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Length of Key based on Crushing Stress in Key Formula

GoLength of Square Key Formula

GoLength of Rectangular Key Formula

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The Length of Key is defined as the length of the key which is used to prevent rotation of a machine component or it is the major dimension of the key. Check FAQs

l = \frac{F \cdot 2}{f c \cdot t}

l - Length of Key?F - Tangential Force?f_c - Crushing Stress in Key?t - Thickness of Key?

Length of Key based on Crushing Stress in Key Example

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With units

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Here is how the Length of Key based on Crushing Stress in Key equation looks like with Values.

Here is how the Length of Key based on Crushing Stress in Key equation looks like with Units.

Here is how the Length of Key based on Crushing Stress in Key equation looks like.

0.0002 = \frac{236.6 \cdot 2}{14.8 \cdot 0.2}

0.0002mm = \frac{236.6N \cdot 2}{14.8N/mm² \cdot 0.2mm}

0.0002 = \frac{236.6 \cdot 2}{14.8 \cdot 0.2}

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Length of Key based on Crushing Stress in Key Solution

Follow our step by step solution on how to calculate Length of Key based on Crushing Stress in Key?

FIRST Step Consider the formula

l = \frac{F \cdot 2}{f c \cdot t}

Next Step Substitute values of Variables

∴

l = \frac{236.6N \cdot 2}{14.8N/mm² \cdot 0.2mm}

Next Step Convert Units

∴

l = \frac{236.6N \cdot 2}{1.5E+7Pa \cdot 0.2mm}

Next Step Prepare to Evaluate

∴

l = \frac{236.6 \cdot 2}{1.5E+7 \cdot 0.2}

Next Step Evaluate

∴

l = 1.59864864864865E-07m

Next Step Convert to Output's Unit

∴

l = 0.000159864864864865mm

LAST Step Rounding Answer

∴

l = 0.0002mm

Length of Key based on Crushing Stress in Key Formula Elements

Variables

Length of Key

The Length of Key is defined as the length of the key which is used to prevent rotation of a machine component or it is the major dimension of the key.

Symbol: l

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Key

Tangential Force

The Tangential force is the force that acts on a moving body in the direction of a tangent to the curved path of the body.

Symbol: F

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Tangential Force

Crushing Stress in Key

Crushing Stress in Key for the material is double the permissible shear stress.

Symbol: f_c

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Crushing Stress in Key

Thickness of Key

The thickness of key is usually taken equal to one-sixth of diameter of shaft.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Key

Other Formulas to find Length of Key

Go Length of Square Key

l = 1.5 \cdot (d shaft)

Go Length of Rectangular Key

l = 1.5 \cdot (d shaft)

Other formulas in Design of Key category

Go Tangential Force at Circumference of Shaft

F = \frac{T m}{\frac{d shaft}{2}}

Go Shear Strength of Key

F = (l) \cdot (b k) \cdot f s

Go Crushing Strength of Key

F = (l) \cdot (\frac{t}{2}) \cdot f c

Go Crushing Stress in Key

f c = \frac{F \cdot 2}{t \cdot l}

How to Evaluate Length of Key based on Crushing Stress in Key?

Length of Key based on Crushing Stress in Key evaluator uses Length of Key = (Tangential Force*2)/(Crushing Stress in Key*Thickness of Key) to evaluate the Length of Key, The Length of Key based on Crushing Stress in Key refers to the minimum required length of a key used in a mechanical connection, such as a shaft and a hub, to ensure that the key can withstand the compressive forces without failing due to crushing stress. Length of Key is denoted by l symbol.

How to evaluate Length of Key based on Crushing Stress in Key using this online evaluator? To use this online evaluator for Length of Key based on Crushing Stress in Key, enter Tangential Force (F), Crushing Stress in Key (f_c) & Thickness of Key (t) and hit the calculate button.

FAQs on Length of Key based on Crushing Stress in Key

What is the formula to find Length of Key based on Crushing Stress in Key?

The formula of Length of Key based on Crushing Stress in Key is expressed as Length of Key = (Tangential Force*2)/(Crushing Stress in Key*Thickness of Key). Here is an example- 0.015946 = (236.6*2)/(14800000*0.0002).

How to calculate Length of Key based on Crushing Stress in Key?

With Tangential Force (F), Crushing Stress in Key (f_c) & Thickness of Key (t) we can find Length of Key based on Crushing Stress in Key using the formula - Length of Key = (Tangential Force*2)/(Crushing Stress in Key*Thickness of Key).

What are the other ways to Calculate Length of Key?

Here are the different ways to Calculate Length of Key-

Length of Key=1.5*(Diameter of Shaft)
Length of Key=1.5*(Diameter of Shaft)

Can the Length of Key based on Crushing Stress in Key be negative?

No, the Length of Key based on Crushing Stress in Key, measured in Length cannot be negative.

Which unit is used to measure Length of Key based on Crushing Stress in Key?

Length of Key based on Crushing 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 Length of Key based on Crushing Stress in Key can be measured.

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Length of Key based on Crushing Stress in Key Formula

​GoLength of Square Key Formula

​GoLength of Rectangular Key Formula

Length of Key based on Crushing Stress in Key Example

Length of Key based on Crushing Stress in Key Solution

Length of Key based on Crushing Stress in Key Formula Elements

Other Formulas to find Length of Key

Other formulas in Design of Key category

How to Evaluate Length of Key based on Crushing Stress in Key?

FAQs on Length of Key based on Crushing Stress in Key

Variable Name

GoLength of Square Key Formula

GoLength of Rectangular Key Formula