Compressive Stress in Key Calculator

✖Transmitted Torque by Keyed Shaft is defined as the amount of torque or the rotating power transferred from a shaft using a key into it.ⓘ Transmitted Torque by Keyed Shaft [M_t]			+10% -10%
✖Diameter of Shaft using Key is defined as the external surface diameter of a shaft (a rotating machine element) using a key into it.ⓘ Diameter of Shaft using Key [d_s]			+10% -10%
✖The Length of Key is defined as the length of the key which is used to prevent rotation of a machine component or it is the major dimension of the key.ⓘ Length of Key [l]			+10% -10%
✖Height of Key is defined as the vertical length of the key that is used to transmit the torque produced and to restrict the relative movement between two rotating elements.ⓘ Height of Key [h]			+10% -10%

✖Compressive Stress in Key is the force per unit area of a key cross-section that is responsible for the deformation of the material such that the volume of the material reduces.ⓘ 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) - Compressive Stress in Key is the force per unit area of a key cross-section that is responsible for the deformation of the material such that the volume of the material reduces.
Transmitted Torque by Keyed Shaft - (Measured in Newton Meter) - Transmitted Torque by Keyed Shaft is defined as the amount of torque or the rotating power transferred from a shaft using a key into it.
Diameter of Shaft using Key - (Measured in Meter) - Diameter of Shaft using Key is defined as the external surface diameter of a shaft (a rotating machine element) using a key into it.
Length of Key - (Measured in Meter) - The Length of Key is defined as the length of the key which is used to prevent rotation of a machine component or it is the major dimension of the key.
Height of Key - (Measured in Meter) - Height of Key is defined as the vertical length of the key that is used to transmit the torque produced and to restrict the relative movement between two rotating elements.

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: 45 Millimeter --> 0.045 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/(0.045*0.035*0.0045)

Evaluating ... ...

σ_c = 126701940.035273

STEP 3: Convert Result to Output's Unit

126701940.035273 Pascal -->126.701940035273 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

126.701940035273 ≈ 126.7019 Newton per Square Millimeter <-- Compressive Stress in 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

LaTeX Go Shear Stress in Key = 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

Compressive Stress in Key Formula

LaTeX Go

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, The Compressive Stress in Key formula is defined as 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 that leads to a smaller volume. 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 -> 0.000127 = 4*224.5/(0.045*0.035*0.0045).

FAQ

What is Compressive Stress in Key?

The Compressive Stress in Key formula is defined as 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 that leads to a smaller volume 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). Transmitted Torque by Keyed Shaft is defined as the amount of torque or the rotating power transferred from a shaft using a key into it, Diameter of Shaft using Key is defined as the external surface diameter of a shaft (a rotating machine element) using a key into it, The Length of Key is defined as the length of the key which is used to prevent rotation of a machine component or it is the major dimension of the key & Height of Key is defined as the vertical length of the key that is used to transmit the torque produced and to restrict the relative movement between two rotating elements.

How to calculate Compressive Stress in Key?

The Compressive Stress in Key formula is defined as 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 that leads to a smaller volume 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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