Compressive Stress in Kennedy Key Solution

STEP 0: Pre-Calculation Summary
Formula Used
Compressive Stress in Key = sqrt(2)*Transmitted Torque by Kennedy Key/(Diameter of Shaft using Key*Width of Key*Length of Key)
σc = sqrt(2)*Mtk/(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
Compressive Stress in Key - (Measured in Pascal) - The Compressive Stress in Key is the internal stress experienced by a key due to axial loads, affecting its performance and stability in mechanical assemblies.
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.
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
Transmitted Torque by Kennedy Key: 712763.6 Newton Millimeter --> 712.7636 Newton Meter (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
σc = sqrt(2)*Mtk/(ds*bk*l) --> sqrt(2)*712.7636/(0.04498998*0.005*0.035)
Evaluating ... ...
σc = 128028501.315928
STEP 3: Convert Result to Output's Unit
128028501.315928 Pascal -->128.028501315928 Newton per Square Millimeter (Check conversion ​here)
FINAL ANSWER
128.028501315928 128.0285 Newton per Square Millimeter <-- Compressive Stress in Key
(Calculation completed in 00.020 seconds)

Credits

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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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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

Compressive Stress in Kennedy Key Formula

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

Compressive Stress in Kennedy Key calculator uses Compressive Stress in Key = sqrt(2)*Transmitted Torque by Kennedy Key/(Diameter of Shaft using Key*Width of Key*Length of Key) to calculate the Compressive Stress in Key, Compressive Stress in Kennedy Key formula is defined as a measure of the internal stress experienced by a Kennedy key when subjected to compressive forces. This stress is crucial for ensuring the key's integrity and performance within mechanical assemblies, particularly in machine design applications. Compressive Stress in Key is denoted by σc symbol.

How to calculate Compressive Stress in Kennedy Key using this online calculator? To use this online calculator for Compressive Stress in Kennedy Key, enter Transmitted Torque by Kennedy Key (Mtk), Diameter of Shaft using Key (ds), Width of Key (bk) & Length of Key (l) and hit the calculate button. Here is how the Compressive Stress in Kennedy Key calculation can be explained with given input values -> 0.000143 = sqrt(2)*712.7636/(0.04498998*0.005*0.035).

FAQ

What is Compressive Stress in Kennedy Key?
Compressive Stress in Kennedy Key formula is defined as a measure of the internal stress experienced by a Kennedy key when subjected to compressive forces. This stress is crucial for ensuring the key's integrity and performance within mechanical assemblies, particularly in machine design applications and is represented as σc = sqrt(2)*Mtk/(ds*bk*l) or Compressive Stress in Key = sqrt(2)*Transmitted Torque by Kennedy Key/(Diameter of Shaft using Key*Width of Key*Length of Key). 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, 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 Compressive Stress in Kennedy Key?
Compressive Stress in Kennedy Key formula is defined as a measure of the internal stress experienced by a Kennedy key when subjected to compressive forces. This stress is crucial for ensuring the key's integrity and performance within mechanical assemblies, particularly in machine design applications is calculated using Compressive Stress in Key = sqrt(2)*Transmitted Torque by Kennedy Key/(Diameter of Shaft using Key*Width of Key*Length of Key). To calculate Compressive Stress in Kennedy Key, you need Transmitted Torque by Kennedy Key (Mtk), 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 Transmitted Torque by Kennedy 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.
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