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Compressive Stress in Square Key due to Transmitted Torque Formula

GoCompressive Stress in Key Formula

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Compressive Stress in Key is the force per unit area of a key cross-section that is responsible for the deformation of the material such that the volume of the material reduces. Check FAQs

σ c = 2 \cdot 𝜏

σ_c - Compressive Stress in Key?𝜏 - Shear Stress in Key?

Compressive Stress in Square Key due to Transmitted Torque Example

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Here is how the Compressive Stress in Square Key due to Transmitted Torque equation looks like with Values.

Here is how the Compressive Stress in Square Key due to Transmitted Torque equation looks like with Units.

Here is how the Compressive Stress in Square Key due to Transmitted Torque equation looks like.

127.8 = 2 \cdot 63.9

127.8N/mm² = 2 \cdot 63.9N/mm²

127.8 = 2 \cdot 63.9

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Compressive Stress in Square Key due to Transmitted Torque Solution

Follow our step by step solution on how to calculate Compressive Stress in Square Key due to Transmitted Torque?

FIRST Step Consider the formula

σ c = 2 \cdot 𝜏

Next Step Substitute values of Variables

∴

σ c = 2 \cdot 63.9N/mm²

Next Step Convert Units

∴

σ c = 2 \cdot 6.4E+7Pa

Next Step Prepare to Evaluate

∴

σ c = 2 \cdot 6.4E+7

Next Step Evaluate

∴

σ c = 127800000Pa

LAST Step Convert to Output's Unit

∴

σ c = 127.8N/mm²

Compressive Stress in Square Key due to Transmitted Torque Formula Elements

Variables

Compressive Stress in Key

Compressive Stress in Key is the force per unit area of a key cross-section that is responsible for the deformation of the material such that the volume of the material reduces.

Symbol: σ_c

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Compressive Stress in Key

Shear Stress in Key

Shear Stress in Key is the force per unit area tending to cause deformation of the key by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Key

Other Formulas to find Compressive Stress in Key

Go Compressive Stress in Key

σ c = 4 \cdot \frac{M t}{d s \cdot l \cdot h}

Other formulas in Design of Square and Flat Keys category

Go Force on Key

F = 2 \cdot \frac{M t}{d s}

Go Torque Transmitted by Keyed Shaft given Force on Keys

M t = F \cdot \frac{d s}{2}

Go Shaft Diameter given Force on Key

d s = 2 \cdot \frac{M t}{F}

Go Shear Stress in given Force on Key

𝜏 = \frac{F}{b k \cdot l}

How to Evaluate Compressive Stress in Square Key due to Transmitted Torque?

Compressive Stress in Square Key due to Transmitted Torque evaluator uses Compressive Stress in Key = 2*Shear Stress in Key to evaluate the Compressive Stress in Key, Compressive Stress in Square Key due to Transmitted Torque formula is defined as a measure of the internal stress experienced by a square key when torque is transmitted through it. This stress is crucial for ensuring the key's integrity and performance in mechanical applications. Compressive Stress in Key is denoted by σ_c symbol.

How to evaluate Compressive Stress in Square Key due to Transmitted Torque using this online evaluator? To use this online evaluator for Compressive Stress in Square Key due to Transmitted Torque, enter Shear Stress in Key (𝜏) and hit the calculate button.

FAQs on Compressive Stress in Square Key due to Transmitted Torque

What is the formula to find Compressive Stress in Square Key due to Transmitted Torque?

The formula of Compressive Stress in Square Key due to Transmitted Torque is expressed as Compressive Stress in Key = 2*Shear Stress in Key. Here is an example- 0.000128 = 2*63900000.

How to calculate Compressive Stress in Square Key due to Transmitted Torque?

With Shear Stress in Key (𝜏) we can find Compressive Stress in Square Key due to Transmitted Torque using the formula - Compressive Stress in Key = 2*Shear Stress in Key.

What are the other ways to Calculate Compressive Stress in Key?

Here are the different ways to Calculate Compressive Stress in Key-

Compressive Stress in Key=4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Length of Key*Height of Key)

Can the Compressive Stress in Square Key due to Transmitted Torque be negative?

No, the Compressive Stress in Square Key due to Transmitted Torque, measured in Stress cannot be negative.

Which unit is used to measure Compressive Stress in Square Key due to Transmitted Torque?

Compressive Stress in Square Key due to Transmitted Torque 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 Square Key due to Transmitted Torque can be measured.

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