Length of Key given 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%
✖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]			+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%

✖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 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 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.
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.
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.
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)
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/(0.045*128000000*0.0045)

Evaluating ... ...

l = 0.0346450617283951

STEP 3: Convert Result to Output's Unit

0.0346450617283951 Meter -->34.6450617283951 Millimeter (Check conversion here)

FINAL ANSWER

34.6450617283951 ≈ 34.64506 Millimeter <-- Length of Key

(Calculation completed in 00.004 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

Length of Key given Compressive Stress in Key Formula

LaTeX Go

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 is defined as the length of the key which is to be inserted in between the shaft for the transmission of torque. 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 -> 34645.06 = 4*224.5/(0.045*128000000*0.0045).

FAQ

What is Length of Key given Compressive Stress in Key?

Length of Key given Compressive Stress in Key is defined as the length of the key which is to be inserted in between the shaft for the transmission of torque 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). 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, 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 & 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 Length of Key given Compressive Stress in Key?

Length of Key given Compressive Stress in Key is defined as the length of the key which is to be inserted in between the shaft for the transmission of torque 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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