Shear Stress on Flat Key Calculator

✖Torque Transmitted by Shaft between the two ends of it.ⓘ Torque Transmitted by Shaft [T]			+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%
✖The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.ⓘ Diameter of Shaft [d_s]			+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%

✖Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress on Flat Key [𝜏_{flat key}]

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Formula

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Shear Stress on Flat Key

Formula

`"𝜏"_{"flat key"} = (2*"T")/("b"_{"k"}*"d"_{"s"}*"l")`

Example

`"7.619048N/mm²"=(2*"800N*m")/("5mm"*"1200mm"*"35mm")`

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Shear Stress on Flat Key Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress = (2*Torque Transmitted by Shaft)/(Width of Key*Diameter of Shaft*Length of Key)
𝜏_{flat key} = (2*T)/(b_k*d_s*l)
This formula uses 5 Variables

Variables Used

Shear Stress - (Measured in Pascal) - Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Torque Transmitted by Shaft - (Measured in Newton Meter) - Torque Transmitted by Shaft between the two ends of it.
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.
Diameter of Shaft - (Measured in Meter) - The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.
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

Torque Transmitted by Shaft: 800 Newton Meter --> 800 Newton Meter No Conversion Required
Width of Key: 5 Millimeter --> 0.005 Meter (Check conversion here)
Diameter of Shaft: 1200 Millimeter --> 1.2 Meter (Check conversion here)
Length of Key: 35 Millimeter --> 0.035 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏_{flat key} = (2*T)/(b_k*d_s*l) --> (2*800)/(0.005*1.2*0.035)

Evaluating ... ...

𝜏_{flat key} = 7619047.61904762

STEP 3: Convert Result to Output's Unit

7619047.61904762 Pascal -->7.61904761904762 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

7.61904761904762 ≈ 7.619048 Newton per Square Millimeter <-- Shear Stress

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Design of Keys » Design of Square and Flat Keys » Shear Stress on Flat Key

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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

Shear Stress on Flat Key Formula

Shear Stress = (2*Torque Transmitted by Shaft)/(Width of Key*Diameter of Shaft*Length of Key)
𝜏_{flat key} = (2*T)/(b_k*d_s*l)

What is shear stress in the flat key ?

Design of flat key is based on the two criteria, one is failure due to shear stress and failure due to compressive stress.

How to Calculate Shear Stress on Flat Key?

Shear Stress on Flat Key calculator uses Shear Stress = (2*Torque Transmitted by Shaft)/(Width of Key*Diameter of Shaft*Length of Key) to calculate the Shear Stress, Shear stress on flat key is the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. As for the key, it is one of the criteria for testing for failure. Shear Stress is denoted by 𝜏_{flat key} symbol.

How to calculate Shear Stress on Flat Key using this online calculator? To use this online calculator for Shear Stress on Flat Key, enter Torque Transmitted by Shaft (T), Width of Key (b_k), Diameter of Shaft (d_s) & Length of Key (l) and hit the calculate button. Here is how the Shear Stress on Flat Key calculation can be explained with given input values -> 7.6E-6 = (2*800)/(0.005*1.2*0.035).

FAQ

What is Shear Stress on Flat Key?

Shear stress on flat key is the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. As for the key, it is one of the criteria for testing for failure and is represented as 𝜏_{flat key} = (2*T)/(b_k*d_s*l) or Shear Stress = (2*Torque Transmitted by Shaft)/(Width of Key*Diameter of Shaft*Length of Key). Torque Transmitted by Shaft between the two ends of it, 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, The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power & 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 Shear Stress on Flat Key?

Shear stress on flat key is the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. As for the key, it is one of the criteria for testing for failure is calculated using Shear Stress = (2*Torque Transmitted by Shaft)/(Width of Key*Diameter of Shaft*Length of Key). To calculate Shear Stress on Flat Key, you need Torque Transmitted by Shaft (T), Width of Key (b_k), Diameter of Shaft (d_s) & Length of Key (l). With our tool, you need to enter the respective value for Torque Transmitted by Shaft, Width of Key, Diameter of Shaft & 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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