Width of Key given Shear Stress in Key Calculator

✖Force on Key is the reaction onto the key of a machined assembly.ⓘ Force on Key [F]			+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 [l]			+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 given Shear Stress in Key [b_k]

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Formula

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Width of Key given Shear Stress in Key

Formula

`"b"_{"k"} = "F"/("𝜏"*"l")`

Example

`"4.46233mm"="9980N"/("63.9N/mm²"*"35mm")`

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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 in Key*Length of Key)
b_k = F/(𝜏*l)
This formula uses 4 Variables

Variables Used

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.
Force on Key - (Measured in Newton) - Force on Key is the reaction onto the key of a machined assembly.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Force on Key: 9980 Newton --> 9980 Newton No Conversion Required
Shear Stress in Key: 63.9 Newton per Square Millimeter --> 63900000 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*l) --> 9980/(63900000*0.035)

Evaluating ... ...

b_k = 0.00446232953275207

STEP 3: Convert Result to Output's Unit

0.00446232953275207 Meter -->4.46232953275207 Millimeter (Check conversion here)

FINAL ANSWER

4.46232953275207 ≈ 4.46233 Millimeter <-- Width of Key

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Design of Keys » Design of Square and Flat Keys » Width of Key given Shear Stress in 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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< 14 Design of Square and Flat Keys Calculators

Shaft Diameter given Compressive Stress in Key

Go Diameter of Shaft using Key = 4*Transmitted Torque by Keyed Shaft/(Compressive Stress in Key*Length of Key*Height of Key)

Length of Key given Compressive Stress in Key

Go Length of Key = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Compressive Stress in Key*Height of Key)

Height of Key given Compressive Stress in Key

Go Height of Key = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Length of Key*Compressive Stress in Key)

Compressive Stress in Key

Go Compressive Stress in Key = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Length of Key*Height of Key)

Torque Transmitted by Keyed Shaft given Stress in Key

Go Transmitted Torque by Keyed Shaft = Compressive Stress in Key*Diameter of Shaft using Key*Length of Key*Height of Key/4

Shear Stress in Key given Torque Transmitted

Go Shear Stress in Key = 2*Transmitted Torque by Keyed Shaft/(Width of Key*Length of Key*Diameter of Shaft using Key)

Shear Stress on Flat Key

Go Shear Stress = (2*Torque Transmitted by Shaft)/(Width of Key*Diameter of Shaft*Length of Key)

Width of Key given Shear Stress in Key

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

Shear Stress in given Force on Key

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

Length of Key given Shear Stress

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

Compressive Stress in Square Key due to Transmitted Torque

Go Compressive Stress in Key = 2*Shear Stress in Key

Width of Key given Shear Stress in Key Formula

Width of Key = Force on Key/(Shear Stress in Key*Length of Key)
b_k = F/(𝜏*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 in Key*Length of Key) to calculate the Width of Key, Width of Key given Shear Stress in Key is defined as the width of the key that is fixed in between the two rotating parts to transmit the power. 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 in Key (𝜏) & 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 -> 4462.33 = 9980/(63900000*0.035).

FAQ

What is Width of Key given Shear Stress in Key?

Width of Key given Shear Stress in Key is defined as the width of the key that is fixed in between the two rotating parts to transmit the power and is represented as b_k = F/(𝜏*l) or Width of Key = Force on Key/(Shear Stress in Key*Length of Key). Force on Key is the reaction onto the key of a machined assembly, 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 & 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.

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

Width of Key given Shear Stress in Key is defined as the width of the key that is fixed in between the two rotating parts to transmit the power is calculated using Width of Key = Force on Key/(Shear Stress in Key*Length of Key). To calculate Width of Key given Shear Stress in Key, you need Force on Key (F), Shear Stress in Key (𝜏) & Length of Key (l). With our tool, you need to enter the respective value for Force on Key, Shear 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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