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Compressive Stress in Key Formula

GoCompressive Stress in Square Key due to Transmitted Torque 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 = 4 \cdot \frac{M t}{d s \cdot l \cdot h}

σ_c - Compressive Stress in Key?M_t - Transmitted Torque by Keyed Shaft?d_s - Diameter of Shaft using Key?l - Length of Key?h - Height of Key?

Compressive Stress in Key Example

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

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

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

126.7302 = 4 \cdot \frac{224500}{44.99 \cdot 35 \cdot 4.5}

126.7302N/mm² = 4 \cdot \frac{224500N*mm}{44.99mm \cdot 35mm \cdot 4.5mm}

126.7302 = 4 \cdot \frac{224500}{44.99 \cdot 35 \cdot 4.5}

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Compressive Stress in Key Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ c = 4 \cdot \frac{224500N*mm}{44.99mm \cdot 35mm \cdot 4.5mm}

Next Step Convert Units

∴

σ c = 4 \cdot \frac{224.5N*m}{0.045m \cdot 0.035m \cdot 0.0045m}

Next Step Prepare to Evaluate

∴

σ c = 4 \cdot \frac{224.5}{0.045 \cdot 0.035 \cdot 0.0045}

Next Step Evaluate

∴

σ c = 126730158.617259Pa

Next Step Convert to Output's Unit

∴

σ c = 126.730158617259N/mm²

LAST Step Rounding Answer

∴

σ c = 126.7302N/mm²

Compressive Stress in Key Formula Elements

Variables

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 Keyed Shaft

The Transmitted Torque by Keyed Shaft is the rotational force transferred through a keyed connection, essential for ensuring reliable power transmission in mechanical systems.

Symbol: M_t

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Transmitted Torque by Keyed Shaft

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

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

Height of Key

The Height of Key is the vertical measurement of a key used in mechanical design, ensuring proper fit and alignment within a machine component.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Height of Key

Other Formulas to find Compressive Stress in Key

Go Compressive Stress in Square Key due to Transmitted Torque

σ c = 2 \cdot 𝜏

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 flat key = \frac{F}{b k \cdot l}

How to Evaluate Compressive Stress in Key?

Compressive Stress in Key evaluator uses Compressive Stress in Key = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Length of Key*Height of Key) to evaluate the Compressive Stress in Key, Compressive Stress in Key formula is defined as a measure of the internal forces acting on a key within a mechanical assembly. It helps assess the strength and stability of the key under load, ensuring that it can effectively transmit torque without failure. Compressive Stress in Key is denoted by σ_c symbol.

How to evaluate Compressive Stress in Key using this online evaluator? To use this online evaluator for Compressive Stress in Key, enter Transmitted Torque by Keyed Shaft (M_t), Diameter of Shaft using Key (d_s), Length of Key (l) & Height of Key (h) and hit the calculate button.

FAQs on Compressive Stress in Key

What is the formula to find Compressive Stress in Key?

The formula of Compressive Stress in Key is expressed as Compressive Stress in Key = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Length of Key*Height of Key). Here is an example- 0.000128 = 4*224.5/(0.04498998*0.035*0.0045).

How to calculate Compressive Stress in Key?

With Transmitted Torque by Keyed Shaft (M_t), Diameter of Shaft using Key (d_s), Length of Key (l) & Height of Key (h) we can find Compressive Stress in Key using the formula - Compressive Stress in Key = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Length of Key*Height of 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=2*Shear Stress in Key

Can the Compressive Stress in Key be negative?

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

Which unit is used to measure Compressive Stress in Key?

Compressive Stress in 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 Key can be measured.

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Compressive Stress in Key Formula

​GoCompressive Stress in Square Key due to Transmitted Torque Formula

Compressive Stress in Key Example

Compressive Stress in Key Solution

Compressive Stress in Key Formula Elements

Other Formulas to find Compressive Stress in Key

Other formulas in Design of Square and Flat Keys category

How to Evaluate Compressive Stress in Key?

FAQs on Compressive Stress in Key

Variable Name

GoCompressive Stress in Square Key due to Transmitted Torque Formula