Diameter of Shaft given Shear Stress in Kennedy Key Calculator

✖Transmitted Torque by Kennedy Key is defined as the amount of torque or the rotating power transferred from a shaft using a key into it.ⓘ Transmitted Torque by Kennedy Key [Mt_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%
✖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 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%

✖Diameter of Shaft using Key is defined as the external surface diameter of a shaft (a rotating machine element) using a key into it.ⓘ Diameter of Shaft given Shear Stress in Kennedy Key [d_s]

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Diameter of Shaft given Shear Stress in Kennedy Key Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Shaft using Key = Transmitted Torque by Kennedy Key/(sqrt(2)*Shear Stress in Key*Width of Key*Length of Key)
d_s = Mt_k/(sqrt(2)*𝜏*b_k*l)
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Diameter of Shaft using Key - (Measured in Meter) - Diameter of Shaft using Key is defined as the external surface diameter of a shaft (a rotating machine element) using a key into it.
Transmitted Torque by Kennedy Key - (Measured in Newton Meter) - Transmitted Torque by Kennedy Key is defined as the amount of torque or the rotating power transferred from a shaft using a key into it.
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.
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.
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

Transmitted Torque by Kennedy Key: 635000 Newton Millimeter --> 635 Newton Meter (Check conversion here)
Shear Stress in Key: 63.9 Newton per Square Millimeter --> 63900000 Pascal (Check conversion here)
Width of Key: 5 Millimeter --> 0.005 Meter (Check conversion here)
Length of Key: 35 Millimeter --> 0.035 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_s = Mt_k/(sqrt(2)*𝜏*b_k*l) --> 635/(sqrt(2)*63900000*0.005*0.035)

Evaluating ... ...

d_s = 0.0401531684375996

STEP 3: Convert Result to Output's Unit

0.0401531684375996 Meter -->40.1531684375996 Millimeter (Check conversion here)

FINAL ANSWER

40.1531684375996 ≈ 40.15317 Millimeter <-- Diameter of Shaft using Key

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< Design of Kennedy Key Calculators

Diameter of Shaft given Shear Stress in Kennedy Key

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

Length of Kennedy Key given Shear Stress in Key

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

Shear Stress in Kennedy Key

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

Torque Transmitted by Kennedy Key given Shear Stress in Key

LaTeX Go Transmitted Torque by Kennedy Key = Shear Stress in Key*sqrt(2)*Diameter of Shaft using Key*Width of Key*Length of Key

Diameter of Shaft given Shear Stress in Kennedy Key Formula

LaTeX Go

Diameter of Shaft using Key = Transmitted Torque by Kennedy Key/(sqrt(2)*Shear Stress in Key*Width of Key*Length of Key)
d_s = Mt_k/(sqrt(2)*𝜏*b_k*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.

How to Calculate Diameter of Shaft given Shear Stress in Kennedy Key?

Diameter of Shaft given Shear Stress in Kennedy Key calculator uses Diameter of Shaft using Key = Transmitted Torque by Kennedy Key/(sqrt(2)*Shear Stress in Key*Width of Key*Length of Key) to calculate the Diameter of Shaft using Key, Diameter of Shaft given Shear Stress in Kennedy Key is defined as the diameter of the external surface of the shaft (a rotating machine element, usually circular in cross-section, which is used to transmit power from one part to another). Diameter of Shaft using Key is denoted by d_s symbol.

How to calculate Diameter of Shaft given Shear Stress in Kennedy Key using this online calculator? To use this online calculator for Diameter of Shaft given Shear Stress in Kennedy Key, enter Transmitted Torque by Kennedy Key (Mt_k), Shear Stress in Key (𝜏), Width of Key (b_k) & Length of Key (l) and hit the calculate button. Here is how the Diameter of Shaft given Shear Stress in Kennedy Key calculation can be explained with given input values -> 40153.17 = 635/(sqrt(2)*63900000*0.005*0.035).

FAQ

What is Diameter of Shaft given Shear Stress in Kennedy Key?

Diameter of Shaft given Shear Stress in Kennedy Key is defined as the diameter of the external surface of the shaft (a rotating machine element, usually circular in cross-section, which is used to transmit power from one part to another) and is represented as d_s = Mt_k/(sqrt(2)*𝜏*b_k*l) or Diameter of Shaft using Key = Transmitted Torque by Kennedy Key/(sqrt(2)*Shear Stress in Key*Width of Key*Length of Key). Transmitted Torque by Kennedy Key is defined as the amount of torque or the rotating power transferred from a shaft using a key into it, 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, 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 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 Diameter of Shaft given Shear Stress in Kennedy Key?

Diameter of Shaft given Shear Stress in Kennedy Key is defined as the diameter of the external surface of the shaft (a rotating machine element, usually circular in cross-section, which is used to transmit power from one part to another) is calculated using Diameter of Shaft using Key = Transmitted Torque by Kennedy Key/(sqrt(2)*Shear Stress in Key*Width of Key*Length of Key). To calculate Diameter of Shaft given Shear Stress in Kennedy Key, you need Transmitted Torque by Kennedy Key (Mt_k), Shear Stress in Key (𝜏), Width of Key (b_k) & Length of Key (l). With our tool, you need to enter the respective value for Transmitted Torque by Kennedy Key, Shear Stress in Key, Width of 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.

How many ways are there to calculate Diameter of Shaft using Key?

In this formula, Diameter of Shaft using Key uses Transmitted Torque by Kennedy Key, Shear Stress in Key, Width of Key & Length of Key. We can use 1 other way(s) to calculate the same, which is/are as follows -

Diameter of Shaft using Key = sqrt(2)*Transmitted Torque by Kennedy Key/(Compressive Stress in Key*Width of Key*Length of Key)

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