Width of Key given Compressive 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 Compressive Stress in Key is the internal stress experienced by a key due to axial loads, affecting its performance and stability in mechanical assemblies.ⓘ Compressive Stress in Key [σ_c]			+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 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 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) - 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.
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.
Compressive Stress in Key - (Measured in Pascal) - The Compressive Stress in Key is the internal stress experienced by a key due to axial loads, affecting its performance and stability in mechanical assemblies.
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)
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)*712.7636/(0.04498998*128000000*0.035)

Evaluating ... ...

b_k = 0.00500111333265342

STEP 3: Convert Result to Output's Unit

0.00500111333265342 Meter -->5.00111333265342 Millimeter (Check conversion here)

FINAL ANSWER

5.00111333265342 ≈ 5.001113 Millimeter <-- Width of Key

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

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

Width of Key given Compressive Stress in Key Formula

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, Width of Key given Compressive Stress in Key formula is defined as a method to determine the necessary width of a key in mechanical design, ensuring it can withstand compressive stress without failure. This is crucial for the reliability and efficiency of mechanical components. 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 -> 5001.113 = sqrt(2)*712.7636/(0.04498998*128000000*0.035).

FAQ

What is Width of Key given Compressive Stress in Key?

Width of Key given Compressive Stress in Key formula is defined as a method to determine the necessary width of a key in mechanical design, ensuring it can withstand compressive stress without failure. This is crucial for the reliability and efficiency of mechanical components 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). 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 Compressive Stress in Key is the internal stress experienced by a key due to axial loads, affecting its performance and stability in mechanical assemblies & 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 Width of Key given Compressive Stress in Key?

Width of Key given Compressive Stress in Key formula is defined as a method to determine the necessary width of a key in mechanical design, ensuring it can withstand compressive stress without failure. This is crucial for the reliability and efficiency of mechanical components 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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