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Width of Key given Shear Stress in Key Formula

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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. Check FAQs

b k = \frac{F}{𝜏 flat key \cdot l}

b_k - Width of Key?F - Force on Key?𝜏_{flat key} - Shear Stress?l - Length of Key?

Width of Key given Shear Stress in Key Example

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Here is how the Width of Key given Shear Stress in Key equation looks like with Values.

Here is how the Width of Key given Shear Stress in Key equation looks like with Units.

Here is how the Width of Key given Shear Stress in Key equation looks like.

5 = \frac{9980}{57.0286 \cdot 35}

5mm = \frac{9980N}{57.0286N/mm² \cdot 35mm}

5 = \frac{9980}{57.0286 \cdot 35}

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Width of Key given Shear Stress in Key Solution

Follow our step by step solution on how to calculate Width of Key given Shear Stress in Key?

FIRST Step Consider the formula

b k = \frac{F}{𝜏 flat key \cdot l}

Next Step Substitute values of Variables

∴

b k = \frac{9980N}{57.0286N/mm² \cdot 35mm}

Next Step Convert Units

∴

b k = \frac{9980N}{5.7E+7Pa \cdot 0.035m}

Next Step Prepare to Evaluate

∴

b k = \frac{9980}{5.7E+7 \cdot 0.035}

Next Step Evaluate

∴

b k = 0.0050000001252505m

Next Step Convert to Output's Unit

∴

b k = 5.0000001252505mm

LAST Step Rounding Answer

∴

b k = 5mm

Width of Key given Shear Stress in Key Formula Elements

Variables

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

Force on Key

The Force on Key is the load applied to a key in a mechanical assembly, crucial for ensuring proper engagement and transmission of torque between components.

Symbol: F

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force on Key

Shear Stress

The Shear Stress is the force per unit area acting parallel to a material's surface, crucial for understanding material strength in mechanical design applications.

Symbol: 𝜏_{flat key}

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress

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

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 Width of Key given Shear Stress in Key?

Width of Key given Shear Stress in Key evaluator uses Width of Key = Force on Key/(Shear Stress*Length of Key) to evaluate the Width of Key, Width of Key given Shear Stress in Key formula is defined as a method to determine the necessary width of a key in mechanical design, ensuring it can withstand the applied shear stress without failure. This is crucial for the reliability and safety of mechanical assemblies. Width of Key is denoted by b_k symbol.

How to evaluate Width of Key given Shear Stress in Key using this online evaluator? To use this online evaluator for Width of Key given Shear Stress in Key, enter Force on Key (F), Shear Stress (𝜏_{flat key}) & Length of Key (l) and hit the calculate button.

FAQs on Width of Key given Shear Stress in Key

What is the formula to find Width of Key given Shear Stress in Key?

The formula of Width of Key given Shear Stress in Key is expressed as Width of Key = Force on Key/(Shear Stress*Length of Key). Here is an example- 5000 = 9980/(57028570*0.035).

How to calculate Width of Key given Shear Stress in Key?

With Force on Key (F), Shear Stress (𝜏_{flat key}) & Length of Key (l) we can find Width of Key given Shear Stress in Key using the formula - Width of Key = Force on Key/(Shear Stress*Length of Key).

Can the Width of Key given Shear Stress in Key be negative?

No, the Width of Key given Shear Stress in Key, measured in Length cannot be negative.

Which unit is used to measure Width of Key given Shear Stress in Key?

Width of Key given Shear Stress in Key is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Width of Key given Shear Stress in Key can be measured.

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Width of Key given Shear Stress in Key Formula

Width of Key given Shear Stress in Key Example

Width of Key given Shear Stress in Key Solution

Width of Key given Shear Stress in Key Formula Elements

Other formulas in Design of Square and Flat Keys category

How to Evaluate Width of Key given Shear Stress in Key?

FAQs on Width of Key given Shear Stress in Key

Variable Name