Length of Kennedy Key given Shear Stress in Key Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Key = Transmitted Torque by Kennedy Key/(sqrt(2)*Diameter of Shaft using Key*Width of Key*Shear Stress in Key)
l = Mtk/(sqrt(2)*ds*bk*𝜏)
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
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.
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.
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.
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.
Shear Stress in Key - (Measured in Pascal) - Shear Stress in Key is the force per unit area tending to cause deformation of the key by slippage along a plane or planes parallel to the imposed stress.
STEP 1: Convert Input(s) to Base Unit
Transmitted Torque by Kennedy Key: 635000 Newton Millimeter --> 635 Newton Meter (Check conversion here)
Diameter of Shaft using Key: 45 Millimeter --> 0.045 Meter (Check conversion here)
Width of Key: 5 Millimeter --> 0.005 Meter (Check conversion here)
Shear Stress in Key: 63.9 Newton per Square Millimeter --> 63900000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
l = Mtk/(sqrt(2)*ds*bk*𝜏) --> 635/(sqrt(2)*0.045*0.005*63900000)
Evaluating ... ...
l = 0.031230242118133
STEP 3: Convert Result to Output's Unit
0.031230242118133 Meter -->31.230242118133 Millimeter (Check conversion here)
FINAL ANSWER
31.230242118133 31.23024 Millimeter <-- Length of Key
(Calculation completed in 00.020 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

Length of Kennedy Key given Shear Stress in Key Formula

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

Define Shear Stress

Shear stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. The resultant shear is of great importance in nature, being intimately related to the downslope movement of earth materials and to earthquakes.

How to Calculate Length of Kennedy Key given Shear Stress in Key?

Length of Kennedy Key given Shear Stress in Key calculator uses Length of Key = Transmitted Torque by Kennedy Key/(sqrt(2)*Diameter of Shaft using Key*Width of Key*Shear Stress in Key) to calculate the Length of Key, Length of Kennedy Key given Shear Stress in Key is defined as total length of the Kennedy key that is coupled with the shafts for the torque transmission. Length of Key is denoted by l symbol.

How to calculate Length of Kennedy Key given Shear Stress in Key using this online calculator? To use this online calculator for Length of Kennedy Key given Shear Stress in Key, enter Transmitted Torque by Kennedy Key (Mtk), Diameter of Shaft using Key (ds), Width of Key (bk) & Shear Stress in Key (𝜏) and hit the calculate button. Here is how the Length of Kennedy Key given Shear Stress in Key calculation can be explained with given input values -> 31230.24 = 635/(sqrt(2)*0.045*0.005*63900000).

FAQ

What is Length of Kennedy Key given Shear Stress in Key?
Length of Kennedy Key given Shear Stress in Key is defined as total length of the Kennedy key that is coupled with the shafts for the torque transmission and is represented as l = Mtk/(sqrt(2)*ds*bk*𝜏) or Length of Key = Transmitted Torque by Kennedy Key/(sqrt(2)*Diameter of Shaft using Key*Width of Key*Shear Stress in 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, Diameter of Shaft using Key is defined as the external surface diameter of a shaft (a rotating machine element) using a key into it, 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 & Shear Stress in Key is the force per unit area tending to cause deformation of the key by slippage along a plane or planes parallel to the imposed stress.
How to calculate Length of Kennedy Key given Shear Stress in Key?
Length of Kennedy Key given Shear Stress in Key is defined as total length of the Kennedy key that is coupled with the shafts for the torque transmission is calculated using Length of Key = Transmitted Torque by Kennedy Key/(sqrt(2)*Diameter of Shaft using Key*Width of Key*Shear Stress in Key). To calculate Length of Kennedy Key given Shear Stress in Key, you need Transmitted Torque by Kennedy Key (Mtk), Diameter of Shaft using Key (ds), Width of Key (bk) & Shear Stress in Key (𝜏). With our tool, you need to enter the respective value for Transmitted Torque by Kennedy Key, Diameter of Shaft using Key, Width of Key & Shear Stress in 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 Length of Key?
In this formula, Length of Key uses Transmitted Torque by Kennedy Key, Diameter of Shaft using Key, Width of Key & Shear Stress in Key. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Length of Key = sqrt(2)*Transmitted Torque by Kennedy Key/(Diameter of Shaft using Key*Width of Key*Compressive Stress in Key)
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