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Bending Stress in Knuckle Pin given Load, Thickness of Eyes and Pin Diameter Formula

GoBending Stress in Knuckle Pin given Bending Moment in Pin Formula

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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. Check FAQs

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

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

Bending Stress in Knuckle Pin given Load, Thickness of Eyes and Pin Diameter Example

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Here is how the Bending Stress in Knuckle Pin given Load, Thickness of Eyes and Pin Diameter equation looks like with Values.

Here is how the Bending Stress in Knuckle Pin given Load, Thickness of Eyes and Pin Diameter equation looks like with Units.

Here is how the Bending Stress in Knuckle Pin given Load, Thickness of Eyes and Pin Diameter equation looks like.

90.2275 = \frac{32 \cdot \frac{45000}{2} \cdot (\frac{44.3}{4} + \frac{26.6}{3})}{3.1416 \cdot 37^{3}}

90.2275N/mm² = \frac{32 \cdot \frac{45000N}{2} \cdot (\frac{44.3mm}{4} + \frac{26.6mm}{3})}{3.1416 \cdot {37mm}^{3}}

90.2275 = \frac{32 \cdot \frac{45000}{2} \cdot (\frac{44.3}{4} + \frac{26.6}{3})}{3.1416 \cdot 37^{3}}

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Bending Stress in Knuckle Pin given Load, Thickness of Eyes and Pin Diameter Solution

Follow our step by step solution on how to calculate Bending Stress in Knuckle Pin given Load, Thickness of Eyes and Pin Diameter?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ b = \frac{32 \cdot \frac{45000N}{2} \cdot (\frac{44.3mm}{4} + \frac{26.6mm}{3})}{π \cdot {37mm}^{3}}

Next Step Substitute values of Constants

∴

σ b = \frac{32 \cdot \frac{45000N}{2} \cdot (\frac{44.3mm}{4} + \frac{26.6mm}{3})}{3.1416 \cdot {37mm}^{3}}

Next Step Convert Units

∴

σ b = \frac{32 \cdot \frac{45000N}{2} \cdot (\frac{0.0443m}{4} + \frac{0.0266m}{3})}{3.1416 \cdot {0.037m}^{3}}

Next Step Prepare to Evaluate

∴

σ b = \frac{32 \cdot \frac{45000}{2} \cdot (\frac{0.0443}{4} + \frac{0.0266}{3})}{3.1416 \cdot {0.037}^{3}}

Next Step Evaluate

∴

σ b = 90227495.8211136Pa

Next Step Convert to Output's Unit

∴

σ b = 90.2274958211136N/mm²

LAST Step Rounding Answer

∴

σ b = 90.2275N/mm²

Bending Stress in Knuckle Pin given Load, Thickness of Eyes and Pin Diameter Formula Elements

Variables

Constants

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 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

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

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 Bending Stress in Knuckle Pin

Go Bending Stress in Knuckle Pin given Bending Moment in Pin

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

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 Bending Stress in Knuckle Pin given Load, Thickness of Eyes and Pin Diameter?

Bending Stress in Knuckle Pin given Load, Thickness of Eyes and Pin Diameter evaluator uses Bending Stress in Knuckle Pin = (32*Load on Knuckle Joint/2*(Thickess of Eye of Knuckle Joint/4+Thickess of Fork Eye of Knuckle Joint/3))/(pi*Diameter of Knuckle Pin^3) to evaluate the Bending Stress in Knuckle Pin, The Bending stress in knuckle pin given load, thickness of eyes and pin diameter 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. Bending Stress in Knuckle Pin is denoted by σ_b symbol.

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

FAQs on Bending Stress in Knuckle Pin given Load, Thickness of Eyes and Pin Diameter

What is the formula to find Bending Stress in Knuckle Pin given Load, Thickness of Eyes and Pin Diameter?

The formula of Bending Stress in Knuckle Pin given Load, Thickness of Eyes and Pin Diameter is expressed as Bending Stress in Knuckle Pin = (32*Load on Knuckle Joint/2*(Thickess of Eye of Knuckle Joint/4+Thickess of Fork Eye of Knuckle Joint/3))/(pi*Diameter of Knuckle Pin^3). Here is an example- 0.0001 = (32*45000/2*(0.0443/4+0.0266/3))/(pi*0.037^3).

How to calculate Bending Stress in Knuckle Pin given Load, Thickness of Eyes and Pin Diameter?

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

What are the other ways to Calculate Bending Stress in Knuckle Pin?

Here are the different ways to Calculate Bending Stress in Knuckle Pin-

Bending Stress in Knuckle Pin=(32*Bending Moment in Knuckle Pin)/(pi*Diameter of Knuckle Pin^3)

Can the Bending Stress in Knuckle Pin given Load, Thickness of Eyes and Pin Diameter be negative?

No, the Bending Stress in Knuckle Pin given Load, Thickness of Eyes and Pin Diameter, measured in Stress cannot be negative.

Which unit is used to measure Bending Stress in Knuckle Pin given Load, Thickness of Eyes and Pin Diameter?

Bending Stress in Knuckle Pin given Load, Thickness of Eyes and Pin Diameter is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Bending Stress in Knuckle Pin given Load, Thickness of Eyes and Pin Diameter can be measured.

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Bending Stress in Knuckle Pin given Load, Thickness of Eyes and Pin Diameter Formula

​GoBending Stress in Knuckle Pin given Bending Moment in Pin Formula

Bending Stress in Knuckle Pin given Load, Thickness of Eyes and Pin Diameter Example

Bending Stress in Knuckle Pin given Load, Thickness of Eyes and Pin Diameter Solution

Bending Stress in Knuckle Pin given Load, Thickness of Eyes and Pin Diameter Formula Elements

Other Formulas to find Bending Stress in Knuckle Pin

Other formulas in Eye category

How to Evaluate Bending Stress in Knuckle Pin given Load, Thickness of Eyes and Pin Diameter?

FAQs on Bending Stress in Knuckle Pin given Load, Thickness of Eyes and Pin Diameter

Variable Name

GoBending Stress in Knuckle Pin given Bending Moment in Pin Formula