Shear Stress in Key given Torque Transmitted Calculator

✖Transmitted Torque by Keyed Shaft is defined as the amount of torque or the rotating power transferred from a shaft using a key into it.ⓘ Transmitted Torque by Keyed Shaft [M_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 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 using Key [d_s]			+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 given Torque Transmitted [𝜏]

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Shear Stress in Key given Torque Transmitted Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress in Key = 2*Transmitted Torque by Keyed Shaft/(Width of Key*Length of Key*Diameter of Shaft using Key)
𝜏 = 2*M_t/(b_k*l*d_s)
This formula uses 5 Variables

Variables Used

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.
Transmitted Torque by Keyed Shaft - (Measured in Newton Meter) - Transmitted Torque by Keyed Shaft is defined as the amount of torque or the rotating power transferred from a shaft using a key into 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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Transmitted Torque by Keyed Shaft: 224500 Newton Millimeter --> 224.5 Newton Meter (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)
Diameter of Shaft using Key: 45 Millimeter --> 0.045 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = 2*M_t/(b_k*l*d_s) --> 2*224.5/(0.005*0.035*0.045)

Evaluating ... ...

𝜏 = 57015873.015873

STEP 3: Convert Result to Output's Unit

57015873.015873 Pascal -->57.015873015873 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

57.015873015873 ≈ 57.01587 Newton per Square Millimeter <-- Shear Stress in Key

(Calculation completed in 00.004 seconds)

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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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< 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

Shear Stress in Key given Torque Transmitted Formula

LaTeX Go

Shear Stress in Key = 2*Transmitted Torque by Keyed Shaft/(Width of Key*Length of Key*Diameter of Shaft using Key)
𝜏 = 2*M_t/(b_k*l*d_s)

Define Shear Stress

Shear 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 Shear Stress in Key given Torque Transmitted?

Shear Stress in Key given Torque Transmitted calculator uses Shear Stress in Key = 2*Transmitted Torque by Keyed Shaft/(Width of Key*Length of Key*Diameter of Shaft using Key) to calculate the Shear Stress in Key, Shear Stress in Key given Torque Transmitted is defined as the component of stress coplanar with the key's cross-section. It arises from the shear force, the component of the force vector parallel to the material cross-section. Shear Stress in Key is denoted by 𝜏 symbol.

How to calculate Shear Stress in Key given Torque Transmitted using this online calculator? To use this online calculator for Shear Stress in Key given Torque Transmitted, enter Transmitted Torque by Keyed Shaft (M_t), Width of Key (b_k), Length of Key (l) & Diameter of Shaft using Key (d_s) and hit the calculate button. Here is how the Shear Stress in Key given Torque Transmitted calculation can be explained with given input values -> 5.7E-5 = 2*224.5/(0.005*0.035*0.045).

FAQ

What is Shear Stress in Key given Torque Transmitted?

Shear Stress in Key given Torque Transmitted is defined as the component of stress coplanar with the key's cross-section. It arises from the shear force, the component of the force vector parallel to the material cross-section and is represented as 𝜏 = 2*M_t/(b_k*l*d_s) or Shear Stress in Key = 2*Transmitted Torque by Keyed Shaft/(Width of Key*Length of Key*Diameter of Shaft using Key). Transmitted Torque by Keyed Shaft is defined as the amount of torque or the rotating power transferred from a shaft using a key into 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 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 & Diameter of Shaft using Key is defined as the external surface diameter of a shaft (a rotating machine element) using a key into it.

How to calculate Shear Stress in Key given Torque Transmitted?

Shear Stress in Key given Torque Transmitted is defined as the component of stress coplanar with the key's cross-section. It arises from the shear force, the component of the force vector parallel to the material cross-section is calculated using Shear Stress in Key = 2*Transmitted Torque by Keyed Shaft/(Width of Key*Length of Key*Diameter of Shaft using Key). To calculate Shear Stress in Key given Torque Transmitted, you need Transmitted Torque by Keyed Shaft (M_t), Width of Key (b_k), Length of Key (l) & Diameter of Shaft using Key (d_s). With our tool, you need to enter the respective value for Transmitted Torque by Keyed Shaft, Width of Key, Length of Key & Diameter of Shaft using 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 Shear Stress in Key?

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

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

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