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Thickness of Eye End of Knuckle Joint given Bending Stress in Pin Formula

GoThickness of Eye End of Knuckle Joint given Bending Moment in Pin Formula

GoThickness of Eye End of Knuckle Joint given Tensile Stress in Eye Formula

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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. Check FAQs

b = 4 \cdot (\frac{π \cdot d^{3} \cdot σ b}{16 \cdot L} - \frac{a}{3})

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

Thickness of Eye End of Knuckle Joint given Bending Stress in Pin Example

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Here is how the Thickness of Eye End of Knuckle Joint given Bending Stress in Pin equation looks like with Values.

Here is how the Thickness of Eye End of Knuckle Joint given Bending Stress in Pin equation looks like with Units.

Here is how the Thickness of Eye End of Knuckle Joint given Bending Stress in Pin equation looks like.

44.0989 = 4 \cdot (\frac{3.1416 \cdot 37^{3} \cdot 90}{16 \cdot 45000} - \frac{26.6}{3})

44.0989mm = 4 \cdot (\frac{3.1416 \cdot {37mm}^{3} \cdot 90N/mm²}{16 \cdot 45000N} - \frac{26.6mm}{3})

44.0989 = 4 \cdot (\frac{3.1416 \cdot 37^{3} \cdot 90}{16 \cdot 45000} - \frac{26.6}{3})

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Thickness of Eye End of Knuckle Joint given Bending Stress in Pin Solution

Follow our step by step solution on how to calculate Thickness of Eye End of Knuckle Joint given Bending Stress in Pin?

FIRST Step Consider the formula

b = 4 \cdot (\frac{π \cdot d^{3} \cdot σ b}{16 \cdot L} - \frac{a}{3})

Next Step Substitute values of Variables

∴

b = 4 \cdot (\frac{π \cdot {37mm}^{3} \cdot 90N/mm²}{16 \cdot 45000N} - \frac{26.6mm}{3})

Next Step Substitute values of Constants

∴

b = 4 \cdot (\frac{3.1416 \cdot {37mm}^{3} \cdot 90N/mm²}{16 \cdot 45000N} - \frac{26.6mm}{3})

Next Step Convert Units

∴

b = 4 \cdot (\frac{3.1416 \cdot {0.037m}^{3} \cdot 9E+7Pa}{16 \cdot 45000N} - \frac{0.0266m}{3})

Next Step Prepare to Evaluate

∴

b = 4 \cdot (\frac{3.1416 \cdot {0.037}^{3} \cdot 9E+7}{16 \cdot 45000} - \frac{0.0266}{3})

Next Step Evaluate

∴

b = 0.0440988796744752m

Next Step Convert to Output's Unit

∴

b = 44.0988796744752mm

LAST Step Rounding Answer

∴

b = 44.0989mm

Thickness of Eye End of Knuckle Joint given Bending Stress in Pin Formula Elements

Variables

Constants

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

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

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

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 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

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 Thickess of Eye of Knuckle Joint

Go Thickness of Eye End of Knuckle Joint given Bending Moment in Pin

b = 4 \cdot (2 \cdot \frac{M b}{L} - \frac{a}{3})

Go Thickness of Eye End of Knuckle Joint given Tensile Stress in Eye

b = \frac{L}{σ te \cdot (d o - d)}

Go Thickness of Eye End of Knuckle Joint given Shear Stress in Eye

b = \frac{L}{τ e \cdot (d o - d)}

Go Thickness of Eye of Knuckle Joint given Rod Diameter

b = 1.25 \cdot d r1

Other formulas in Eye category

Go Tensile Stress in Rod of Knuckle Joint

σ t = \frac{4 \cdot L}{π \cdot {d r1}^{2}}

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

τ p = \frac{2 \cdot L}{π \cdot d^{2}}

Go Compressive Stress in Pin Inside Eye of Knuckle Joint given Load and Pin Dimensions

σ c = \frac{L}{b \cdot d}

Go Compressive Stress in Pin Inside Fork of Knuckle Joint given Load and Pin Dimensions

σ c = \frac{L}{2 \cdot a \cdot d}

How to Evaluate Thickness of Eye End of Knuckle Joint given Bending Stress in Pin?

Thickness of Eye End of Knuckle Joint given Bending Stress in Pin evaluator uses Thickess of Eye of Knuckle Joint = 4*((pi*Diameter of Knuckle Pin^3*Bending Stress in Knuckle Pin)/(16*Load on Knuckle Joint)-Thickess of Fork Eye of Knuckle Joint/3) to evaluate the Thickess of Eye of Knuckle Joint, The Thickness of eye end of knuckle joint given bending stress in pin is the thickness of the eye of the nonforked part of a knuckle joint and is measured along the eye hole axis. Thickess of Eye of Knuckle Joint is denoted by b symbol.

How to evaluate Thickness of Eye End of Knuckle Joint given Bending Stress in Pin using this online evaluator? To use this online evaluator for Thickness of Eye End of Knuckle Joint given Bending Stress in Pin, enter Diameter of Knuckle Pin (d), Bending Stress in Knuckle Pin (σ_b), Load on Knuckle Joint (L) & Thickess of Fork Eye of Knuckle Joint (a) and hit the calculate button.

FAQs on Thickness of Eye End of Knuckle Joint given Bending Stress in Pin

What is the formula to find Thickness of Eye End of Knuckle Joint given Bending Stress in Pin?

The formula of Thickness of Eye End of Knuckle Joint given Bending Stress in Pin is expressed as Thickess of Eye of Knuckle Joint = 4*((pi*Diameter of Knuckle Pin^3*Bending Stress in Knuckle Pin)/(16*Load on Knuckle Joint)-Thickess of Fork Eye of Knuckle Joint/3). Here is an example- 36142.33 = 4*((pi*0.037^3*90000000)/(16*45000)-0.0266/3).

How to calculate Thickness of Eye End of Knuckle Joint given Bending Stress in Pin?

With Diameter of Knuckle Pin (d), Bending Stress in Knuckle Pin (σ_b), Load on Knuckle Joint (L) & Thickess of Fork Eye of Knuckle Joint (a) we can find Thickness of Eye End of Knuckle Joint given Bending Stress in Pin using the formula - Thickess of Eye of Knuckle Joint = 4*((pi*Diameter of Knuckle Pin^3*Bending Stress in Knuckle Pin)/(16*Load on Knuckle Joint)-Thickess of Fork Eye of Knuckle Joint/3). This formula also uses Archimedes' constant .

What are the other ways to Calculate Thickess of Eye of Knuckle Joint?

Here are the different ways to Calculate Thickess of Eye of Knuckle Joint-

Thickess of Eye of Knuckle Joint=4*(2*Bending Moment in Knuckle Pin/Load on Knuckle Joint-Thickess of Fork Eye of Knuckle Joint/3)
Thickess of Eye of Knuckle Joint=Load on Knuckle Joint/(Tensile Stress in Eye of Knuckle Joint*(Outer Diameter of Eye of Knuckle Joint-Diameter of Knuckle Pin))
Thickess of Eye of Knuckle Joint=Load on Knuckle Joint/(Shear Stress in Eye of Knuckle Joint*(Outer Diameter of Eye of Knuckle Joint-Diameter of Knuckle Pin))

Can the Thickness of Eye End of Knuckle Joint given Bending Stress in Pin be negative?

No, the Thickness of Eye End of Knuckle Joint given Bending Stress in Pin, measured in Length cannot be negative.

Which unit is used to measure Thickness of Eye End of Knuckle Joint given Bending Stress in Pin?

Thickness of Eye End of Knuckle Joint 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 Thickness of Eye End of Knuckle Joint given Bending Stress in Pin can be measured.

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Thickness of Eye End of Knuckle Joint given Bending Stress in Pin Formula

​GoThickness of Eye End of Knuckle Joint given Bending Moment in Pin Formula

​GoThickness of Eye End of Knuckle Joint given Tensile Stress in Eye Formula

Thickness of Eye End of Knuckle Joint given Bending Stress in Pin Example

Thickness of Eye End of Knuckle Joint given Bending Stress in Pin Solution

Thickness of Eye End of Knuckle Joint given Bending Stress in Pin Formula Elements

Other Formulas to find Thickess of Eye of Knuckle Joint

Other formulas in Eye category

How to Evaluate Thickness of Eye End of Knuckle Joint given Bending Stress in Pin?

FAQs on Thickness of Eye End of Knuckle Joint given Bending Stress in Pin

Variable Name

GoThickness of Eye End of Knuckle Joint given Bending Moment in Pin Formula

GoThickness of Eye End of Knuckle Joint given Tensile Stress in Eye Formula