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Diameter of Knuckle Pin given Bending Stress in Pin Formula

GoDiameter 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

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

d - Diameter of Knuckle Pin?L - Load on Knuckle Joint?b - Thickess of Eye of Knuckle Joint?a - Thickess of Fork Eye of Knuckle Joint?σ_b - Bending Stress in Knuckle Pin?π - Archimedes' constant?

Diameter of Knuckle Pin given Bending Stress in Pin Example

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Here is how the Diameter of Knuckle Pin given Bending Stress in Pin equation looks like with Values.

Here is how the Diameter of Knuckle Pin given Bending Stress in Pin equation looks like with Units.

Here is how the Diameter of Knuckle Pin given Bending Stress in Pin equation looks like.

37.0311 = {(\frac{32 \cdot \frac{45000}{2} \cdot (\frac{44.3}{4} + \frac{26.6}{3})}{3.1416 \cdot 90})}^{\frac{1}{3}}

37.0311mm = {(\frac{32 \cdot \frac{45000N}{2} \cdot (\frac{44.3mm}{4} + \frac{26.6mm}{3})}{3.1416 \cdot 90N/mm²})}^{\frac{1}{3}}

37.0311 = {(\frac{32 \cdot \frac{45000}{2} \cdot (\frac{44.3}{4} + \frac{26.6}{3})}{3.1416 \cdot 90})}^{\frac{1}{3}}

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Design of Machine Elements » fx Diameter of Knuckle Pin given Bending Stress in Pin

Diameter of Knuckle Pin given Bending Stress in Pin Solution

Follow our step by step solution on how to calculate Diameter of Knuckle Pin given Bending Stress in Pin?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = {(\frac{32 \cdot \frac{45000N}{2} \cdot (\frac{44.3mm}{4} + \frac{26.6mm}{3})}{π \cdot 90N/mm²})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

d = {(\frac{32 \cdot \frac{45000N}{2} \cdot (\frac{44.3mm}{4} + \frac{26.6mm}{3})}{3.1416 \cdot 90N/mm²})}^{\frac{1}{3}}

Next Step Convert Units

∴

d = {(\frac{32 \cdot \frac{45000N}{2} \cdot (\frac{0.0443m}{4} + \frac{0.0266m}{3})}{3.1416 \cdot 9E+7Pa})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

d = {(\frac{32 \cdot \frac{45000}{2} \cdot (\frac{0.0443}{4} + \frac{0.0266}{3})}{3.1416 \cdot 9E+7})}^{\frac{1}{3}}

Next Step Evaluate

∴

d = 0.03703114912245m

Next Step Convert to Output's Unit

∴

d = 37.03114912245mm

LAST Step Rounding Answer

∴

d = 37.0311mm

Diameter of Knuckle Pin given Bending Stress in Pin Formula Elements

Variables

Constants

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

Thickess of Eye of Knuckle Joint

Thickess of Eye of Knuckle Joint is the thickness of the eye of the nonforked part of the knuckle joint, measured perpendicular to the eye hole radius.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickess of Eye of Knuckle Joint

Thickess of Fork Eye of Knuckle Joint

Thickess of Fork Eye of Knuckle Joint is the thickness of the eye of the forked part of the knuckle joint, measured perpendicular to the eye hole radius.

Symbol: a

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickess of Fork Eye of Knuckle Joint

Bending Stress in Knuckle Pin

Bending Stress in Knuckle Pin is the amount of bending stress induced into the knuckle pin when the knuckle joint is subjected to axial loading resulting in a bending moment.

Symbol: σ_b

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Bending 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

Other Formulas to find Diameter of Knuckle Pin

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

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

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}}

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 Knuckle Pin given Bending Stress in Pin?

Diameter of Knuckle Pin given Bending Stress in Pin evaluator uses Diameter of Knuckle Pin = ((32*Load on Knuckle Joint/2*(Thickess of Eye of Knuckle Joint/4+Thickess of Fork Eye of Knuckle Joint/3))/(pi*Bending Stress in Knuckle Pin))^(1/3) to evaluate the Diameter of Knuckle Pin, The Diameter of knuckle pin given bending 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 Knuckle Pin given Bending Stress in Pin using this online evaluator? To use this online evaluator for Diameter of Knuckle Pin given Bending Stress in Pin, enter Load on Knuckle Joint (L), Thickess of Eye of Knuckle Joint (b), Thickess of Fork Eye of Knuckle Joint (a) & Bending Stress in Knuckle Pin (σ_b) and hit the calculate button.

FAQs on Diameter of Knuckle Pin given Bending Stress in Pin

What is the formula to find Diameter of Knuckle Pin given Bending Stress in Pin?

The formula of Diameter of Knuckle Pin given Bending Stress in Pin is expressed as Diameter of Knuckle Pin = ((32*Load on Knuckle Joint/2*(Thickess of Eye of Knuckle Joint/4+Thickess of Fork Eye of Knuckle Joint/3))/(pi*Bending Stress in Knuckle Pin))^(1/3). Here is an example- 38354.8 = ((32*45000/2*(0.0443/4+0.0266/3))/(pi*90000000))^(1/3).

How to calculate Diameter of Knuckle Pin given Bending Stress in Pin?

With Load on Knuckle Joint (L), Thickess of Eye of Knuckle Joint (b), Thickess of Fork Eye of Knuckle Joint (a) & Bending Stress in Knuckle Pin (σ_b) we can find Diameter of Knuckle Pin given Bending Stress in Pin using the formula - Diameter of Knuckle Pin = ((32*Load on Knuckle Joint/2*(Thickess of Eye of Knuckle Joint/4+Thickess of Fork Eye of Knuckle Joint/3))/(pi*Bending Stress in Knuckle Pin))^(1/3). This formula also uses Archimedes' constant .

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=sqrt((2*Load on Knuckle Joint)/(pi*Shear Stress in 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)

Can the Diameter of Knuckle Pin given Bending Stress in Pin be negative?

No, the Diameter of Knuckle Pin given Bending Stress in Pin, measured in Length cannot be negative.

Which unit is used to measure Diameter of Knuckle Pin given Bending Stress in Pin?

Diameter of Knuckle Pin given Bending 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 Knuckle Pin given Bending Stress in Pin can be measured.

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Diameter of Knuckle Pin given Bending Stress in Pin Formula

​GoDiameter 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

Diameter of Knuckle Pin given Bending Stress in Pin Example

Diameter of Knuckle Pin given Bending Stress in Pin Solution

Diameter of Knuckle Pin given Bending Stress in Pin Formula Elements

Other Formulas to find Diameter of Knuckle Pin

Other formulas in Pin category

How to Evaluate Diameter of Knuckle Pin given Bending Stress in Pin?

FAQs on Diameter of Knuckle Pin given Bending Stress in Pin

Variable Name

GoDiameter 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