Width of Key given Compressive Stress in Key Calculator

✖Transmitted Torque by Kennedy Key is defined as the amount of torque or the rotating power transferred from a shaft using a key into it.ⓘ Transmitted Torque by Kennedy Key [Mt_k]			+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%
✖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%

✖Width of Key is defined as the width of the key that is fixed in between the shaft and the hub to prevent relative movement between a power transmitting shaft and an attached component.ⓘ Width of Key given Compressive Stress in Key [b_k]

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Width of Key given Compressive Stress in Key Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Key = sqrt(2)*Transmitted Torque by Kennedy Key/(Diameter of Shaft using Key*Compressive Stress in Key*Length of Key)
b_k = sqrt(2)*Mt_k/(d_s*σ_c*l)
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Width of Key - (Measured in Meter) - Width of Key is defined as the width of the key that is fixed in between the shaft and the hub to prevent relative movement between a power transmitting shaft and an attached component.
Transmitted Torque by Kennedy Key - (Measured in Newton Meter) - Transmitted Torque by Kennedy Key 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.
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.

STEP 1: Convert Input(s) to Base Unit

Transmitted Torque by Kennedy Key: 635000 Newton Millimeter --> 635 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)
Length of Key: 35 Millimeter --> 0.035 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b_k = sqrt(2)*Mt_k/(d_s*σ_c*l) --> sqrt(2)*635/(0.045*128000000*0.035)

Evaluating ... ...

b_k = 0.00445449212354621

STEP 3: Convert Result to Output's Unit

0.00445449212354621 Meter -->4.45449212354621 Millimeter (Check conversion here)

FINAL ANSWER

4.45449212354621 ≈ 4.454492 Millimeter <-- Width of Key

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< Design of Kennedy Key Calculators

Diameter of Shaft given Shear Stress in Kennedy Key

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

Length of Kennedy Key given Shear Stress in Key

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

Shear Stress in Kennedy Key

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

Torque Transmitted by Kennedy Key given Shear Stress in Key

LaTeX Go Transmitted Torque by Kennedy Key = Shear Stress in Key*sqrt(2)*Diameter of Shaft using Key*Width of Key*Length of Key

Width of Key given Compressive Stress in Key Formula

LaTeX Go

Width of Key = sqrt(2)*Transmitted Torque by Kennedy Key/(Diameter of Shaft using Key*Compressive Stress in Key*Length of Key)
b_k = sqrt(2)*Mt_k/(d_s*σ_c*l)

Define Compressive Stress

Compressive Stress is defined as the stress that results from the shortening in one dimension of an elastic body due to oppositely directed collinear forces tending to crush it.

How to Calculate Width of Key given Compressive Stress in Key?

Width of Key given Compressive Stress in Key calculator uses Width of Key = sqrt(2)*Transmitted Torque by Kennedy Key/(Diameter of Shaft using Key*Compressive Stress in Key*Length of Key) to calculate the Width of Key, The Width of Key given Compressive Stress in Key formula is defined as width of key which is coupled with shaft for torque transmission. Width of Key is denoted by b_k symbol.

How to calculate Width of Key given Compressive Stress in Key using this online calculator? To use this online calculator for Width of Key given Compressive Stress in Key, enter Transmitted Torque by Kennedy Key (Mt_k), Diameter of Shaft using Key (d_s), Compressive Stress in Key (σ_c) & Length of Key (l) and hit the calculate button. Here is how the Width of Key given Compressive Stress in Key calculation can be explained with given input values -> 4454.492 = sqrt(2)*635/(0.045*128000000*0.035).

FAQ

What is Width of Key given Compressive Stress in Key?

The Width of Key given Compressive Stress in Key formula is defined as width of key which is coupled with shaft for torque transmission and is represented as b_k = sqrt(2)*Mt_k/(d_s*σ_c*l) or Width of Key = sqrt(2)*Transmitted Torque by Kennedy Key/(Diameter of Shaft using Key*Compressive Stress in Key*Length of Key). Transmitted Torque by Kennedy Key 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 & 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.

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

The Width of Key given Compressive Stress in Key formula is defined as width of key which is coupled with shaft for torque transmission is calculated using Width of Key = sqrt(2)*Transmitted Torque by Kennedy Key/(Diameter of Shaft using Key*Compressive Stress in Key*Length of Key). To calculate Width of Key given Compressive Stress in Key, you need Transmitted Torque by Kennedy Key (Mt_k), Diameter of Shaft using Key (d_s), Compressive Stress in Key (σ_c) & Length of Key (l). With our tool, you need to enter the respective value for Transmitted Torque by Kennedy Key, Diameter of Shaft using Key, Compressive Stress in Key & Length of 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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