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Shear Strength of Key Formula

GoTangential Force at Circumference of Shaft Formula

GoCrushing 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 (b k) \cdot f s

F - Tangential Force?l - Length of Key?b_k - Width of Key?f_s - Shear Stress in the Key?

Shear Strength of Key Example

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With units

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

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

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

1750 = (35) \cdot (5) \cdot 10

1750N = (35mm) \cdot (5mm) \cdot 10N/mm²

1750 = (35) \cdot (5) \cdot 10

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Shear Strength of Key Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

F = (35mm) \cdot (5mm) \cdot 10N/mm²

Next Step Convert Units

∴

F = (0.035m) \cdot (0.005m) \cdot 1E+7Pa

Next Step Prepare to Evaluate

∴

F = (0.035) \cdot (0.005) \cdot 1E+7

LAST Step Evaluate

∴

F = 1750N

Shear 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

Width of Key

Width of Key is defined as the width of the key that is fixed in between the shaft and the hub to prevent relative movement between a power transmitting shaft and an attached component.

Symbol: b_k

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Key

Shear Stress in the Key

Shear Stress in the Key a key is utilized as a part of transmitting torque from a pole to a rotor or center, the accompanying two sorts of strengths follow up on the key.

Symbol: f_s

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in the Key

Other Formulas to find Tangential Force

Go Tangential Force at Circumference of Shaft

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

Go Crushing Strength of Key

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

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 Shear Strength of Key?

Shear Strength of Key evaluator uses Tangential Force = (Length of Key)*(Width of Key)*Shear Stress in the Key to evaluate the Tangential Force, The Shear Strength of Key formula is defined as its ability to resist forces that cause the material's internal structure to slide against itself. The shear strength of a material can be measured in either the vertical or horizontal direction. Tangential Force is denoted by F symbol.

How to evaluate Shear Strength of Key using this online evaluator? To use this online evaluator for Shear Strength of Key, enter Length of Key (l), Width of Key (b_k) & Shear Stress in the Key (f_s) and hit the calculate button.

FAQs on Shear Strength of Key

What is the formula to find Shear Strength of Key?

The formula of Shear Strength of Key is expressed as Tangential Force = (Length of Key)*(Width of Key)*Shear Stress in the Key. Here is an example- 1750 = (0.035)*(0.005)*10000000.

How to calculate Shear Strength of Key?

With Length of Key (l), Width of Key (b_k) & Shear Stress in the Key (f_s) we can find Shear Strength of Key using the formula - Tangential Force = (Length of Key)*(Width of Key)*Shear Stress in the 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)*(Thickness of Key/2)*Crushing Stress in Key

Can the Shear Strength of Key be negative?

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

Which unit is used to measure Shear Strength of Key?

Shear 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 Shear Strength of Key can be measured.

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Shear Strength of Key Formula

​GoTangential Force at Circumference of Shaft Formula

​GoCrushing Strength of Key Formula

Shear Strength of Key Example

Shear Strength of Key Solution

Shear Strength of Key Formula Elements

Other Formulas to find Tangential Force

Other formulas in Design of Key category

How to Evaluate Shear Strength of Key?

FAQs on Shear Strength of Key

Variable Name

GoTangential Force at Circumference of Shaft Formula

GoCrushing Strength of Key Formula