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Diameter of Shaft using Key is defined as the external surface diameter of a shaft (a rotating machine element) using a key into it. Check FAQs
ds=4⋅Mtσc⋅l⋅h
ds - Diameter of Shaft using Key?Mt - Transmitted Torque by Keyed Shaft?σc - Compressive Stress in Key?l - Length of Key?h - Height of Key?

Shaft Diameter given Compressive Stress in Key Example

With values
With units
Only example

Here is how the Shaft Diameter given Compressive Stress in Key equation looks like with Values.

Here is how the Shaft Diameter given Compressive Stress in Key equation looks like with Units.

Here is how the Shaft Diameter given Compressive Stress in Key equation looks like.

44.5437Edit=4⋅224500Edit128Edit⋅35Edit⋅4.5Edit
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Shaft Diameter given Compressive Stress in Key Solution

Follow our step by step solution on how to calculate Shaft Diameter given Compressive Stress in Key?

FIRST Step Consider the formula
ds=4⋅Mtσc⋅l⋅h
Next Step Substitute values of Variables
∴ ds=4⋅224500N*mm128N/mm²⋅35mm⋅4.5mm
Next Step Convert Units
∴ ds=4⋅224.5N*m1.3E+8Pa⋅0.035m⋅0.0045m
Next Step Prepare to Evaluate
∴ ds=4⋅224.51.3E+8⋅0.035⋅0.0045
Next Step Evaluate
∴ds=0.0445436507936508m
Next Step Convert to Output's Unit
∴ds=44.5436507936508mm
LAST Step Rounding Answer
∴ds=44.5437mm

Shaft Diameter given Compressive Stress in Key Formula Elements

Variables
Diameter of Shaft using Key
Diameter of Shaft using Key is defined as the external surface diameter of a shaft (a rotating machine element) using a key into it.
Symbol: ds
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Formulas to find Diameter of Shaft using KeyOpen Variable
Transmitted Torque by Keyed Shaft
Transmitted Torque by Keyed Shaft is defined as the amount of torque or the rotating power transferred from a shaft using a key into it.
Symbol: Mt
Measurement: TorqueUnit: N*mm
Note: Value should be greater than 0.
Formulas to find Transmitted Torque by Keyed ShaftOpen Variable
Compressive Stress in Key
Compressive Stress in Key is the force per unit area of a key cross-section that is responsible for the deformation of the material such that the volume of the material reduces.
Symbol: σc
Measurement: StressUnit: N/mm²
Note: Value should be greater than 0.
Formulas to find Compressive Stress in KeyOpen Variable
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 KeyOpen Variable
Height of Key
Height of Key is defined as the vertical length of the key that is used to transmit the torque produced and to restrict the relative movement between two rotating elements.
Symbol: h
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Formulas to find Height of KeyOpen Variable

Other Formulas to find Diameter of Shaft using Key

​Go Shaft Diameter given Force on Key
ds=2⋅MtF

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 Shear Stress in given Force on Key
𝜏=Fbk⋅l
​Go Width of Key given Shear Stress in Key
bk=F𝜏⋅l

How to Evaluate Shaft Diameter given Compressive Stress in Key?

Shaft Diameter given Compressive Stress in Key evaluator uses Diameter of Shaft using Key = 4*Transmitted Torque by Keyed Shaft/(Compressive Stress in Key*Length of Key*Height of Key) to evaluate the Diameter of Shaft using Key, The Shaft Diameter given Compressive Stress in Key formula is defined as the diameter of the shaft that is coupled with the key for the torque transmission. Diameter of Shaft using Key is denoted by ds symbol.

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

FAQs on Shaft Diameter given Compressive Stress in Key

What is the formula to find Shaft Diameter given Compressive Stress in Key?
The formula of Shaft Diameter given Compressive Stress in Key is expressed as Diameter of Shaft using Key = 4*Transmitted Torque by Keyed Shaft/(Compressive Stress in Key*Length of Key*Height of Key). Here is an example- 44543.65 = 4*224.5/(128000000*0.035*0.0045).
How to calculate Shaft Diameter given Compressive Stress in Key?
With Transmitted Torque by Keyed Shaft (Mt), Compressive Stress in Key (σc), Length of Key (l) & Height of Key (h) we can find Shaft Diameter given Compressive Stress in Key using the formula - Diameter of Shaft using Key = 4*Transmitted Torque by Keyed Shaft/(Compressive Stress in Key*Length of Key*Height of Key).
What are the other ways to Calculate Diameter of Shaft using Key?
Here are the different ways to Calculate Diameter of Shaft using Key-
  • Diameter of Shaft using Key=2*Transmitted Torque by Keyed Shaft/Force on KeyOpenImg
Can the Shaft Diameter given Compressive Stress in Key be negative?
No, the Shaft Diameter given Compressive Stress in Key, measured in Length cannot be negative.
Which unit is used to measure Shaft Diameter given Compressive Stress in Key?
Shaft Diameter 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 Shaft Diameter given Compressive Stress in Key can be measured.
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