< 1 Other formulas that calculate the same Output

Yield Strength of Reinforcing Steel when Column Ultimate Strength is Given
Yield Strength=(Ultimate strength-0.85*28 Day Compressive Strength of Concrete*(Gross area-Area of Reinforcement))/Area of Reinforcement GO

Hall - Petch Relation Formula

Yield Strength=Constant in Hall Petch relation+Coefficient in Hall Petch relation*sqrt(Grain size (in mm))
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What is Hall - Petch relation?

The Hall–Petch relationship tells us that we could achieve strength in materials that is as high as their own theoretical strength by reducing grain size. Indeed, their strength continues to increase with decreasing grain size to approximately 20–30 nm where the strength peaks. Finer grain sizes also increase toughness, which is an uncommon coincidence since strength and toughness are normally inversely related as mentioned earlier.

How to Calculate Hall - Petch Relation?

Hall - Petch Relation calculator uses Yield Strength=Constant in Hall Petch relation+Coefficient in Hall Petch relation*sqrt(Grain size (in mm)) to calculate the Yield Strength, The Hall - Petch relation tells us that we could achieve strength in materials that is as high as their own theoretical strength by reducing grain size. . Yield Strength and is denoted by σy symbol.

How to calculate Hall - Petch Relation using this online calculator? To use this online calculator for Hall - Petch Relation, enter Constant in Hall Petch relation (𝛔0), Coefficient in Hall Petch relation (K) and Grain size (in mm) (d) and hit the calculate button. Here is how the Hall - Petch Relation calculation can be explained with given input values -> 5.000E+7 = 50+2.5*sqrt(1E-07).

FAQ

What is Hall - Petch Relation?
The Hall - Petch relation tells us that we could achieve strength in materials that is as high as their own theoretical strength by reducing grain size. and is represented as σy=𝛔0+K*sqrt(d) or Yield Strength=Constant in Hall Petch relation+Coefficient in Hall Petch relation*sqrt(Grain size (in mm)). Constant in Hall Petch relation which has the dimensions that of stress, Coefficient in Hall Petch relation that is multiplie with the grain size. The units correspond to MPa/sqrt(mm) and Grain size (in mm)is the average size of grains in metal/alloy.
How to calculate Hall - Petch Relation?
The Hall - Petch relation tells us that we could achieve strength in materials that is as high as their own theoretical strength by reducing grain size. is calculated using Yield Strength=Constant in Hall Petch relation+Coefficient in Hall Petch relation*sqrt(Grain size (in mm)). To calculate Hall - Petch Relation, you need Constant in Hall Petch relation (𝛔0), Coefficient in Hall Petch relation (K) and Grain size (in mm) (d). With our tool, you need to enter the respective value for Constant in Hall Petch relation, Coefficient in Hall Petch relation and Grain size (in mm) 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 Yield Strength?
In this formula, Yield Strength uses Constant in Hall Petch relation, Coefficient in Hall Petch relation and Grain size (in mm). We can use 1 other way(s) to calculate the same, which is/are as follows -
• Yield Strength=(Ultimate strength-0.85*28 Day Compressive Strength of Concrete*(Gross area-Area of Reinforcement))/Area of Reinforcement
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