Height 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%
✖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%
✖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 given Compressive Stress in Key [h]

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Formula

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Height of Key given Compressive Stress in Key

Formula

`"h" = 4*"M"_{"t"}/("d"_{"s"}*"l"*"σ"_{"c"})`

Example

`"4.454365mm"=4*"224500N*mm"/("45mm"*"35mm"*"128N/mm²")`

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Height of Key given Compressive Stress in Key Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

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)
Compressive Stress in Key: 128 Newton per Square Millimeter --> 128000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = 4*M_t/(d_s*l*σ_c) --> 4*224.5/(0.045*0.035*128000000)

Evaluating ... ...

h = 0.00445436507936508

STEP 3: Convert Result to Output's Unit

0.00445436507936508 Meter -->4.45436507936508 Millimeter (Check conversion here)

FINAL ANSWER

4.45436507936508 ≈ 4.454365 Millimeter <-- Height of Key

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Design of Keys » Design of Square and Flat Keys » Height of Key given Compressive Stress in Key

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Osmania University (OU), Hyderabad

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< 14 Design of Square and Flat Keys Calculators

Shaft Diameter given Compressive Stress in Key

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

Length of Key given Compressive Stress in Key

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

Height of Key given Compressive Stress in Key

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

Compressive Stress in Key

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

Torque Transmitted by Keyed Shaft given Stress in Key

Go Transmitted Torque by Keyed Shaft = Compressive Stress in Key*Diameter of Shaft using Key*Length of Key*Height of Key/4

Shear Stress in Key given Torque Transmitted

Go Shear Stress in Key = 2*Transmitted Torque by Keyed Shaft/(Width of Key*Length of Key*Diameter of Shaft using Key)

Shear Stress on Flat Key

Go Shear Stress = (2*Torque Transmitted by Shaft)/(Width of Key*Diameter of Shaft*Length of Key)

Width of Key given Shear Stress in Key

Go Width of Key = Force on Key/(Shear Stress in Key*Length of Key)

Shear Stress in given Force on Key

Go Shear Stress in Key = Force on Key/(Width of Key*Length of Key)

Length of Key given Shear Stress

Go Length of Key = Force on Key/(Width of Key*Shear Stress in 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 Square Key due to Transmitted Torque

Go Compressive Stress in Key = 2*Shear Stress in Key

Height of Key given Compressive Stress in Key Formula

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

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 Height of Key given Compressive Stress in Key?

Height of Key given Compressive Stress in Key calculator uses Height of Key = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Length of Key*Compressive Stress in Key) to calculate the Height of Key, Height of Key given Compressive Stress in Key is defined as the height of the key which is inserted in between the shafts for the torque transmission. Height of Key is denoted by h symbol.

How to calculate Height of Key given Compressive Stress in Key using this online calculator? To use this online calculator for Height of Key given Compressive Stress in Key, enter Transmitted Torque by Keyed Shaft (M_t), Diameter of Shaft using Key (d_s), Length of Key (l) & Compressive Stress in Key (σ_c) and hit the calculate button. Here is how the Height of Key given Compressive Stress in Key calculation can be explained with given input values -> 4454.365 = 4*224.5/(0.045*0.035*128000000).

FAQ

What is Height of Key given Compressive Stress in Key?

Height of Key given Compressive Stress in Key is defined as the height of the key which is inserted in between the shafts for the torque transmission and is represented as h = 4*M_t/(d_s*l*σ_c) or Height of Key = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Length of Key*Compressive Stress in 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 & 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.

How to calculate Height of Key given Compressive Stress in Key?

Height of Key given Compressive Stress in Key is defined as the height of the key which is inserted in between the shafts for the torque transmission is calculated using Height of Key = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Length of Key*Compressive Stress in Key). To calculate Height of Key given Compressive Stress in Key, you need Transmitted Torque by Keyed Shaft (M_t), Diameter of Shaft using Key (d_s), Length of Key (l) & Compressive Stress in Key (σ_c). With our tool, you need to enter the respective value for Transmitted Torque by Keyed Shaft, Diameter of Shaft using Key, Length of Key & Compressive Stress in Key and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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