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Shear Stress in Fork of Knuckle Joint given Load, Outer Diameter of Eye and Pin Diameter Formula

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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. Check FAQs

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

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

Shear Stress in Fork of Knuckle Joint given Load, Outer Diameter of Eye and Pin Diameter Example

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

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

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

19.6713 = \frac{45000}{2 \cdot 26.6 \cdot (80 - 37)}

19.6713N/mm² = \frac{45000N}{2 \cdot 26.6mm \cdot (80mm - 37mm)}

19.6713 = \frac{45000}{2 \cdot 26.6 \cdot (80 - 37)}

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Shear Stress in Fork of Knuckle Joint given Load, Outer Diameter of Eye and Pin Diameter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

τ f = \frac{45000N}{2 \cdot 26.6mm \cdot (80mm - 37mm)}

Next Step Convert Units

∴

τ f = \frac{45000N}{2 \cdot 0.0266m \cdot (0.08m - 0.037m)}

Next Step Prepare to Evaluate

∴

τ f = \frac{45000}{2 \cdot 0.0266 \cdot (0.08 - 0.037)}

Next Step Evaluate

∴

τ f = 19671271.201259Pa

Next Step Convert to Output's Unit

∴

τ f = 19.671271201259N/mm²

LAST Step Rounding Answer

∴

τ f = 19.6713N/mm²

Shear Stress in Fork of Knuckle Joint given Load, Outer Diameter of Eye and Pin Diameter Formula Elements

Variables

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

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

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

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

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 Shear Stress in Fork of Knuckle Joint given Load, Outer Diameter of Eye and Pin Diameter?

Shear Stress in Fork of Knuckle Joint given Load, Outer Diameter of Eye and Pin Diameter evaluator uses Shear Stress in Fork of Knuckle Joint = Load on Knuckle Joint/(2*Thickess of Fork Eye of Knuckle Joint*(Outer Diameter of Eye of Knuckle Joint-Diameter of Knuckle Pin)) to evaluate the Shear Stress in Fork of Knuckle Joint, The Shear stress in fork of knuckle joint given load, outer diameter of eye and pin diameter is the amount of shear stress that is induced into the forked end of the knuckle joint when the knuckle joint is loaded into tension loading. Shear Stress in Fork of Knuckle Joint is denoted by τ_f symbol.

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

FAQs on Shear Stress in Fork of Knuckle Joint given Load, Outer Diameter of Eye and Pin Diameter

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

The formula of Shear Stress in Fork of Knuckle Joint given Load, Outer Diameter of Eye and Pin Diameter is expressed as Shear Stress in Fork of Knuckle Joint = Load on Knuckle Joint/(2*Thickess of Fork Eye of Knuckle Joint*(Outer Diameter of Eye of Knuckle Joint-Diameter of Knuckle Pin)). Here is an example- 2.2E-5 = 45000/(2*0.0266*(0.08-0.037)).

How to calculate Shear Stress in Fork of Knuckle Joint given Load, Outer Diameter of Eye and Pin Diameter?

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

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

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

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

Shear Stress in Fork of Knuckle Joint given Load, Outer Diameter of Eye 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 Fork of Knuckle Joint given Load, Outer Diameter of Eye and Pin Diameter can be measured.

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Shear Stress in Fork of Knuckle Joint given Load, Outer Diameter of Eye and Pin Diameter Formula

Shear Stress in Fork of Knuckle Joint given Load, Outer Diameter of Eye and Pin Diameter Example

Shear Stress in Fork of Knuckle Joint given Load, Outer Diameter of Eye and Pin Diameter Solution

Shear Stress in Fork of Knuckle Joint given Load, Outer Diameter of Eye and Pin Diameter Formula Elements

Other formulas in Eye category

How to Evaluate Shear Stress in Fork of Knuckle Joint given Load, Outer Diameter of Eye and Pin Diameter?

FAQs on Shear Stress in Fork of Knuckle Joint given Load, Outer Diameter of Eye and Pin Diameter

Variable Name