Shaft Diameter given Compressive Stress in Key Calculator

✖The Transmitted Torque by Keyed Shaft is the rotational force transferred through a keyed connection, essential for ensuring reliable power transmission in mechanical systems.ⓘ Transmitted Torque by Keyed Shaft [M_t]			+10% -10%
✖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.ⓘ Compressive Stress in Key [σ_c]			+10% -10%
✖The Length of Key is the measurement of the key used in mechanical systems to secure components and transmit torque between shafts and hubs.ⓘ Length of Key [l]			+10% -10%
✖The Height of Key is the vertical measurement of a key used in mechanical design, ensuring proper fit and alignment within a machine component.ⓘ Height of Key [h]			+10% -10%

✖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.ⓘ Shaft Diameter given Compressive Stress in Key [d_s]

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Shaft Diameter given Compressive Stress in Key Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Shaft using Key = 4*Transmitted Torque by Keyed Shaft/(Compressive Stress in Key*Length of Key*Height of Key)
d_s = 4*M_t/(σ_c*l*h)
This formula uses 5 Variables

Variables Used

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.
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.
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

Transmitted Torque by Keyed Shaft: 224500 Newton Millimeter --> 224.5 Newton Meter (Check conversion here)
Compressive Stress in Key: 128 Newton per Square Millimeter --> 128000000 Pascal (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

d_s = 4*M_t/(σ_c*l*h) --> 4*224.5/(128000000*0.035*0.0045)

Evaluating ... ...

d_s = 0.0445436507936508

STEP 3: Convert Result to Output's Unit

0.0445436507936508 Meter -->44.5436507936508 Millimeter (Check conversion here)

FINAL ANSWER

44.5436507936508 ≈ 44.54365 Millimeter <-- Diameter of Shaft using Key

(Calculation completed in 00.020 seconds)

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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 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

Shaft Diameter given Compressive Stress in Key Formula

Diameter of Shaft using Key = 4*Transmitted Torque by Keyed Shaft/(Compressive Stress in Key*Length of Key*Height of Key)
d_s = 4*M_t/(σ_c*l*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 Shaft Diameter given Compressive Stress in Key?

Shaft Diameter given Compressive Stress in Key calculator uses Diameter of Shaft using Key = 4*Transmitted Torque by Keyed Shaft/(Compressive Stress in Key*Length of Key*Height of Key) to calculate the Diameter of Shaft using Key, Shaft Diameter given Compressive Stress in Key formula is defined as a method to determine the appropriate diameter of a shaft based on the compressive stress experienced by the key. This ensures the shaft can withstand the applied loads without failure, enhancing mechanical reliability. Diameter of Shaft using Key is denoted by d_s symbol.

How to calculate Shaft Diameter given Compressive Stress in Key using this online calculator? To use this online calculator for Shaft Diameter given Compressive Stress in Key, enter Transmitted Torque by Keyed Shaft (M_t), Compressive Stress in Key (σ_c), Length of Key (l) & Height of Key (h) and hit the calculate button. Here is how the Shaft Diameter given Compressive Stress in Key calculation can be explained with given input values -> 44543.65 = 4*224.5/(128000000*0.035*0.0045).

FAQ

What is Shaft Diameter given Compressive Stress in Key?

Shaft Diameter given Compressive Stress in Key formula is defined as a method to determine the appropriate diameter of a shaft based on the compressive stress experienced by the key. This ensures the shaft can withstand the applied loads without failure, enhancing mechanical reliability and is represented as d_s = 4*M_t/(σ_c*l*h) or Diameter of Shaft using Key = 4*Transmitted Torque by Keyed Shaft/(Compressive Stress in Key*Length of 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 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 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 Shaft Diameter given Compressive Stress in Key?

Shaft Diameter given Compressive Stress in Key formula is defined as a method to determine the appropriate diameter of a shaft based on the compressive stress experienced by the key. This ensures the shaft can withstand the applied loads without failure, enhancing mechanical reliability is calculated using Diameter of Shaft using Key = 4*Transmitted Torque by Keyed Shaft/(Compressive Stress in Key*Length of Key*Height of Key). To calculate Shaft Diameter given Compressive Stress in Key, you need Transmitted Torque by Keyed Shaft (M_t), Compressive Stress in Key (σ_c), Length of Key (l) & Height of Key (h). With our tool, you need to enter the respective value for Transmitted Torque by Keyed Shaft, Compressive Stress in 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 Diameter of Shaft using Key?

In this formula, Diameter of Shaft using Key uses Transmitted Torque by Keyed Shaft, Compressive Stress in Key, Length of Key & Height of Key. We can use 1 other way(s) to calculate the same, which is/are as follows -

Diameter of Shaft using Key = 2*Transmitted Torque by Keyed Shaft/Force on Key

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