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Crushing Strength of Key Formula

GoTangential Force at Circumference of Shaft Formula

GoShear Strength of Key Formula

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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. Check FAQs

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

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

Crushing Strength of Key Example

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With units

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Here is how the Crushing Strength of Key equation looks like with Values.

Here is how the Crushing Strength of Key equation looks like with Units.

Here is how the Crushing Strength of Key equation looks like.

51.8 = (35) \cdot (\frac{0.2}{2}) \cdot 14.8

51.8N = (35mm) \cdot (\frac{0.2mm}{2}) \cdot 14.8N/mm²

51.8 = (35) \cdot (\frac{0.2}{2}) \cdot 14.8

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Crushing Strength of Key Solution

Follow our step by step solution on how to calculate Crushing Strength of Key?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

F = (35mm) \cdot (\frac{0.2mm}{2}) \cdot 14.8N/mm²

Next Step Convert Units

∴

F = (0.035m) \cdot (\frac{0.0002m}{2}) \cdot 1.5E+7Pa

Next Step Prepare to Evaluate

∴

F = (0.035) \cdot (\frac{0.0002}{2}) \cdot 1.5E+7

LAST Step Evaluate

∴

F = 51.8N

Crushing Strength of Key Formula Elements

Variables

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

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

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

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

Other Formulas to find Tangential Force

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

Other formulas in Design of Key category

Go Crushing Stress in Key

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

Go Length of Square Key

l = 1.5 \cdot (d shaft)

Go Length of Rectangular Key

l = 1.5 \cdot (d shaft)

Go Thickness of Key based on Crushing Stress

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

How to Evaluate Crushing Strength of Key?

Crushing Strength of Key evaluator uses Tangential Force = (Length of Key)*(Thickness of Key/2)*Crushing Stress in Key to evaluate the Tangential Force, The Crushing Strength of Key formula is defined as the capacity of a material or structure to withstand loads on circumference of shaft. Tangential Force is denoted by F symbol.

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

FAQs on Crushing Strength of Key

What is the formula to find Crushing Strength of Key?

The formula of Crushing Strength of Key is expressed as Tangential Force = (Length of Key)*(Thickness of Key/2)*Crushing Stress in Key. Here is an example- 51.8 = (0.035)*(0.0002/2)*14800000.

How to calculate Crushing Strength of Key?

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

What are the other ways to Calculate Tangential Force?

Here are the different ways to Calculate Tangential Force-

Tangential Force=Maximum Torque/(Diameter of Shaft/2)
Tangential Force=(Length of Key)*(Width of Key)*Shear Stress in the Key

Can the Crushing Strength of Key be negative?

No, the Crushing Strength of Key, measured in Force cannot be negative.

Which unit is used to measure Crushing Strength of Key?

Crushing Strength of Key is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Crushing Strength of Key can be measured.

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: Unit

Crushing Strength of Key Formula

​GoTangential Force at Circumference of Shaft Formula

​GoShear Strength of Key Formula

Crushing Strength of Key Example

Crushing Strength of Key Solution

Crushing Strength of Key Formula Elements

Other Formulas to find Tangential Force

Other formulas in Design of Key category

How to Evaluate Crushing Strength of Key?

FAQs on Crushing Strength of Key

Variable Name

GoTangential Force at Circumference of Shaft Formula

GoShear Strength of Key Formula