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 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 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]

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Compressive Stress in Key Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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 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.
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)
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

σ_c = 4*M_t/(d_s*l*h) --> 4*224.5/(0.04498998*0.035*0.0045)

Evaluating ... ...

σ_c = 126730158.617259

STEP 3: Convert Result to Output's Unit

126730158.617259 Pascal -->126.730158617259 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

126.730158617259 ≈ 126.7302 Newton per Square Millimeter <-- Compressive Stress in Key

(Calculation completed in 00.007 seconds)

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Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

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

Compressive Stress in Key Formula

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

Compressive Stress in Key calculator uses Compressive Stress in Key = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Length of Key*Height of Key) to calculate the Compressive Stress in Key, Compressive Stress in Key formula is defined as a measure of the internal forces acting on a key within a mechanical assembly. It helps assess the strength and stability of the key under load, ensuring that it can effectively transmit torque without failure. Compressive Stress in Key is denoted by σ_c symbol.

How to calculate Compressive Stress in Key using this online calculator? To use this online calculator for Compressive Stress in Key, enter Transmitted Torque by Keyed Shaft (M_t), Diameter of Shaft using Key (d_s), Length of Key (l) & Height of Key (h) and hit the calculate button. Here is how the Compressive Stress in Key calculation can be explained with given input values -> 0.000128 = 4*224.5/(0.04498998*0.035*0.0045).

FAQ

What is Compressive Stress in Key?

Compressive Stress in Key formula is defined as a measure of the internal forces acting on a key within a mechanical assembly. It helps assess the strength and stability of the key under load, ensuring that it can effectively transmit torque without failure and is represented as σ_c = 4*M_t/(d_s*l*h) or Compressive Stress in Key = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using 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 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 Compressive Stress in Key?

Compressive Stress in Key formula is defined as a measure of the internal forces acting on a key within a mechanical assembly. It helps assess the strength and stability of the key under load, ensuring that it can effectively transmit torque without failure is calculated using Compressive Stress in Key = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Length of Key*Height of Key). To calculate Compressive Stress in Key, you need Transmitted Torque by Keyed Shaft (M_t), Diameter of Shaft using Key (d_s), Length of Key (l) & 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, 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 Compressive Stress in Key?

In this formula, Compressive Stress in Key uses Transmitted Torque by Keyed Shaft, 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 -

Compressive Stress in Key = 2*Shear Stress in Key

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