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Torque Transmitted by Kennedy Key given Shear Stress in Key Formula

GoTorque Transmitted by Kennedy Key given Compressive Stress in Key Formula

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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. Check FAQs

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

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

Torque Transmitted by Kennedy Key given Shear Stress in Key Example

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Here is how the Torque Transmitted by Kennedy Key given Shear Stress in Key equation looks like with Values.

Here is how the Torque Transmitted by Kennedy Key given Shear Stress in Key equation looks like with Units.

Here is how the Torque Transmitted by Kennedy Key given Shear Stress in Key equation looks like.

711491.4815 = 63.9 \cdot \sqrt{2} \cdot 44.99 \cdot 5 \cdot 35

711491.4815N*mm = 63.9N/mm² \cdot \sqrt{2} \cdot 44.99mm \cdot 5mm \cdot 35mm

711491.4815 = 63.9 \cdot \sqrt{2} \cdot 44.99 \cdot 5 \cdot 35

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Torque Transmitted by Kennedy Key given Shear Stress in Key Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Mt k = 63.9N/mm² \cdot \sqrt{2} \cdot 44.99mm \cdot 5mm \cdot 35mm

Next Step Convert Units

∴

Mt k = 6.4E+7Pa \cdot \sqrt{2} \cdot 0.045m \cdot 0.005m \cdot 0.035m

Next Step Prepare to Evaluate

∴

Mt k = 6.4E+7 \cdot \sqrt{2} \cdot 0.045 \cdot 0.005 \cdot 0.035

Next Step Evaluate

∴

Mt k = 711.491481535196N*m

Next Step Convert to Output's Unit

∴

Mt k = 711491.481535196N*mm

LAST Step Rounding Answer

∴

Mt k = 711491.4815N*mm

Torque Transmitted by Kennedy Key given Shear Stress in Key Formula Elements

Variables

Functions

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

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

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

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

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 Transmitted Torque by Kennedy Key

Go Torque Transmitted by Kennedy Key given Compressive Stress in Key

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

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 Diameter of Shaft given Shear Stress in Kennedy Key

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

Go Length of Kennedy Key given Shear Stress in Key

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

Go Compressive Stress in Kennedy Key

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

How to Evaluate Torque Transmitted by Kennedy Key given Shear Stress in Key?

Torque Transmitted by Kennedy Key given Shear Stress in Key evaluator uses Transmitted Torque by Kennedy Key = Shear Stress in Key*sqrt(2)*Diameter of Shaft using Key*Width of Key*Length of Key to evaluate the Transmitted Torque by Kennedy Key, Torque Transmitted by Kennedy Key given Shear Stress in Key formula is defined as a measure of the rotational force that a Kennedy key can transmit based on the shear stress acting on it. This is crucial for ensuring the integrity and performance of mechanical systems. Transmitted Torque by Kennedy Key is denoted by Mt_k symbol.

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

FAQs on Torque Transmitted by Kennedy Key given Shear Stress in Key

What is the formula to find Torque Transmitted by Kennedy Key given Shear Stress in Key?

The formula of Torque Transmitted by Kennedy Key given Shear Stress in Key is expressed as Transmitted Torque by Kennedy Key = Shear Stress in Key*sqrt(2)*Diameter of Shaft using Key*Width of Key*Length of Key. Here is an example- 6.3E+8 = 63900000*sqrt(2)*0.04498998*0.005*0.035.

How to calculate Torque Transmitted by Kennedy Key given Shear Stress in Key?

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

What are the other ways to Calculate Transmitted Torque by Kennedy Key?

Here are the different ways to Calculate Transmitted Torque by Kennedy Key-

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

Can the Torque Transmitted by Kennedy Key given Shear Stress in Key be negative?

No, the Torque Transmitted by Kennedy Key given Shear Stress in Key, measured in Torque cannot be negative.

Which unit is used to measure Torque Transmitted by Kennedy Key given Shear Stress in Key?

Torque Transmitted by Kennedy Key given Shear Stress in Key is usually measured using the Newton Millimeter[N*mm] for Torque. Newton Meter[N*mm], Newton Centimeter[N*mm], Kilonewton Meter[N*mm] are the few other units in which Torque Transmitted by Kennedy Key given Shear Stress in Key can be measured.

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Torque Transmitted by Kennedy Key given Shear Stress in Key Formula

​GoTorque Transmitted by Kennedy Key given Compressive Stress in Key Formula

Torque Transmitted by Kennedy Key given Shear Stress in Key Example

Torque Transmitted by Kennedy Key given Shear Stress in Key Solution

Torque Transmitted by Kennedy Key given Shear Stress in Key Formula Elements

Other Formulas to find Transmitted Torque by Kennedy Key

Other formulas in Design of Kennedy Key category

How to Evaluate Torque Transmitted by Kennedy Key given Shear Stress in Key?

FAQs on Torque Transmitted by Kennedy Key given Shear Stress in Key

Variable Name

GoTorque Transmitted by Kennedy Key given Compressive Stress in Key Formula