Shaft Diameter given Force on Key Calculator

✖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.ⓘ Transmitted Torque by Keyed Shaft [M_t]			+10% -10%
✖Force on Key is the reaction onto the key of a machined assembly.ⓘ Force on Key [F]			+10% -10%

✖Diameter of Shaft using Key is defined as the external surface diameter of a shaft (a rotating machine element) using a key into it.ⓘ Shaft Diameter given Force on Key [d_s]

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Formula

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Shaft Diameter given Force on Key

Formula

`"d"_{"s"} = 2*"M"_{"t"}/"F"`

Example

`"44.98998mm"=2*"224500N*mm"/"9980N"`

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Shaft Diameter given Force on Key Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Shaft using Key = 2*Transmitted Torque by Keyed Shaft/Force on Key
d_s = 2*M_t/F
This formula uses 3 Variables

Variables Used

Diameter of Shaft using Key - (Measured in Meter) - Diameter of Shaft using Key is defined as the external surface diameter of a shaft (a rotating machine element) using a key into it.
Transmitted Torque by Keyed Shaft - (Measured in Newton Meter) - 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.
Force on Key - (Measured in Newton) - Force on Key is the reaction onto the key of a machined assembly.

STEP 1: Convert Input(s) to Base Unit

Transmitted Torque by Keyed Shaft: 224500 Newton Millimeter --> 224.5 Newton Meter (Check conversion here)
Force on Key: 9980 Newton --> 9980 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_s = 2*M_t/F --> 2*224.5/9980

Evaluating ... ...

d_s = 0.0449899799599198

STEP 3: Convert Result to Output's Unit

0.0449899799599198 Meter -->44.9899799599198 Millimeter (Check conversion here)

FINAL ANSWER

44.9899799599198 ≈ 44.98998 Millimeter <-- Diameter of Shaft using Key

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 14 Design of Square and Flat Keys Calculators

Shaft Diameter given Compressive Stress in Key

Go Diameter of Shaft using Key = 4*Transmitted Torque by Keyed Shaft/(Compressive Stress in Key*Length of Key*Height of Key)

Length of Key given Compressive Stress in Key

Go Length of Key = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Compressive Stress in Key*Height of Key)

Height of Key given Compressive Stress in Key

Go Height of Key = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Length of Key*Compressive Stress in Key)

Compressive Stress in Key

Go Compressive Stress in Key = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Length of Key*Height of Key)

Torque Transmitted by Keyed Shaft given Stress in Key

Go Transmitted Torque by Keyed Shaft = Compressive Stress in Key*Diameter of Shaft using Key*Length of Key*Height of Key/4

Shear Stress in Key given Torque Transmitted

Go Shear Stress in Key = 2*Transmitted Torque by Keyed Shaft/(Width of Key*Length of Key*Diameter of Shaft using Key)

Shear Stress on Flat Key

Go Shear Stress = (2*Torque Transmitted by Shaft)/(Width of Key*Diameter of Shaft*Length of Key)

Width of Key given Shear Stress in Key

Go Width of Key = Force on Key/(Shear Stress in Key*Length of Key)

Shear Stress in given Force on Key

Go Shear Stress in Key = Force on Key/(Width of Key*Length of Key)

Length of Key given Shear Stress

Go Length of Key = Force on Key/(Width of Key*Shear Stress in Key)

Torque Transmitted by Keyed Shaft given Force on Keys

Go Transmitted Torque by Keyed Shaft = Force on Key*Diameter of Shaft using Key/2

Shaft Diameter given Force on Key

Go Diameter of Shaft using Key = 2*Transmitted Torque by Keyed Shaft/Force on Key

Force on Key

Go Force on Key = 2*Transmitted Torque by Keyed Shaft/Diameter of Shaft using Key

Compressive Stress in Square Key due to Transmitted Torque

Go Compressive Stress in Key = 2*Shear Stress in Key

Shaft Diameter given Force on Key Formula

Diameter of Shaft using Key = 2*Transmitted Torque by Keyed Shaft/Force on Key
d_s = 2*M_t/F

Define a Square Key

They have a square or rectangular cross-section. Square keys are used for smaller shafts and rectangular faced keys are used for shaft diameters over 6.5 in (170 mm) or when the wall thickness of the mating hub is an issue. Set screws often accompany parallel keys to lock the mating parts into place.

How to Calculate Shaft Diameter given Force on Key?

Shaft Diameter given Force on Key calculator uses Diameter of Shaft using Key = 2*Transmitted Torque by Keyed Shaft/Force on Key to calculate 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 d_s symbol.

How to calculate Shaft Diameter given Force on Key using this online calculator? To use this online calculator for Shaft Diameter given Force on Key, enter Transmitted Torque by Keyed Shaft (M_t) & Force on Key (F) and hit the calculate button. Here is how the Shaft Diameter given Force on Key calculation can be explained with given input values -> 44989.98 = 2*224.5/9980.

FAQ

What is Shaft Diameter given Force on 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 and is represented as d_s = 2*M_t/F or Diameter of Shaft using Key = 2*Transmitted Torque by Keyed Shaft/Force on Key. 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 & Force on Key is the reaction onto the key of a machined assembly.

How to calculate Shaft Diameter given Force on 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 is calculated using Diameter of Shaft using Key = 2*Transmitted Torque by Keyed Shaft/Force on Key. To calculate Shaft Diameter given Force on Key, you need Transmitted Torque by Keyed Shaft (M_t) & Force on Key (F). With our tool, you need to enter the respective value for Transmitted Torque by Keyed Shaft & Force on 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 Diameter of Shaft using Key?

In this formula, Diameter of Shaft using Key uses Transmitted Torque by Keyed Shaft & Force on Key. We can use 1 other way(s) to calculate the same, which is/are as follows -

Diameter of Shaft using Key = 4*Transmitted Torque by Keyed Shaft/(Compressive Stress in Key*Length of Key*Height of Key)

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