Length of Key given Compressive Stress in Key Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Key = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Compressive Stress in Key*Height of Key)
l = 4*Mt/(ds*σc*h)
This formula uses 5 Variables
Variables Used
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.
Transmitted Torque by Keyed Shaft - (Measured in Newton Meter) - The Transmitted Torque by Keyed Shaft is the rotational force transferred through a keyed connection, essential for ensuring reliable power transmission 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.
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.
Height of Key - (Measured in Meter) - The Height of Key is the vertical measurement of a key used in mechanical design, ensuring proper fit and alignment within a machine component.
STEP 1: Convert Input(s) to Base Unit
Transmitted Torque by Keyed Shaft: 224500 Newton Millimeter --> 224.5 Newton Meter (Check conversion ​here)
Diameter of Shaft using Key: 44.98998 Millimeter --> 0.04498998 Meter (Check conversion ​here)
Compressive Stress in Key: 128 Newton per Square Millimeter --> 128000000 Pascal (Check conversion ​here)
Height of Key: 4.5 Millimeter --> 0.0045 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
l = 4*Mt/(dsc*h) --> 4*224.5/(0.04498998*128000000*0.0045)
Evaluating ... ...
l = 0.0346527777469067
STEP 3: Convert Result to Output's Unit
0.0346527777469067 Meter -->34.6527777469067 Millimeter (Check conversion ​here)
FINAL ANSWER
34.6527777469067 34.65278 Millimeter <-- Length of Key
(Calculation completed in 00.004 seconds)

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Design of Square and Flat Keys Calculators

Shear Stress in given Force on Key
​ Go Shear Stress = Force on Key/(Width of Key*Length of Key)
Torque Transmitted by Keyed Shaft given Force on Keys
​ Go Transmitted Torque by Keyed Shaft = Force on Key*Diameter of Shaft using Key/2
Shaft Diameter given Force on Key
​ Go Diameter of Shaft using Key = 2*Transmitted Torque by Keyed Shaft/Force on Key
Force on Key
​ Go Force on Key = 2*Transmitted Torque by Keyed Shaft/Diameter of Shaft using Key

Length of Key given Compressive Stress in Key Formula

​Go
Length of Key = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Compressive Stress in Key*Height of Key)
l = 4*Mt/(ds*σc*h)

Define Compressive Stress

Compressive stress is the force that is responsible for the deformation of the material such that the volume of the material reduces. It is the stress experienced by a material which leads to a smaller volume. High compressive stress leads to failure of the material due to tension.

How to Calculate Length of Key given Compressive Stress in Key?

Length of Key given Compressive Stress in Key calculator uses Length of Key = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Compressive Stress in Key*Height of Key) to calculate the Length of Key, Length of Key given Compressive Stress in Key formula is defined as a method to determine the appropriate dimensions of a key in mechanical design, ensuring it can withstand the compressive stress without failure. This is crucial for the reliability and safety of mechanical assemblies. Length of Key is denoted by l symbol.

How to calculate Length of Key given Compressive Stress in Key using this online calculator? To use this online calculator for Length of Key given Compressive Stress in Key, enter Transmitted Torque by Keyed Shaft (Mt), Diameter of Shaft using Key (ds), Compressive Stress in Key c) & Height of Key (h) and hit the calculate button. Here is how the Length of Key given Compressive Stress in Key calculation can be explained with given input values -> 35000 = 4*224.5/(0.04498998*128000000*0.0045).

FAQ

What is Length of Key given Compressive Stress in Key?
Length of Key given Compressive Stress in Key formula is defined as a method to determine the appropriate dimensions of a key in mechanical design, ensuring it can withstand the compressive stress without failure. This is crucial for the reliability and safety of mechanical assemblies and is represented as l = 4*Mt/(dsc*h) or Length of Key = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Compressive Stress in Key*Height of Key). The Transmitted Torque by Keyed Shaft is the rotational force transferred through a keyed connection, essential for ensuring reliable power transmission 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 Compressive Stress in Key is the internal stress experienced by a key due to axial loads, affecting its performance and stability in mechanical assemblies & The Height of Key is the vertical measurement of a key used in mechanical design, ensuring proper fit and alignment within a machine component.
How to calculate Length of Key given Compressive Stress in Key?
Length of Key given Compressive Stress in Key formula is defined as a method to determine the appropriate dimensions of a key in mechanical design, ensuring it can withstand the compressive stress without failure. This is crucial for the reliability and safety of mechanical assemblies is calculated using Length of Key = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Compressive Stress in Key*Height of Key). To calculate Length of Key given Compressive Stress in Key, you need Transmitted Torque by Keyed Shaft (Mt), Diameter of Shaft using Key (ds), Compressive Stress in Key c) & Height of Key (h). With our tool, you need to enter the respective value for Transmitted Torque by Keyed Shaft, Diameter of Shaft using Key, Compressive Stress in Key & Height 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 Length of Key?
In this formula, Length of Key uses Transmitted Torque by Keyed Shaft, Diameter of Shaft using Key, Compressive Stress in Key & Height of Key. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Length of Key = Force on Key/(Width of Key*Shear Stress in Key)
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