Length of Kennedy Key given Shear Stress in Key Calculator

✖The Transmitted Torque by Kennedy Key is the torque that a Kennedy key can effectively transmit between two connected machine components without slipping or failure.ⓘ Transmitted Torque by Kennedy Key [Mt_k]			+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 Width of Key is the measurement of the key's thickness, which ensures proper fit and function within a mechanical assembly, preventing slippage and ensuring torque transmission.ⓘ Width of Key [b_k]			+10% -10%
✖The Shear Stress in Key is the internal force per unit area within a key, which helps transmit torque between a shaft and a hub in mechanical systems.ⓘ Shear Stress in Key [𝜏]			+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 Kennedy Key given Shear Stress in Key [l]

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Length of Kennedy Key given Shear Stress in Key Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
Transmitted Torque by Kennedy Key - (Measured in Newton Meter) - The Transmitted Torque by Kennedy Key is the torque that a Kennedy key can effectively transmit between two connected machine components without slipping or failure.
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.
Width of Key - (Measured in Meter) - The Width of Key is the measurement of the key's thickness, which ensures proper fit and function within a mechanical assembly, preventing slippage and ensuring torque transmission.
Shear Stress in Key - (Measured in Pascal) - The Shear Stress in Key is the internal force per unit area within a key, which helps transmit torque between a shaft and a hub in mechanical systems.

STEP 1: Convert Input(s) to Base Unit

Transmitted Torque by Kennedy Key: 712763.6 Newton Millimeter --> 712.7636 Newton Meter (Check conversion here)
Diameter of Shaft using Key: 44.98998 Millimeter --> 0.04498998 Meter (Check conversion here)
Width of Key: 5 Millimeter --> 0.005 Meter (Check conversion here)
Shear Stress in Key: 63.9 Newton per Square Millimeter --> 63900000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l = Mt_k/(sqrt(2)*d_s*b_k*𝜏) --> 712.7636/(sqrt(2)*0.04498998*0.005*63900000)

Evaluating ... ...

l = 0.0350625786076484

STEP 3: Convert Result to Output's Unit

0.0350625786076484 Meter -->35.0625786076484 Millimeter (Check conversion here)

FINAL ANSWER

35.0625786076484 ≈ 35.06258 Millimeter <-- Length 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

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

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

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

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

Length of Kennedy Key given Shear Stress in Key Formula

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

Define Shear Stress

Shear stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. The resultant shear is of great importance in nature, being intimately related to the downslope movement of earth materials and to earthquakes.

How to Calculate Length of Kennedy Key given Shear Stress in Key?

Length of Kennedy Key given Shear Stress in Key calculator uses Length of Key = Transmitted Torque by Kennedy Key/(sqrt(2)*Diameter of Shaft using Key*Width of Key*Shear Stress in Key) to calculate the Length of Key, Length of Kennedy Key given Shear Stress in Key formula is defined as a method to determine the appropriate length of a Kennedy key based on the shear stress it experiences. This ensures the key can effectively transmit torque without failing under operational conditions. Length of Key is denoted by l symbol.

How to calculate Length of Kennedy Key given Shear Stress in Key using this online calculator? To use this online calculator for Length of Kennedy Key given Shear Stress in Key, enter Transmitted Torque by Kennedy Key (Mt_k), Diameter of Shaft using Key (d_s), Width of Key (b_k) & Shear Stress in Key (𝜏) and hit the calculate button. Here is how the Length of Kennedy Key given Shear Stress in Key calculation can be explained with given input values -> 39287.3 = 712.7636/(sqrt(2)*0.04498998*0.005*63900000).

FAQ

What is Length of Kennedy Key given Shear Stress in Key?

Length of Kennedy Key given Shear Stress in Key formula is defined as a method to determine the appropriate length of a Kennedy key based on the shear stress it experiences. This ensures the key can effectively transmit torque without failing under operational conditions and is represented as l = Mt_k/(sqrt(2)*d_s*b_k*𝜏) or Length of Key = Transmitted Torque by Kennedy Key/(sqrt(2)*Diameter of Shaft using Key*Width of Key*Shear Stress in Key). The Transmitted Torque by Kennedy Key is the torque that a Kennedy key can effectively transmit between two connected machine components without slipping or failure, 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 Width of Key is the measurement of the key's thickness, which ensures proper fit and function within a mechanical assembly, preventing slippage and ensuring torque transmission & The Shear Stress in Key is the internal force per unit area within a key, which helps transmit torque between a shaft and a hub in mechanical systems.

How to calculate Length of Kennedy Key given Shear Stress in Key?

Length of Kennedy Key given Shear Stress in Key formula is defined as a method to determine the appropriate length of a Kennedy key based on the shear stress it experiences. This ensures the key can effectively transmit torque without failing under operational conditions is calculated using Length of Key = Transmitted Torque by Kennedy Key/(sqrt(2)*Diameter of Shaft using Key*Width of Key*Shear Stress in Key). To calculate Length of Kennedy Key given Shear Stress in Key, you need Transmitted Torque by Kennedy Key (Mt_k), Diameter of Shaft using Key (d_s), Width of Key (b_k) & Shear Stress in Key (𝜏). With our tool, you need to enter the respective value for Transmitted Torque by Kennedy Key, Diameter of Shaft using Key, Width of Key & Shear Stress in 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 Kennedy Key, Diameter of Shaft using Key, Width of Key & Shear Stress in Key. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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