Shear Stress on Flat Key Calculator

✖The Torque Transmitted by Shaft is the measure of rotational force that a shaft can transmit, crucial for ensuring efficient power transfer in mechanical systems.ⓘ Torque Transmitted by Shaft [T]			+10% -10%
✖The Width of Key is the measurement of the key's thickness, which ensures proper fit and function within a mechanical assembly, preventing slippage and ensuring torque transmission.ⓘ Width of Key [b_k]			+10% -10%
✖The Diameter of Shaft using Key is the measurement across the widest part of a shaft that accommodates a key for secure attachment and torque transmission.ⓘ Diameter of Shaft using Key [d_s]			+10% -10%
✖The Length of Key is the measurement of the key used in mechanical systems to secure components and transmit torque between shafts and hubs.ⓘ Length of Key [l]			+10% -10%

✖The Shear Stress is the force per unit area acting parallel to a material's surface, crucial for understanding material strength in mechanical design applications.ⓘ Shear Stress on Flat Key [𝜏_{flat key}]

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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 using Key*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) - The Shear Stress is the force per unit area acting parallel to a material's surface, crucial for understanding material strength in mechanical design applications.
Torque Transmitted by Shaft - (Measured in Newton Meter) - The Torque Transmitted by Shaft is the measure of rotational force that a shaft can transmit, crucial for ensuring efficient power transfer in mechanical systems.
Width of Key - (Measured in Meter) - The Width of Key is the measurement of the key's thickness, which ensures proper fit and function within a mechanical assembly, preventing slippage and ensuring torque transmission.
Diameter of Shaft using Key - (Measured in Meter) - The Diameter of Shaft using Key is the measurement across the widest part of a shaft that accommodates a key for secure attachment and torque transmission.
Length of Key - (Measured in Meter) - The Length of Key is the measurement of the key used in mechanical systems to secure components and transmit torque between shafts and hubs.

STEP 1: Convert Input(s) to Base Unit

Torque Transmitted by Shaft: 224499.99458 Newton Millimeter --> 224.49999458 Newton Meter (Check conversion here)
Width of Key: 5 Millimeter --> 0.005 Meter (Check conversion here)
Diameter of Shaft using Key: 44.98998 Millimeter --> 0.04498998 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*224.49999458)/(0.005*0.04498998*0.035)

Evaluating ... ...

𝜏_{flat key} = 57028570.000952

STEP 3: Convert Result to Output's Unit

57028570.000952 Pascal -->57.028570000952 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

57.028570000952 ≈ 57.02857 Newton per Square Millimeter <-- Shear Stress

(Calculation completed in 00.004 seconds)

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Created by Akshay Talbar

Vishwakarma University (VU), Pune

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< Design of Square and Flat Keys Calculators

Shear Stress in given Force on Key

LaTeX Go Shear Stress = 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 on Flat Key Formula

LaTeX Go

Shear Stress = (2*Torque Transmitted by Shaft)/(Width of Key*Diameter of Shaft using Key*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 using Key*Length of Key) to calculate the Shear Stress, Shear Stress on Flat Key formula is defined as a measure of the internal resistance experienced by a flat key when subjected to torque. It helps in assessing the strength and durability of the key in mechanical applications, ensuring reliable performance in machine design. 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 using Key (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 -> 6.4E-5 = (2*224.49999458)/(0.005*0.04498998*0.035).

FAQ

What is Shear Stress on Flat Key?

Shear Stress on Flat Key formula is defined as a measure of the internal resistance experienced by a flat key when subjected to torque. It helps in assessing the strength and durability of the key in mechanical applications, ensuring reliable performance in machine design 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 using Key*Length of Key). The Torque Transmitted by Shaft is the measure of rotational force that a shaft can transmit, crucial for ensuring efficient power transfer in mechanical systems, The Width of Key is the measurement of the key's thickness, which ensures proper fit and function within a mechanical assembly, preventing slippage and ensuring torque transmission, The Diameter of Shaft using Key is the measurement across the widest part of a shaft that accommodates a key for secure attachment and torque transmission & The Length of Key is the measurement of the key used in mechanical systems to secure components and transmit torque between shafts and hubs.

How to calculate Shear Stress on Flat Key?

Shear Stress on Flat Key formula is defined as a measure of the internal resistance experienced by a flat key when subjected to torque. It helps in assessing the strength and durability of the key in mechanical applications, ensuring reliable performance in machine design is calculated using Shear Stress = (2*Torque Transmitted by Shaft)/(Width of Key*Diameter of Shaft using Key*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 using Key (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 using 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 Shear Stress?

In this formula, Shear Stress uses Torque Transmitted by Shaft, Width of Key, Diameter of Shaft using Key & Length of Key. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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