stress in Knuckle Pin (τ_p) we can find Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin using the formula - Diameter of Knuckle Pin = sqrt((2*Load on Knuckle Joint)/(pi*Shear Stress in Knuckle Pin)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Diameter of Knuckle Pin?

Here are the different ways to Calculate Diameter of Knuckle Pin-

Diameter of Knuckle Pin=Load on Knuckle Joint/(Compressive Stress in Knuckle Pin*Thickess of Eye of Knuckle Joint)
Diameter of Knuckle Pin=Load on Knuckle Joint/(2*Compressive Stress in Knuckle Pin*Thickess of Fork Eye of Knuckle Joint)
Diameter of Knuckle Pin=((32*Bending Moment in Knuckle Pin)/(pi*Bending Stress in Knuckle Pin))^(1/3)

Can the Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin be negative?

No, the Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin, measured in Length cannot be negative.

Which unit is used to measure Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin?

Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin can be measured.

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Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin Formula

​GoDiameter of Pin of Knuckle Joint given Compressive Stress in Eye End Portion of Pin Formula

​GoDiameter of Pin of Knuckle Joint given Compressive Stress in Fork End Portion of Pin Formula

Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin Example

Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin Solution

Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin Formula Elements

Other Formulas to find Diameter of Knuckle Pin

Other formulas in Pin category

How to Evaluate Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin?

FAQs on Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin

Variable Name

GoDiameter of Pin of Knuckle Joint given Compressive Stress in Eye End Portion of Pin Formula

GoDiameter of Pin of Knuckle Joint given Compressive Stress in Fork End Portion of Pin Formula