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Shear Stress in Kennedy Key Formula

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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. Check FAQs

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

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

Shear Stress in Kennedy Key Example

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

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

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

64.0143 = \frac{712763.6}{\sqrt{2} \cdot 44.99 \cdot 5 \cdot 35}

64.0143N/mm² = \frac{712763.6N*mm}{\sqrt{2} \cdot 44.99mm \cdot 5mm \cdot 35mm}

64.0143 = \frac{712763.6}{\sqrt{2} \cdot 44.99 \cdot 5 \cdot 35}

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Shear Stress in Kennedy Key Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

𝜏 = \frac{712763.6N*mm}{\sqrt{2} \cdot 44.99mm \cdot 5mm \cdot 35mm}

Next Step Convert Units

∴

𝜏 = \frac{712.7636N*m}{\sqrt{2} \cdot 0.045m \cdot 0.005m \cdot 0.035m}

Next Step Prepare to Evaluate

∴

𝜏 = \frac{712.7636}{\sqrt{2} \cdot 0.045 \cdot 0.005 \cdot 0.035}

Next Step Evaluate

∴

𝜏 = 64014250.6579638Pa

Next Step Convert to Output's Unit

∴

𝜏 = 64.0142506579638N/mm²

LAST Step Rounding Answer

∴

𝜏 = 64.0143N/mm²

Shear Stress in Kennedy Key Formula Elements

Variables

Functions

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

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

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 in Design of Kennedy Key category

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 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 Shear Stress in Kennedy Key?

Shear Stress in Kennedy Key evaluator uses Shear Stress in Key = Transmitted Torque by Kennedy Key/(sqrt(2)*Diameter of Shaft using Key*Width of Key*Length of Key) to evaluate the Shear Stress in Key, Shear Stress in Kennedy Key formula is defined as a measure of the internal resistance of a Kennedy key to shear forces. It helps in assessing the strength and stability of the key within mechanical assemblies, ensuring reliable performance under load conditions. Shear Stress in Key is denoted by 𝜏 symbol.

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

FAQs on Shear Stress in Kennedy Key

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

The formula of Shear Stress in Kennedy Key is expressed as Shear Stress in Key = Transmitted Torque by Kennedy Key/(sqrt(2)*Diameter of Shaft using Key*Width of Key*Length of Key). Here is an example- 7.2E-5 = 712.7636/(sqrt(2)*0.04498998*0.005*0.035).

How to calculate Shear Stress in Kennedy Key?

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

Can the Shear Stress in Kennedy Key be negative?

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

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

Shear Stress in Kennedy Key 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 Kennedy Key can be measured.

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Shear Stress in Kennedy Key Formula

Shear Stress in Kennedy Key Example

Shear Stress in Kennedy Key Solution

Shear Stress in Kennedy Key Formula Elements

Other formulas in Design of Kennedy Key category

How to Evaluate Shear Stress in Kennedy Key?

FAQs on Shear Stress in Kennedy Key

Variable Name