Length of Key based on Crushing Stress in Key Calculator

✖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.ⓘ Tangential Force [F]			+10% -10%
✖Crushing Stress in Key for the material is double the permissible shear stress.ⓘ Crushing Stress in Key [f_c]			+10% -10%
✖The thickness of key is usually taken equal to one-sixth of diameter of shaft.ⓘ Thickness of Key [t]			+10% -10%

✖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.ⓘ Length of Key based on Crushing Stress in Key [l]

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Formula

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Length of Key based on Crushing Stress in Key

Formula

`"l" = ("F"*2)/("f"_{"c"}*"t")`

Example

`"0.00016mm"=("236.6N"*2)/("14.8N/mm²"*"0.2mm")`

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Length of Key based on Crushing Stress in Key Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Key = (Tangential Force*2)/(Crushing Stress in Key*Thickness of Key)
l = (F*2)/(f_c*t)
This formula uses 4 Variables

Variables Used

Length of Key - (Measured in Millimeter) - 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.
Tangential Force - (Measured in Newton) - 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.
Crushing Stress in Key - (Measured in Pascal) - Crushing Stress in Key for the material is double the permissible shear stress.
Thickness of Key - (Measured in Millimeter) - The thickness of key is usually taken equal to one-sixth of diameter of shaft.

STEP 1: Convert Input(s) to Base Unit

Tangential Force: 236.6 Newton --> 236.6 Newton No Conversion Required
Crushing Stress in Key: 14.8 Newton per Square Millimeter --> 14800000 Pascal (Check conversion here)
Thickness of Key: 0.2 Millimeter --> 0.2 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l = (F*2)/(f_c*t) --> (236.6*2)/(14800000*0.2)

Evaluating ... ...

l = 0.000159864864864865

STEP 3: Convert Result to Output's Unit

1.59864864864865E-07 Meter -->0.000159864864864865 Millimeter (Check conversion here)

FINAL ANSWER

0.000159864864864865 ≈ 0.00016 Millimeter <-- Length of Key

(Calculation completed in 00.004 seconds)

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< 8 Design of Key Calculators

Length of Key based on Crushing Stress in Key

Go Length of Key = (Tangential Force*2)/(Crushing Stress in Key*Thickness of Key)

Thickness of Key based on Crushing Stress

Go Thickness of Key = (Tangential Force*2)/(Crushing Stress in Key*Length of Key)

Crushing Strength of Key

Go Tangential Force = (Length of Key)*(Thickness of Key/2)*Crushing Stress in Key

Crushing Stress in Key

Go Crushing Stress in Key = (Tangential Force*2)/(Thickness of Key*Length of Key)

Shear Strength of Key

Go Tangential Force = (Length of Key)*(Width of Key)*Shear Stress in the Key

Tangential Force at Circumference of Shaft

Go Tangential Force = Maximum Torque/(Diameter of Shaft/2)

Length of Rectangular Key

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

Length of Square Key

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

Length of Key based on Crushing Stress in Key Formula

Length of Key = (Tangential Force*2)/(Crushing Stress in Key*Thickness of Key)
l = (F*2)/(f_c*t)

What is Crushing Stress?

Crushing stress, also known as compressive stress, is a mechanical stress that occurs when a material is subjected to a force or load that acts to compress or crush it. It is the stress experienced by a material when it is pushed or squeezed, causing it to decrease in volume or become more compact. Crushing stress is the opposite of tensile stress, which occurs when a material is subjected to a stretching or pulling force. When a material is under crushing stress, its molecules or particles are pushed closer together, and this stress can lead to deformation, failure, or structural damage if the material's strength is exceeded.

What is the main function of Keys?

Shafts and hubs are usually fastened together by means of keys. The main function of a key is to transmit the torque preventing relative motion between a shaft and a machine part assembled on it. Keys are used as temporary fasteners which can be easily disassembled. Keys are subjected to considerable crushing and shearing stresses.

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

Length of Key based on Crushing Stress in Key calculator uses Length of Key = (Tangential Force*2)/(Crushing Stress in Key*Thickness of Key) to calculate 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 calculate Length of Key based on Crushing Stress in Key using this online calculator? To use this online calculator 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. Here is how the Length of Key based on Crushing Stress in Key calculation can be explained with given input values -> 0.015946 = (236.6*2)/(14800000*0.0002).

FAQ

What is Length of Key based on Crushing Stress in 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 and is represented as l = (F*2)/(f_c*t) or Length of Key = (Tangential Force*2)/(Crushing Stress in Key*Thickness of Key). 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, Crushing Stress in Key for the material is double the permissible shear stress & The thickness of key is usually taken equal to one-sixth of diameter of shaft.

How to calculate Length of Key based on Crushing Stress in 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 is calculated using Length of Key = (Tangential Force*2)/(Crushing Stress in Key*Thickness of Key). To calculate Length of Key based on Crushing Stress in Key, you need Tangential Force (F), Crushing Stress in Key (f_c) & Thickness of Key (t). With our tool, you need to enter the respective value for Tangential Force, Crushing Stress in Key & Thickness of Key and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Length of Key?

In this formula, Length of Key uses Tangential Force, Crushing Stress in Key & Thickness of Key. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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