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

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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. Check FAQs

τ p = \frac{2 \cdot L}{π \cdot d^{2}}

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

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

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

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

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

20.9261 = \frac{2 \cdot 45000}{3.1416 \cdot 37^{2}}

20.9261N/mm² = \frac{2 \cdot 45000N}{3.1416 \cdot {37mm}^{2}}

20.9261 = \frac{2 \cdot 45000}{3.1416 \cdot 37^{2}}

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

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

FIRST Step Consider the formula

τ p = \frac{2 \cdot L}{π \cdot d^{2}}

Next Step Substitute values of Variables

∴

τ p = \frac{2 \cdot 45000N}{π \cdot {37mm}^{2}}

Next Step Substitute values of Constants

∴

τ p = \frac{2 \cdot 45000N}{3.1416 \cdot {37mm}^{2}}

Next Step Convert Units

∴

τ p = \frac{2 \cdot 45000N}{3.1416 \cdot {0.037m}^{2}}

Next Step Prepare to Evaluate

∴

τ p = \frac{2 \cdot 45000}{3.1416 \cdot {0.037}^{2}}

Next Step Evaluate

∴

τ p = 20926142.9923602Pa

Next Step Convert to Output's Unit

∴

τ p = 20.9261429923602N/mm²

LAST Step Rounding Answer

∴

τ p = 20.9261N/mm²

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

Variables

Constants

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

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

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 in Eye category

Go Tensile Stress in Rod of Knuckle Joint

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

Go Max Bending Moment in Knuckle Pin given Load, Thickness of Eye and Fork

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

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

Shear Stress in Pin of Knuckle Joint given Load and Pin Diameter evaluator uses Shear Stress in Knuckle Pin = (2*Load on Knuckle Joint)/(pi*Diameter of Knuckle Pin^2) to evaluate the Shear Stress in Knuckle Pin, The Shear stress in pin of knuckle joint given load and pin diameter is the shear stress inside the knuckle pin due to the load acting to pull apart the eye end and the fork of the knuckle joint. Shear Stress in Knuckle Pin is denoted by τ_p symbol.

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

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

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

The formula of Shear Stress in Pin of Knuckle Joint given Load and Pin Diameter is expressed as Shear Stress in Knuckle Pin = (2*Load on Knuckle Joint)/(pi*Diameter of Knuckle Pin^2). Here is an example- 2.3E-5 = (2*45000)/(pi*0.037^2).

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

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

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

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

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

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

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

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

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

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

Other formulas in Eye category

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

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

Variable Name