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 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 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 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 Kennedy Key [𝜏]

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Shear Stress in Kennedy Key Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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)
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)
Length of Key: 35 Millimeter --> 0.035 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = Mt_k/(sqrt(2)*d_s*b_k*l) --> 712.7636/(sqrt(2)*0.04498998*0.005*0.035)

Evaluating ... ...

𝜏 = 64014250.6579638

STEP 3: Convert Result to Output's Unit

64014250.6579638 Pascal -->64.0142506579638 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

64.0142506579638 ≈ 64.01425 Newton per Square Millimeter <-- Shear Stress in Key

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Design of Keys » Design of Kennedy Key » Shear Stress in Kennedy Key

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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 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

Shear Stress in Kennedy Key Formula

LaTeX Go

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

Shear Stress in Kennedy Key calculator uses Shear Stress in Key = Transmitted Torque by Kennedy Key/(sqrt(2)*Diameter of Shaft using Key*Width of Key*Length of Key) to calculate the Shear Stress in Key, Shear Stress in Kennedy Key formula is defined as a measure of the internal resistance of a Kennedy key to shear forces. It helps in assessing the strength and stability of the key within mechanical assemblies, ensuring reliable performance under load conditions. Shear Stress in Key is denoted by 𝜏 symbol.

How to calculate Shear Stress in Kennedy Key using this online calculator? To use this online calculator for Shear Stress in Kennedy Key, enter Transmitted Torque by Kennedy Key (Mt_k), Diameter of Shaft using Key (d_s), Width of Key (b_k) & Length of Key (l) and hit the calculate button. Here is how the Shear Stress in Kennedy Key calculation can be explained with given input values -> 7.2E-5 = 712.7636/(sqrt(2)*0.04498998*0.005*0.035).

FAQ

What is Shear Stress in Kennedy Key?

Shear Stress in Kennedy Key formula is defined as a measure of the internal resistance of a Kennedy key to shear forces. It helps in assessing the strength and stability of the key within mechanical assemblies, ensuring reliable performance under load conditions and is represented as 𝜏 = Mt_k/(sqrt(2)*d_s*b_k*l) or Shear Stress in Key = Transmitted Torque by Kennedy Key/(sqrt(2)*Diameter of Shaft using 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 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 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 Shear Stress in Kennedy Key?

Shear Stress in Kennedy Key formula is defined as a measure of the internal resistance of a Kennedy key to shear forces. It helps in assessing the strength and stability of the key within mechanical assemblies, ensuring reliable performance under load conditions is calculated using Shear Stress in Key = Transmitted Torque by Kennedy Key/(sqrt(2)*Diameter of Shaft using Key*Width of Key*Length of Key). To calculate Shear Stress in Kennedy Key, you need Transmitted Torque by Kennedy Key (Mt_k), Diameter of Shaft using Key (d_s), 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, Diameter of Shaft using 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.

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