Torque Transmitted by Keyed Shaft given Stress in Key Solution

STEP 0: Pre-Calculation Summary
Formula Used
Transmitted Torque by Keyed Shaft = Compressive Stress in Key*Diameter of Shaft using Key*Length of Key*Height of Key/4
Mt = σc*ds*l*h/4
This formula uses 5 Variables
Variables Used
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.
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.
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.
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.
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
Compressive Stress in Key: 128 Newton per Square Millimeter --> 128000000 Pascal (Check conversion ​here)
Diameter of Shaft using Key: 44.98998 Millimeter --> 0.04498998 Meter (Check conversion ​here)
Length of Key: 35 Millimeter --> 0.035 Meter (Check conversion ​here)
Height of Key: 4.5 Millimeter --> 0.0045 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Mt = σc*ds*l*h/4 --> 128000000*0.04498998*0.035*0.0045/4
Evaluating ... ...
Mt = 226.7494992
STEP 3: Convert Result to Output's Unit
226.7494992 Newton Meter -->226749.4992 Newton Millimeter (Check conversion ​here)
FINAL ANSWER
226749.4992 226749.5 Newton Millimeter <-- Transmitted Torque by Keyed Shaft
(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad
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Design of Square and Flat Keys Calculators

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

Torque Transmitted by Keyed Shaft given Stress in Key Formula

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

Define Torque Transmission?

A torque converter is a type of fluid coupling which transfers rotating power from a prime mover, like an internal combustion engine, to a rotating driven load. In a vehicle with an automatic transmission, the torque converter connects the power source to the load.

How to Calculate Torque Transmitted by Keyed Shaft given Stress in Key?

Torque Transmitted by Keyed Shaft given Stress in Key calculator uses Transmitted Torque by Keyed Shaft = Compressive Stress in Key*Diameter of Shaft using Key*Length of Key*Height of Key/4 to calculate the Transmitted Torque by Keyed Shaft, Torque Transmitted by Keyed Shaft given Stress in Key formula is defined as a method to evaluate the torque capacity of a keyed shaft based on the stress in the key. It helps in ensuring the design's reliability and performance in mechanical applications. Transmitted Torque by Keyed Shaft is denoted by Mt symbol.

How to calculate Torque Transmitted by Keyed Shaft given Stress in Key using this online calculator? To use this online calculator for Torque Transmitted by Keyed Shaft given Stress in Key, enter Compressive Stress in Key c), Diameter of Shaft using Key (ds), Length of Key (l) & Height of Key (h) and hit the calculate button. Here is how the Torque Transmitted by Keyed Shaft given Stress in Key calculation can be explained with given input values -> 2.2E+8 = 128000000*0.04498998*0.035*0.0045/4.

FAQ

What is Torque Transmitted by Keyed Shaft given Stress in Key?
Torque Transmitted by Keyed Shaft given Stress in Key formula is defined as a method to evaluate the torque capacity of a keyed shaft based on the stress in the key. It helps in ensuring the design's reliability and performance in mechanical applications and is represented as Mt = σc*ds*l*h/4 or Transmitted Torque by Keyed Shaft = Compressive Stress in Key*Diameter of Shaft using Key*Length of Key*Height of Key/4. 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 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 Length of Key is the measurement of the key used in mechanical systems to secure components and transmit torque between shafts and hubs & 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 Torque Transmitted by Keyed Shaft given Stress in Key?
Torque Transmitted by Keyed Shaft given Stress in Key formula is defined as a method to evaluate the torque capacity of a keyed shaft based on the stress in the key. It helps in ensuring the design's reliability and performance in mechanical applications is calculated using Transmitted Torque by Keyed Shaft = Compressive Stress in Key*Diameter of Shaft using Key*Length of Key*Height of Key/4. To calculate Torque Transmitted by Keyed Shaft given Stress in Key, you need Compressive Stress in Key c), Diameter of Shaft using Key (ds), Length of Key (l) & Height of Key (h). With our tool, you need to enter the respective value for Compressive Stress in Key, Diameter of Shaft using Key, Length of 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 Transmitted Torque by Keyed Shaft?
In this formula, Transmitted Torque by Keyed Shaft uses Compressive Stress in Key, Diameter of Shaft using Key, Length of Key & Height of Key. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Transmitted Torque by Keyed Shaft = Force on Key*Diameter of Shaft using Key/2
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