Width of Key given Shear Stress in Key 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 Shear Stress is the force per unit area acting parallel to a material's surface, crucial for understanding material strength in mechanical design applications.ⓘ Shear Stress [𝜏_{flat key}]			+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 Shear Stress in Key [b_k]

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Width of Key given Shear Stress in Key Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Key = Force on Key/(Shear Stress*Length of Key)
b_k = F/(𝜏_{flat key}*l)
This formula uses 4 Variables

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.
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.
Shear Stress - (Measured in Pascal) - The Shear Stress is the force per unit area acting parallel to a material's surface, crucial for understanding material strength in mechanical design applications.
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

Force on Key: 9980 Newton --> 9980 Newton No Conversion Required
Shear Stress: 57.02857 Newton per Square Millimeter --> 57028570 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 = F/(𝜏_{flat key}*l) --> 9980/(57028570*0.035)

Evaluating ... ...

b_k = 0.0050000001252505

STEP 3: Convert Result to Output's Unit

0.0050000001252505 Meter -->5.0000001252505 Millimeter (Check conversion here)

FINAL ANSWER

5.0000001252505 ≈ 5 Millimeter <-- Width of Key

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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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

Width of Key given Shear Stress in Key Formula

Width of Key = Force on Key/(Shear Stress*Length of Key)
b_k = F/(𝜏_{flat key}*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. Shear stress may occur in solids or liquids; in the latter it is related to fluid viscosity.

How to Calculate Width of Key given Shear Stress in Key?

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

How to calculate Width of Key given Shear Stress in Key using this online calculator? To use this online calculator for Width of Key given Shear Stress in Key, enter Force on Key (F), Shear Stress (𝜏_{flat key}) & Length of Key (l) and hit the calculate button. Here is how the Width of Key given Shear Stress in Key calculation can be explained with given input values -> 5000 = 9980/(57028570*0.035).

FAQ

What is Width of Key given Shear Stress in Key?

Width of Key given Shear Stress in Key formula is defined as a method to determine the necessary width of a key in mechanical design, ensuring it can withstand the applied shear stress without failure. This is crucial for the reliability and safety of mechanical assemblies and is represented as b_k = F/(𝜏_{flat key}*l) or Width of Key = Force on Key/(Shear Stress*Length of 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 Shear Stress is the force per unit area acting parallel to a material's surface, crucial for understanding material strength in mechanical design applications & 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 Shear Stress in Key?

Width of Key given Shear Stress in Key formula is defined as a method to determine the necessary width of a key in mechanical design, ensuring it can withstand the applied shear stress without failure. This is crucial for the reliability and safety of mechanical assemblies is calculated using Width of Key = Force on Key/(Shear Stress*Length of Key). To calculate Width of Key given Shear Stress in Key, you need Force on Key (F), Shear Stress (𝜏_{flat key}) & Length of Key (l). With our tool, you need to enter the respective value for Force on Key, Shear Stress & 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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