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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=2⋅MtF
ds - Diameter of Shaft using Key?Mt - Transmitted Torque by Keyed Shaft?F - Force on Key?

Shaft Diameter given Force on Key Example

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With units
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Here is how the Shaft Diameter given Force on Key equation looks like with Values.

Here is how the Shaft Diameter given Force on Key equation looks like with Units.

Here is how the Shaft Diameter given Force on Key equation looks like.

44.99Edit=2⋅224500Edit9980Edit
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HomeIcon Home » Category Engineering » Category Mechanical » Category Machine Design » fx Shaft Diameter given Force on Key

Shaft Diameter given Force on Key Solution

Follow our step by step solution on how to calculate Shaft Diameter given Force on Key?

FIRST Step Consider the formula
ds=2⋅MtF
Next Step Substitute values of Variables
∴ ds=2⋅224500N*mm9980N
Next Step Convert Units
∴ ds=2⋅224.5N*m9980N
Next Step Prepare to Evaluate
∴ ds=2⋅224.59980
Next Step Evaluate
∴ds=0.0449899799599198m
Next Step Convert to Output's Unit
∴ds=44.9899799599198mm
LAST Step Rounding Answer
∴ds=44.99mm

Shaft Diameter given Force on 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
Force on Key
Force on Key is the reaction onto the key of a machined assembly.
Symbol: F
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Formulas to find Force on KeyOpen Variable

Other Formulas to find Diameter of Shaft using Key

​Go Shaft Diameter given Compressive Stress in Key
ds=4⋅Mtσc⋅l⋅h

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 Force on Key?

Shaft Diameter given Force on Key evaluator uses Diameter of Shaft using Key = 2*Transmitted Torque by Keyed Shaft/Force on Key to evaluate the Diameter of Shaft using Key, The Shaft Diameter given Force on 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 Force on Key using this online evaluator? To use this online evaluator for Shaft Diameter given Force on Key, enter Transmitted Torque by Keyed Shaft (Mt) & Force on Key (F) and hit the calculate button.

FAQs on Shaft Diameter given Force on Key

What is the formula to find Shaft Diameter given Force on Key?
The formula of Shaft Diameter given Force on Key is expressed as Diameter of Shaft using Key = 2*Transmitted Torque by Keyed Shaft/Force on Key. Here is an example- 44989.98 = 2*224.5/9980.
How to calculate Shaft Diameter given Force on Key?
With Transmitted Torque by Keyed Shaft (Mt) & Force on Key (F) we can find Shaft Diameter given Force on Key using the formula - Diameter of Shaft using Key = 2*Transmitted Torque by Keyed Shaft/Force on 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=4*Transmitted Torque by Keyed Shaft/(Compressive Stress in Key*Length of Key*Height of Key)OpenImg
Can the Shaft Diameter given Force on Key be negative?
No, the Shaft Diameter given Force on Key, measured in Length cannot be negative.
Which unit is used to measure Shaft Diameter given Force on Key?
Shaft Diameter given Force on 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 Force on Key can be measured.
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