Diameter of Shaft given Compressive Stress in Kennedy Key Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Shaft using Key = sqrt(2)*Transmitted Torque by Kennedy Key/(Compressive Stress in Key*Width of Key*Length of Key)
ds = sqrt(2)*Mtk/(σc*bk*l)
This formula uses 1 Functions, 5 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
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 Kennedy Key - (Measured in Newton Meter) - Transmitted Torque by Kennedy Key is defined as the amount of torque or the rotating power transferred from a shaft using a key into it.
Compressive Stress in Key - (Measured in Pascal) - 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.
Width of Key - (Measured in Meter) - Width of Key is defined as the width of the key that is fixed in between the shaft and the hub to prevent relative movement between a power transmitting shaft and an attached component.
Length of Key - (Measured in Meter) - 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.
STEP 1: Convert Input(s) to Base Unit
Transmitted Torque by Kennedy Key: 635000 Newton Millimeter --> 635 Newton Meter (Check conversion here)
Compressive Stress in Key: 128 Newton per Square Millimeter --> 128000000 Pascal (Check conversion here)
Width of Key: 5 Millimeter --> 0.005 Meter (Check conversion here)
Length of Key: 35 Millimeter --> 0.035 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ds = sqrt(2)*Mtk/(σc*bk*l) --> sqrt(2)*635/(128000000*0.005*0.035)
Evaluating ... ...
ds = 0.0400904291119159
STEP 3: Convert Result to Output's Unit
0.0400904291119159 Meter -->40.0904291119159 Millimeter (Check conversion here)
FINAL ANSWER
40.0904291119159 40.09043 Millimeter <-- Diameter of Shaft using Key
(Calculation completed in 00.004 seconds)

Credits

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Osmania University (OU), Hyderabad
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9 Design of Kennedy Key Calculators

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

Diameter of Shaft given Compressive Stress in Kennedy Key Formula

Diameter of Shaft using Key = sqrt(2)*Transmitted Torque by Kennedy Key/(Compressive Stress in Key*Width of Key*Length of Key)
ds = sqrt(2)*Mtk/(σc*bk*l)

Define Compressive Stress

Compressive Stress is defined as the stress that results from the shortening in one dimension of an elastic body due to oppositely directed collinear forces tending to crush it.

How to Calculate Diameter of Shaft given Compressive Stress in Kennedy Key?

Diameter of Shaft given Compressive Stress in Kennedy Key calculator uses Diameter of Shaft using Key = sqrt(2)*Transmitted Torque by Kennedy Key/(Compressive Stress in Key*Width of Key*Length of Key) to calculate the Diameter of Shaft using Key, Diameter of Shaft given Compressive Stress in Kennedy Key is defined as the diameter of the external surface of the shaft (a rotating machine element, usually circular in cross-section, which is used to transmit power from one part to another). Diameter of Shaft using Key is denoted by ds symbol.

How to calculate Diameter of Shaft given Compressive Stress in Kennedy Key using this online calculator? To use this online calculator for Diameter of Shaft given Compressive Stress in Kennedy Key, enter Transmitted Torque by Kennedy Key (Mtk), Compressive Stress in Key c), Width of Key (bk) & Length of Key (l) and hit the calculate button. Here is how the Diameter of Shaft given Compressive Stress in Kennedy Key calculation can be explained with given input values -> 40090.43 = sqrt(2)*635/(128000000*0.005*0.035).

FAQ

What is Diameter of Shaft given Compressive Stress in Kennedy Key?
Diameter of Shaft given Compressive Stress in Kennedy Key is defined as the diameter of the external surface of the shaft (a rotating machine element, usually circular in cross-section, which is used to transmit power from one part to another) and is represented as ds = sqrt(2)*Mtk/(σc*bk*l) or Diameter of Shaft using Key = sqrt(2)*Transmitted Torque by Kennedy Key/(Compressive Stress in Key*Width of Key*Length of Key). Transmitted Torque by Kennedy Key is defined as the amount of torque or the rotating power transferred from a shaft using a key into it, 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, Width of Key is defined as the width of the key that is fixed in between the shaft and the hub to prevent relative movement between a power transmitting shaft and an attached component & 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.
How to calculate Diameter of Shaft given Compressive Stress in Kennedy Key?
Diameter of Shaft given Compressive Stress in Kennedy Key is defined as the diameter of the external surface of the shaft (a rotating machine element, usually circular in cross-section, which is used to transmit power from one part to another) is calculated using Diameter of Shaft using Key = sqrt(2)*Transmitted Torque by Kennedy Key/(Compressive Stress in Key*Width of Key*Length of Key). To calculate Diameter of Shaft given Compressive Stress in Kennedy Key, you need Transmitted Torque by Kennedy Key (Mtk), Compressive Stress in Key c), Width of Key (bk) & Length of Key (l). With our tool, you need to enter the respective value for Transmitted Torque by Kennedy Key, Compressive Stress in Key, Width of Key & Length 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 Diameter of Shaft using Key?
In this formula, Diameter of Shaft using Key uses Transmitted Torque by Kennedy Key, Compressive Stress in Key, Width of Key & Length of Key. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Diameter of Shaft using Key = Transmitted Torque by Kennedy Key/(sqrt(2)*Shear Stress in Key*Width of Key*Length of Key)
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