Length of Key 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 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.ⓘ Diameter of Shaft using Key [d_s]			+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 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 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 given Compressive Stress in Key [l]

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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*M_t/(d_s*σ_c*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*M_t/(d_s*σ_c*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 00.020 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

Length of Key given Compressive Stress in Key Formula

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