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The Length of Key is the measurement of the key used in mechanical systems to secure components and transmit torque between shafts and hubs. Check FAQs
l=4⋅Mtds⋅σc⋅h
l - Length of Key?Mt - Transmitted Torque by Keyed Shaft?ds - Diameter of Shaft using Key?σc - Compressive Stress in Key?h - Height of Key?

Length of Key given Compressive Stress in Key Example

With values
With units
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Here is how the Length of Key given Compressive Stress in Key equation looks like with Values.

Here is how the Length of Key given Compressive Stress in Key equation looks like with Units.

Here is how the Length of Key given Compressive Stress in Key equation looks like.

34.6528Edit=4⋅224500Edit44.99Edit⋅128Edit⋅4.5Edit
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Length of Key given Compressive Stress in Key Solution

Follow our step by step solution on how to calculate Length of Key given Compressive Stress in Key?

FIRST Step Consider the formula
l=4⋅Mtds⋅σc⋅h
Next Step Substitute values of Variables
∴ l=4⋅224500N*mm44.99mm⋅128N/mm²⋅4.5mm
Next Step Convert Units
∴ l=4⋅224.5N*m0.045m⋅1.3E+8Pa⋅0.0045m
Next Step Prepare to Evaluate
∴ l=4⋅224.50.045⋅1.3E+8⋅0.0045
Next Step Evaluate
∴l=0.0346527777469067m
Next Step Convert to Output's Unit
∴l=34.6527777469067mm
LAST Step Rounding Answer
∴l=34.6528mm

Length of Key given Compressive Stress in Key Formula Elements

Variables
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 KeyOpen Variable
Transmitted Torque by Keyed Shaft
The Transmitted Torque by Keyed Shaft is the rotational force transferred through a keyed connection, essential for ensuring reliable power transmission in mechanical systems.
Symbol: Mt
Measurement: TorqueUnit: N*mm
Note: Value should be greater than 0.
Formulas to find Transmitted Torque by Keyed ShaftOpen Variable
Diameter of Shaft using Key
The Diameter of Shaft using Key is the measurement across the widest part of a shaft that accommodates a key for secure attachment and torque transmission.
Symbol: ds
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Formulas to find Diameter of Shaft using KeyOpen Variable
Compressive Stress in Key
The Compressive Stress in Key is the internal stress experienced by a key due to axial loads, affecting its performance and stability in mechanical assemblies.
Symbol: σc
Measurement: StressUnit: N/mm²
Note: Value should be greater than 0.
Formulas to find Compressive Stress in KeyOpen Variable
Height of Key
The Height of Key is the vertical measurement of a key used in mechanical design, ensuring proper fit and alignment within a machine component.
Symbol: h
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Formulas to find Height of KeyOpen Variable

Other Formulas to find Length of Key

​Go Length of Key given Shear Stress
l=Fbk⋅𝜏

Other formulas in Design of Square and Flat Keys category

​Go Force on Key
F=2⋅Mtds
​Go Torque Transmitted by Keyed Shaft given Force on Keys
Mt=F⋅ds2
​Go Shaft Diameter given Force on Key
ds=2⋅MtF
​Go Shear Stress in given Force on Key
𝜏flat key=Fbk⋅l

How to Evaluate Length of Key given Compressive Stress in Key?

Length of Key given Compressive Stress in Key evaluator uses Length of Key = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Compressive Stress in Key*Height of Key) to evaluate the Length of Key, Length of Key given Compressive Stress in Key formula is defined as a method to determine the appropriate dimensions of a key in mechanical design, ensuring it can withstand the compressive stress without failure. This is crucial for the reliability and safety of mechanical assemblies. Length of Key is denoted by l symbol.

How to evaluate Length of Key given Compressive Stress in Key using this online evaluator? To use this online evaluator for Length of Key given Compressive Stress in Key, enter Transmitted Torque by Keyed Shaft (Mt), Diameter of Shaft using Key (ds), Compressive Stress in Key (σc) & Height of Key (h) and hit the calculate button.

FAQs on Length of Key given Compressive Stress in Key

What is the formula to find Length of Key given Compressive Stress in Key?
The formula of Length of Key given Compressive Stress in Key is expressed as Length of Key = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Compressive Stress in Key*Height of Key). Here is an example- 35000 = 4*224.5/(0.04498998*128000000*0.0045).
How to calculate Length of Key given Compressive Stress in Key?
With Transmitted Torque by Keyed Shaft (Mt), Diameter of Shaft using Key (ds), Compressive Stress in Key (σc) & Height of Key (h) we can find Length of Key given Compressive Stress in Key using the formula - Length of Key = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Compressive Stress in Key*Height 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=Force on Key/(Width of Key*Shear Stress in Key)OpenImg
Can the Length of Key given Compressive Stress in Key be negative?
No, the Length of Key given Compressive Stress in Key, measured in Length cannot be negative.
Which unit is used to measure Length of Key given Compressive Stress in Key?
Length of Key given Compressive 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 given Compressive Stress in Key can be measured.
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