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Diameter of Pin of Knuckle Joint given Shear Stress in Fork 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 = d o - \frac{L}{2 \cdot τ f \cdot a}

d - Diameter of Knuckle Pin?d_o - Outer Diameter of Eye of Knuckle Joint?L - Load on Knuckle Joint?τ_f - Shear Stress in Fork of Knuckle Joint?a - Thickess of Fork Eye of Knuckle Joint?

Diameter of Pin of Knuckle Joint given Shear Stress in Fork Example

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

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

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

46.1654 = 80 - \frac{45000}{2 \cdot 25 \cdot 26.6}

46.1654mm = 80mm - \frac{45000N}{2 \cdot 25N/mm² \cdot 26.6mm}

46.1654 = 80 - \frac{45000}{2 \cdot 25 \cdot 26.6}

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Design of Machine Elements » fx Diameter of Pin of Knuckle Joint given Shear Stress in Fork

Diameter of Pin of Knuckle Joint given Shear Stress in Fork Solution

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

FIRST Step Consider the formula

d = d o - \frac{L}{2 \cdot τ f \cdot a}

Next Step Substitute values of Variables

∴

d = 80mm - \frac{45000N}{2 \cdot 25N/mm² \cdot 26.6mm}

Next Step Convert Units

∴

d = 0.08m - \frac{45000N}{2 \cdot 2.5E+7Pa \cdot 0.0266m}

Next Step Prepare to Evaluate

∴

d = 0.08 - \frac{45000}{2 \cdot 2.5E+7 \cdot 0.0266}

Next Step Evaluate

∴

d = 0.0461654135338346m

Next Step Convert to Output's Unit

∴

d = 46.1654135338346mm

LAST Step Rounding Answer

∴

d = 46.1654mm

Diameter of Pin of Knuckle Joint given Shear Stress in Fork Formula Elements

Variables

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

Outer Diameter of Eye of Knuckle Joint

Outer Diameter of Eye of Knuckle Joint is the diameter of the outer surface of the eye of the knuckle joint into which the knuckle pin is inserted.

Symbol: d_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Diameter of Eye of Knuckle Joint

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 Fork of Knuckle Joint

Shear Stress in Fork of Knuckle Joint is the amount of shear stress induced into the forked part of a knuckle joint and may lead to failure parallel to the force application area.

Symbol: τ_f

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Fork 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

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 Pin of Knuckle Joint given Shear Stress in Fork?

Diameter of Pin of Knuckle Joint given Shear Stress in Fork evaluator uses Diameter of Knuckle Pin = Outer Diameter of Eye of Knuckle Joint-Load on Knuckle Joint/(2*Shear Stress in Fork of Knuckle Joint*Thickess of Fork Eye of Knuckle Joint) to evaluate the Diameter of Knuckle Pin, The Diameter of pin of knuckle joint given shear stress in fork 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 Shear Stress in Fork using this online evaluator? To use this online evaluator for Diameter of Pin of Knuckle Joint given Shear Stress in Fork, enter Outer Diameter of Eye of Knuckle Joint (d_o), Load on Knuckle Joint (L), Shear Stress in Fork of Knuckle Joint (τ_f) & Thickess of Fork Eye of Knuckle Joint (a) and hit the calculate button.

FAQs on Diameter of Pin of Knuckle Joint given Shear Stress in Fork

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

The formula of Diameter of Pin of Knuckle Joint given Shear Stress in Fork is expressed as Diameter of Knuckle Pin = Outer Diameter of Eye of Knuckle Joint-Load on Knuckle Joint/(2*Shear Stress in Fork of Knuckle Joint*Thickess of Fork Eye of Knuckle Joint). Here is an example- 42406.02 = 0.08-45000/(2*25000000*0.0266).

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

With Outer Diameter of Eye of Knuckle Joint (d_o), Load on Knuckle Joint (L), Shear Stress in Fork of Knuckle Joint (τ_f) & Thickess of Fork Eye of Knuckle Joint (a) we can find Diameter of Pin of Knuckle Joint given Shear Stress in Fork using the formula - Diameter of Knuckle Pin = Outer Diameter of Eye of Knuckle Joint-Load on Knuckle Joint/(2*Shear Stress in Fork of Knuckle Joint*Thickess of Fork Eye of Knuckle Joint).

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 Pin of Knuckle Joint given Shear Stress in Fork be negative?

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

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

Diameter of Pin of Knuckle Joint given Shear Stress in Fork 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 Shear Stress in Fork can be measured.

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Diameter of Pin of Knuckle Joint given Shear Stress in Fork 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 Pin of Knuckle Joint given Shear Stress in Fork Example

Diameter of Pin of Knuckle Joint given Shear Stress in Fork Solution

Diameter of Pin of Knuckle Joint given Shear Stress in Fork 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 Shear Stress in Fork?

FAQs on Diameter of Pin of Knuckle Joint given Shear Stress in Fork

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