Length of Key given Shear Stress Calculator

✖The Force on Key is the load applied to a key in a mechanical assembly, crucial for ensuring proper engagement and transmission of torque between components.ⓘ Force on Key [F]			+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 Key given Shear Stress [l]

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Length of Key given Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Key = Force on Key/(Width of Key*Shear Stress in Key)
l = F/(b_k*𝜏)
This formula uses 4 Variables

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.
Force on Key - (Measured in Newton) - The Force on Key is the load applied to a key in a mechanical assembly, crucial for ensuring proper engagement and transmission of torque between components.
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

Force on Key: 9980 Newton --> 9980 Newton No Conversion Required
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 = F/(b_k*𝜏) --> 9980/(0.005*63900000)

Evaluating ... ...

l = 0.0312363067292645

STEP 3: Convert Result to Output's Unit

0.0312363067292645 Meter -->31.2363067292645 Millimeter (Check conversion here)

FINAL ANSWER

31.2363067292645 ≈ 31.23631 Millimeter <-- Length of Key

(Calculation completed in 00.004 seconds)

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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 Square and Flat Keys Calculators

Shear Stress in given Force on Key

Go Shear Stress = Force on Key/(Width of Key*Length of Key)

Torque Transmitted by Keyed Shaft given Force on Keys

Go Transmitted Torque by Keyed Shaft = Force on Key*Diameter of Shaft using Key/2

Shaft Diameter given Force on Key

Go Diameter of Shaft using Key = 2*Transmitted Torque by Keyed Shaft/Force on Key

Force on Key

Go Force on Key = 2*Transmitted Torque by Keyed Shaft/Diameter of Shaft using Key

Length of Key given Shear Stress Formula

Length of Key = Force on Key/(Width of Key*Shear Stress in Key)
l = F/(b_k*𝜏)

Define Shear Stress

hear stress, often denoted by τ (Greek: tau), is the component of stress coplanar with a material cross section. It arises from the shear force, the component of force vector parallel to the material cross section. Normal stress, on the other hand, arises from the force vector component perpendicular to the material cross section on which it acts.

How to Calculate Length of Key given Shear Stress?

Length of Key given Shear Stress calculator uses Length of Key = Force on Key/(Width of Key*Shear Stress in Key) to calculate the Length of Key, Length of Key given Shear Stress formula is defined as a method to determine the appropriate dimensions of a key in mechanical design, ensuring it can withstand the applied shear stress without failure. This is crucial for maintaining the integrity and functionality of mechanical assemblies. Length of Key is denoted by l symbol.

How to calculate Length of Key given Shear Stress using this online calculator? To use this online calculator for Length of Key given Shear Stress, enter Force on Key (F), Width of Key (b_k) & Shear Stress in Key (𝜏) and hit the calculate button. Here is how the Length of Key given Shear Stress calculation can be explained with given input values -> 35000 = 9980/(0.005*63900000).

FAQ

What is Length of Key given Shear Stress?

Length of Key given Shear Stress formula is defined as a method to determine the appropriate dimensions of a key in mechanical design, ensuring it can withstand the applied shear stress without failure. This is crucial for maintaining the integrity and functionality of mechanical assemblies and is represented as l = F/(b_k*𝜏) or Length of Key = Force on Key/(Width of Key*Shear Stress in Key). The Force on Key is the load applied to a key in a mechanical assembly, crucial for ensuring proper engagement and transmission of torque between components, 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 Key given Shear Stress?

Length of Key given Shear Stress formula is defined as a method to determine the appropriate dimensions of a key in mechanical design, ensuring it can withstand the applied shear stress without failure. This is crucial for maintaining the integrity and functionality of mechanical assemblies is calculated using Length of Key = Force on Key/(Width of Key*Shear Stress in Key). To calculate Length of Key given Shear Stress, you need Force on Key (F), Width of Key (b_k) & Shear Stress in Key (𝜏). With our tool, you need to enter the respective value for Force on 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 Force on 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 = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Compressive Stress in Key*Height of Key)

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