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Length of Kennedy Key given Shear Stress in Key Formula

GoLength of Kennedy Key given Compressive Stress in Key Formula

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The Length of Key is the measurement of the key used in mechanical systems to secure components and transmit torque between shafts and hubs. Check FAQs

l = \frac{Mt k}{\sqrt{2} \cdot d s \cdot b k \cdot 𝜏}

l - Length of Key?Mt_k - Transmitted Torque by Kennedy Key?d_s - Diameter of Shaft using Key?b_k - Width of Key?𝜏 - Shear Stress in Key?

Length of Kennedy Key given Shear Stress in Key Example

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Here is how the Length of Kennedy Key given Shear Stress in Key equation looks like with Values.

Here is how the Length of Kennedy Key given Shear Stress in Key equation looks like with Units.

Here is how the Length of Kennedy Key given Shear Stress in Key equation looks like.

35.0626 = \frac{712763.6}{\sqrt{2} \cdot 44.99 \cdot 5 \cdot 63.9}

35.0626mm = \frac{712763.6N*mm}{\sqrt{2} \cdot 44.99mm \cdot 5mm \cdot 63.9N/mm²}

35.0626 = \frac{712763.6}{\sqrt{2} \cdot 44.99 \cdot 5 \cdot 63.9}

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Length of Kennedy Key given Shear Stress in Key Solution

Follow our step by step solution on how to calculate Length of Kennedy Key given Shear Stress in Key?

FIRST Step Consider the formula

l = \frac{Mt k}{\sqrt{2} \cdot d s \cdot b k \cdot 𝜏}

Next Step Substitute values of Variables

∴

l = \frac{712763.6N*mm}{\sqrt{2} \cdot 44.99mm \cdot 5mm \cdot 63.9N/mm²}

Next Step Convert Units

∴

l = \frac{712.7636N*m}{\sqrt{2} \cdot 0.045m \cdot 0.005m \cdot 6.4E+7Pa}

Next Step Prepare to Evaluate

∴

l = \frac{712.7636}{\sqrt{2} \cdot 0.045 \cdot 0.005 \cdot 6.4E+7}

Next Step Evaluate

∴

l = 0.0350625786076484m

Next Step Convert to Output's Unit

∴

l = 35.0625786076484mm

LAST Step Rounding Answer

∴

l = 35.0626mm

Length of Kennedy Key given Shear Stress in Key Formula Elements

Variables

Functions

Length of Key

The Length of Key is the measurement of the key used in mechanical systems to secure components and transmit torque between shafts and hubs.

Symbol: l

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Key

Transmitted Torque by Kennedy Key

The Transmitted Torque by Kennedy Key is the torque that a Kennedy key can effectively transmit between two connected machine components without slipping or failure.

Symbol: Mt_k

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Transmitted Torque by Kennedy Key

Diameter of Shaft using Key

The Diameter of Shaft using Key is the measurement across the widest part of a shaft that accommodates a key for secure attachment and torque transmission.

Symbol: d_s

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Shaft using Key

Width of Key

The Width of Key is the measurement of the key's thickness, which ensures proper fit and function within a mechanical assembly, preventing slippage and ensuring torque transmission.

Symbol: b_k

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Key

Shear Stress in Key

The Shear Stress in Key is the internal force per unit area within a key, which helps transmit torque between a shaft and a hub in mechanical systems.

Symbol: 𝜏

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Key

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Length of Key

Go Length of Kennedy Key given Compressive Stress in Key

l = \sqrt{2} \cdot \frac{Mt k}{d s \cdot b k \cdot σ c}

Other formulas in Design of Kennedy Key category

Go Shear Stress in Kennedy Key

𝜏 = \frac{Mt k}{\sqrt{2} \cdot d s \cdot b k \cdot l}

Go Torque Transmitted by Kennedy Key given Shear Stress in Key

Mt k = 𝜏 \cdot \sqrt{2} \cdot d s \cdot b k \cdot l

Go Diameter of Shaft given Shear Stress in Kennedy Key

d s = \frac{Mt k}{\sqrt{2} \cdot 𝜏 \cdot b k \cdot l}

Go Compressive Stress in Kennedy Key

σ c = \sqrt{2} \cdot \frac{Mt k}{d s \cdot b k \cdot l}

How to Evaluate Length of Kennedy Key given Shear Stress in Key?

Length of Kennedy Key given Shear Stress in Key evaluator uses Length of Key = Transmitted Torque by Kennedy Key/(sqrt(2)*Diameter of Shaft using Key*Width of Key*Shear Stress in Key) to evaluate the Length of Key, Length of Kennedy Key given Shear Stress in Key formula is defined as a method to determine the appropriate length of a Kennedy key based on the shear stress it experiences. This ensures the key can effectively transmit torque without failing under operational conditions. Length of Key is denoted by l symbol.

How to evaluate Length of Kennedy Key given Shear Stress in Key using this online evaluator? To use this online evaluator for Length of Kennedy Key given Shear Stress in Key, enter Transmitted Torque by Kennedy Key (Mt_k), Diameter of Shaft using Key (d_s), Width of Key (b_k) & Shear Stress in Key (𝜏) and hit the calculate button.

FAQs on Length of Kennedy Key given Shear Stress in Key

What is the formula to find Length of Kennedy Key given Shear Stress in Key?

The formula of Length of Kennedy Key given Shear Stress in Key is expressed as Length of Key = Transmitted Torque by Kennedy Key/(sqrt(2)*Diameter of Shaft using Key*Width of Key*Shear Stress in Key). Here is an example- 39287.3 = 712.7636/(sqrt(2)*0.04498998*0.005*63900000).

How to calculate Length of Kennedy Key given Shear Stress in Key?

With Transmitted Torque by Kennedy Key (Mt_k), Diameter of Shaft using Key (d_s), Width of Key (b_k) & Shear Stress in Key (𝜏) we can find Length of Kennedy Key given Shear Stress in Key using the formula - Length of Key = Transmitted Torque by Kennedy Key/(sqrt(2)*Diameter of Shaft using Key*Width of Key*Shear Stress in Key). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Length of Key?

Here are the different ways to Calculate Length of Key-

Length of Key=sqrt(2)*Transmitted Torque by Kennedy Key/(Diameter of Shaft using Key*Width of Key*Compressive Stress in Key)

Can the Length of Kennedy Key given Shear Stress in Key be negative?

No, the Length of Kennedy Key given Shear Stress in Key, measured in Length cannot be negative.

Which unit is used to measure Length of Kennedy Key given Shear Stress in Key?

Length of Kennedy Key given Shear Stress in Key is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Length of Kennedy Key given Shear Stress in Key can be measured.

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Length of Kennedy Key given Shear Stress in Key Formula

​GoLength of Kennedy Key given Compressive Stress in Key Formula

Length of Kennedy Key given Shear Stress in Key Example

Length of Kennedy Key given Shear Stress in Key Solution

Length of Kennedy Key given Shear Stress in Key Formula Elements

Other Formulas to find Length of Key

Other formulas in Design of Kennedy Key category

How to Evaluate Length of Kennedy Key given Shear Stress in Key?

FAQs on Length of Kennedy Key given Shear Stress in Key

Variable Name

GoLength of Kennedy Key given Compressive Stress in Key Formula