Diameter of Shaft given Shear Stress in Kennedy 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 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 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 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 Key [l]			+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 given Shear Stress in Kennedy Key [d_s]

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Diameter of Shaft given Shear Stress in Kennedy Key Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Transmitted Torque by Kennedy Key: 712763.6 Newton Millimeter --> 712.7636 Newton Meter (Check conversion here)
Shear Stress in Key: 63.9 Newton per Square Millimeter --> 63900000 Pascal (Check conversion here)
Width of Key: 5 Millimeter --> 0.005 Meter (Check conversion here)
Length of Key: 35 Millimeter --> 0.035 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_s = Mt_k/(sqrt(2)*𝜏*b_k*l) --> 712.7636/(sqrt(2)*63900000*0.005*0.035)

Evaluating ... ...

d_s = 0.0450704202944722

STEP 3: Convert Result to Output's Unit

0.0450704202944722 Meter -->45.0704202944722 Millimeter (Check conversion here)

FINAL ANSWER

45.0704202944722 ≈ 45.07042 Millimeter <-- Diameter of Shaft using 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

Diameter of Shaft given Shear Stress in Kennedy Key Formula

LaTeX Go

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

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 Diameter of Shaft given Shear Stress in Kennedy Key?

Diameter of Shaft given Shear Stress in Kennedy Key calculator uses Diameter of Shaft using Key = Transmitted Torque by Kennedy Key/(sqrt(2)*Shear Stress in Key*Width of Key*Length of Key) to calculate the Diameter of Shaft using Key, Diameter of Shaft given Shear Stress in Kennedy Key formula is defined as a method to determine the appropriate diameter of a shaft based on the shear stress experienced in a Kennedy key design. This ensures the shaft can safely transmit torque without failure. Diameter of Shaft using Key is denoted by d_s symbol.

How to calculate Diameter of Shaft given Shear Stress in Kennedy Key using this online calculator? To use this online calculator for Diameter of Shaft given Shear Stress in Kennedy Key, enter Transmitted Torque by Kennedy Key (Mt_k), Shear Stress in Key (𝜏), Width of Key (b_k) & Length of Key (l) and hit the calculate button. Here is how the Diameter of Shaft given Shear Stress in Kennedy Key calculation can be explained with given input values -> 50500.99 = 712.7636/(sqrt(2)*63900000*0.005*0.035).

FAQ

What is Diameter of Shaft given Shear Stress in Kennedy Key?

Diameter of Shaft given Shear Stress in Kennedy Key formula is defined as a method to determine the appropriate diameter of a shaft based on the shear stress experienced in a Kennedy key design. This ensures the shaft can safely transmit torque without failure and is represented as d_s = Mt_k/(sqrt(2)*𝜏*b_k*l) or Diameter of Shaft using Key = Transmitted Torque by Kennedy Key/(sqrt(2)*Shear Stress in Key*Width of Key*Length of 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 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, 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 Length of Key is the measurement of the key used in mechanical systems to secure components and transmit torque between shafts and hubs.

How to calculate Diameter of Shaft given Shear Stress in Kennedy Key?

Diameter of Shaft given Shear Stress in Kennedy Key formula is defined as a method to determine the appropriate diameter of a shaft based on the shear stress experienced in a Kennedy key design. This ensures the shaft can safely transmit torque without failure is calculated using Diameter of Shaft using Key = Transmitted Torque by Kennedy Key/(sqrt(2)*Shear Stress in Key*Width of Key*Length of Key). To calculate Diameter of Shaft given Shear Stress in Kennedy Key, you need Transmitted Torque by Kennedy Key (Mt_k), Shear Stress in Key (𝜏), Width of Key (b_k) & Length of Key (l). With our tool, you need to enter the respective value for Transmitted Torque by Kennedy Key, Shear Stress in Key, Width of 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.

How many ways are there to calculate Diameter of Shaft using Key?

In this formula, Diameter of Shaft using Key uses Transmitted Torque by Kennedy Key, Shear Stress in Key, Width of Key & Length of Key. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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