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) - The Transmitted Torque by Kennedy Key is the torque that a Kennedy key can effectively transmit between two connected machine components without slipping or failure.
Shear Stress in Key - (Measured in Pascal) - The Shear Stress in Key is the internal force per unit area within a key, which helps transmit torque between a shaft and a hub in mechanical systems.
Diameter of Shaft using Key - (Measured in Meter) - The Diameter of Shaft using Key is the measurement across the widest part of a shaft that accommodates a key for secure attachment and torque transmission.
Width of Key - (Measured in Meter) - The Width of Key is the measurement of the key's thickness, which ensures proper fit and function within a mechanical assembly, preventing slippage and ensuring torque transmission.
Length of Key - (Measured in Meter) - The Length of Key is the measurement of the key used in mechanical systems to secure components and transmit torque between shafts and hubs.
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: 44.98998 Millimeter --> 0.04498998 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)*0.04498998*0.005*0.035
Evaluating ... ...
Mtk = 711.491481535196
STEP 3: Convert Result to Output's Unit
711.491481535196 Newton Meter -->711491.481535196 Newton Millimeter (Check conversion ​here)
FINAL ANSWER
711491.481535196 711491.5 Newton Millimeter <-- Transmitted Torque by Kennedy Key
(Calculation completed in 00.035 seconds)

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

Diameter of Shaft given Shear Stress in Kennedy Key
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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

​LaTeX ​Go
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 formula is defined as a measure of the rotational force that a Kennedy key can transmit based on the shear stress acting on it. This is crucial for ensuring the integrity and performance of mechanical systems. 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 -> 6.3E+8 = 63900000*sqrt(2)*0.04498998*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 formula is defined as a measure of the rotational force that a Kennedy key can transmit based on the shear stress acting on it. This is crucial for ensuring the integrity and performance of mechanical systems 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. The Shear Stress in Key is the internal force per unit area within a key, which helps transmit torque between a shaft and a hub in mechanical systems, The Diameter of Shaft using Key is the measurement across the widest part of a shaft that accommodates a key for secure attachment and torque transmission, The Width of Key is the measurement of the key's thickness, which ensures proper fit and function within a mechanical assembly, preventing slippage and ensuring torque transmission & The Length of Key is the measurement of the key used in mechanical systems to secure components and transmit torque between shafts and hubs.
How to calculate Torque Transmitted by Kennedy Key given Shear Stress in Key?
Torque Transmitted by Kennedy Key given Shear Stress in Key formula is defined as a measure of the rotational force that a Kennedy key can transmit based on the shear stress acting on it. This is crucial for ensuring the integrity and performance of mechanical systems 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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