Shear Stress in given Force on Key Calculator

✖The Force on Key is the load applied to a key in a mechanical assembly, crucial for ensuring proper engagement and transmission of torque between components.ⓘ Force on Key [F]			+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 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 in given Force on Key [𝜏_{flat key}]

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Shear Stress in given Force on Key Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress = Force on Key/(Width of Key*Length of Key)
𝜏_{flat key} = F/(b_k*l)
This formula uses 4 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.
Force on Key - (Measured in Newton) - The Force on Key is the load applied to a key in a mechanical assembly, crucial for ensuring proper engagement and transmission of torque between components.
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.
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

Force on Key: 9980 Newton --> 9980 Newton No Conversion Required
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

𝜏_{flat key} = F/(b_k*l) --> 9980/(0.005*0.035)

Evaluating ... ...

𝜏_{flat key} = 57028571.4285714

STEP 3: Convert Result to Output's Unit

57028571.4285714 Pascal -->57.0285714285714 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

57.0285714285714 ≈ 57.02857 Newton per Square Millimeter <-- Shear Stress

(Calculation completed in 00.008 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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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 in given Force on Key Formula

LaTeX Go

Shear Stress = Force on Key/(Width of Key*Length of Key)
𝜏_{flat key} = F/(b_k*l)

Define Shear Stress

hear 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 given Force on Key?

Shear Stress in given Force on Key calculator uses Shear Stress = Force on Key/(Width of Key*Length of Key) to calculate the Shear Stress, Shear Stress in given Force on Key formula is defined as a measure of the internal resistance of a key to sliding or shearing under an applied force. It is crucial in assessing the strength and reliability of mechanical connections in machine design. Shear Stress is denoted by 𝜏_{flat key} symbol.

How to calculate Shear Stress in given Force on Key using this online calculator? To use this online calculator for Shear Stress in given Force on Key, enter Force on Key (F), Width of Key (b_k) & Length of Key (l) and hit the calculate button. Here is how the Shear Stress in given Force on Key calculation can be explained with given input values -> 6.4E-5 = 9980/(0.005*0.035).

FAQ

What is Shear Stress in given Force on Key?

Shear Stress in given Force on Key formula is defined as a measure of the internal resistance of a key to sliding or shearing under an applied force. It is crucial in assessing the strength and reliability of mechanical connections in machine design and is represented as 𝜏_{flat key} = F/(b_k*l) or Shear Stress = Force on Key/(Width of Key*Length of Key). The Force on Key is the load applied to a key in a mechanical assembly, crucial for ensuring proper engagement and transmission of torque between components, 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 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 in given Force on Key?

Shear Stress in given Force on Key formula is defined as a measure of the internal resistance of a key to sliding or shearing under an applied force. It is crucial in assessing the strength and reliability of mechanical connections in machine design is calculated using Shear Stress = Force on Key/(Width of Key*Length of Key). To calculate Shear Stress in given Force on Key, you need Force on Key (F), Width of Key (b_k) & Length of Key (l). With our tool, you need to enter the respective value for Force on 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 Shear Stress?

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

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

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