Length of Key given Shear Stress Calculator

✖Force on Key is the reaction onto the key of a machined assembly.ⓘ Force on Key [F]			+10% -10%
✖Width of Key is defined as the width of the key that is fixed in between the shaft and the hub to prevent relative movement between a power transmitting shaft and an attached component.ⓘ Width of Key [b_k]			+10% -10%
✖Shear Stress in Key is the force per unit area tending to cause deformation of the key by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress in Key [𝜏]			+10% -10%

✖The Length of Key is defined as the length of the key which is used to prevent rotation of a machine component or it is the major dimension of the key.ⓘ 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 defined as the length of the key which is used to prevent rotation of a machine component or it is the major dimension of the key.
Force on Key - (Measured in Newton) - Force on Key is the reaction onto the key of a machined assembly.
Width of Key - (Measured in Meter) - Width of Key is defined as the width of the key that is fixed in between the shaft and the hub to prevent relative movement between a power transmitting shaft and an attached component.
Shear Stress in Key - (Measured in Pascal) - Shear Stress in Key is the force per unit area tending to cause deformation of the key by slippage along a plane or planes parallel to the imposed stress.

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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< Design of Square and Flat Keys Calculators

Shear Stress in given Force on Key

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

Torque Transmitted by Keyed Shaft given Force on Keys

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

Shaft Diameter given Force on Key

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

Force on Key

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

Length of Key given Shear Stress Formula

LaTeX Go

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, The Length of Key given Shear Stress is defined as the length of the projection that is fixed in between the key and the shaft. 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 -> 31236.31 = 9980/(0.005*63900000).

FAQ

What is Length of Key given Shear Stress?

The Length of Key given Shear Stress is defined as the length of the projection that is fixed in between the key and the shaft and is represented as l = F/(b_k*𝜏) or Length of Key = Force on Key/(Width of Key*Shear Stress in Key). Force on Key is the reaction onto the key of a machined assembly, Width of Key is defined as the width of the key that is fixed in between the shaft and the hub to prevent relative movement between a power transmitting shaft and an attached component & Shear Stress in Key is the force per unit area tending to cause deformation of the key by slippage along a plane or planes parallel to the imposed stress.

How to calculate Length of Key given Shear Stress?

The Length of Key given Shear Stress is defined as the length of the projection that is fixed in between the key and the shaft 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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