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Compressive Stress in Kennedy Key Formula

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The Compressive Stress in Key is the internal stress experienced by a key due to axial loads, affecting its performance and stability in mechanical assemblies. Check FAQs

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

σ_c - Compressive 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?

Compressive Stress in Kennedy Key Example

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

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

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

128.0285 = \sqrt{2} \cdot \frac{712763.6}{44.99 \cdot 5 \cdot 35}

128.0285N/mm² = \sqrt{2} \cdot \frac{712763.6N*mm}{44.99mm \cdot 5mm \cdot 35mm}

128.0285 = \sqrt{2} \cdot \frac{712763.6}{44.99 \cdot 5 \cdot 35}

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Compressive Stress in Kennedy Key Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

σ c = 128028501.315928Pa

Next Step Convert to Output's Unit

∴

σ c = 128.028501315928N/mm²

LAST Step Rounding Answer

∴

σ c = 128.0285N/mm²

Compressive Stress in Kennedy Key Formula Elements

Variables

Functions

Compressive Stress in Key

The Compressive Stress in Key is the internal stress experienced by a key due to axial loads, affecting its performance and stability in mechanical assemblies.

Symbol: σ_c

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Compressive 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 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 Length of Kennedy Key given Shear Stress in Key

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

How to Evaluate Compressive Stress in Kennedy Key?

Compressive Stress in Kennedy Key evaluator uses Compressive Stress in Key = sqrt(2)*Transmitted Torque by Kennedy Key/(Diameter of Shaft using Key*Width of Key*Length of Key) to evaluate the Compressive Stress in Key, Compressive Stress in Kennedy Key formula is defined as a measure of the internal stress experienced by a Kennedy key when subjected to compressive forces. This stress is crucial for ensuring the key's integrity and performance within mechanical assemblies, particularly in machine design applications. Compressive Stress in Key is denoted by σ_c symbol.

How to evaluate Compressive Stress in Kennedy Key using this online evaluator? To use this online evaluator for Compressive 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 Compressive Stress in Kennedy Key

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

The formula of Compressive Stress in Kennedy Key is expressed as Compressive Stress in Key = sqrt(2)*Transmitted Torque by Kennedy Key/(Diameter of Shaft using Key*Width of Key*Length of Key). Here is an example- 0.000143 = sqrt(2)*712.7636/(0.04498998*0.005*0.035).

How to calculate Compressive 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 Compressive Stress in Kennedy Key using the formula - Compressive Stress in Key = sqrt(2)*Transmitted Torque by Kennedy Key/(Diameter of Shaft using Key*Width of Key*Length of Key). This formula also uses Square Root (sqrt) function(s).

Can the Compressive Stress in Kennedy Key be negative?

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

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

Compressive 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 Compressive Stress in Kennedy Key can be measured.

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Compressive Stress in Kennedy Key Formula

Compressive Stress in Kennedy Key Example

Compressive Stress in Kennedy Key Solution

Compressive Stress in Kennedy Key Formula Elements

Other formulas in Design of Kennedy Key category

How to Evaluate Compressive Stress in Kennedy Key?

FAQs on Compressive Stress in Kennedy Key

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