Torque Transmitted by Kennedy Key given Shear Stress in Key Solution

STEP 0: Pre-Calculation Summary
Formula Used
Transmitted Torque by Kennedy Key = Shear Stress in Key*sqrt(2)*Diameter of Shaft using Key*Width of Key*Length of Key
Mtk = 𝜏*sqrt(2)*ds*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
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.
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.
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.
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
Shear Stress in Key: 63.9 Newton per Square Millimeter --> 63900000 Pascal (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)
Length of Key: 35 Millimeter --> 0.035 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Mtk = 𝜏*sqrt(2)*ds*bk*l --> 63900000*sqrt(2)*0.045*0.005*0.035
Evaluating ... ...
Mtk = 711.649942255671
STEP 3: Convert Result to Output's Unit
711.649942255671 Newton Meter -->711649.942255671 Newton Millimeter (Check conversion here)
FINAL ANSWER
711649.942255671 711649.9 Newton Millimeter <-- Transmitted Torque by Kennedy Key
(Calculation completed in 00.020 seconds)

Credits

Created by Kethavath Srinath
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

Torque Transmitted by Kennedy Key given Shear Stress in Key Formula

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

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 Torque Transmitted by Kennedy Key given Shear Stress in Key?

Torque Transmitted by Kennedy Key given Shear Stress in Key calculator uses Transmitted Torque by Kennedy Key = Shear Stress in Key*sqrt(2)*Diameter of Shaft using Key*Width of Key*Length of Key to calculate the Transmitted Torque by Kennedy Key, Torque Transmitted by Kennedy Key given Shear Stress in Key is defined as the amount of torque or actually the rotation power transmitted by the kennedy key. Transmitted Torque by Kennedy Key is denoted by Mtk symbol.

How to calculate Torque Transmitted by Kennedy Key given Shear Stress in Key using this online calculator? To use this online calculator for Torque Transmitted by Kennedy Key given Shear Stress in Key, enter Shear Stress in Key (𝜏), Diameter of Shaft using Key (ds), Width of Key (bk) & Length of Key (l) and hit the calculate button. Here is how the Torque Transmitted by Kennedy Key given Shear Stress in Key calculation can be explained with given input values -> 7.1E+8 = 63900000*sqrt(2)*0.045*0.005*0.035.

FAQ

What is Torque Transmitted by Kennedy Key given Shear Stress in Key?
Torque Transmitted by Kennedy Key given Shear Stress in Key is defined as the amount of torque or actually the rotation power transmitted by the kennedy key and is represented as Mtk = 𝜏*sqrt(2)*ds*bk*l or Transmitted Torque by Kennedy Key = Shear Stress in Key*sqrt(2)*Diameter of Shaft using Key*Width of Key*Length of Key. 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, 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 & 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 Torque Transmitted by Kennedy Key given Shear Stress in Key?
Torque Transmitted by Kennedy Key given Shear Stress in Key is defined as the amount of torque or actually the rotation power transmitted by the kennedy key is calculated using Transmitted Torque by Kennedy Key = Shear Stress in Key*sqrt(2)*Diameter of Shaft using Key*Width of Key*Length of Key. To calculate Torque Transmitted by Kennedy Key given Shear Stress in Key, you need Shear Stress in Key (𝜏), Diameter of Shaft using Key (ds), Width of Key (bk) & Length of Key (l). With our tool, you need to enter the respective value for Shear Stress in Key, Diameter of Shaft using 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 Transmitted Torque by Kennedy Key?
In this formula, Transmitted Torque by Kennedy Key uses Shear Stress in Key, Diameter of Shaft using Key, Width of Key & Length of Key. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Transmitted Torque by Kennedy Key = Compressive Stress in Key*Diameter of Shaft using Key*Width of Key*Length of Key/sqrt(2)
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