Bar Steel Yield Strength given Basic Development Length Calculator

✖Development Length is the amount of reinforcement or bar length needed to be embedded into the column to establish the desired bond strength between the concrete and steel.ⓘ Development Length [Ld]			+10% -10%
✖28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it.ⓘ 28 Day Compressive Strength of Concrete [f_c]			+10% -10%
✖Area of Bar can be defined as the space occupied by a bar.ⓘ Area of Bar [A_b]			+10% -10%

✖Yield Strength of Steel is the level of stress that corresponds to the yield point.ⓘ Bar Steel Yield Strength given Basic Development Length [fy_steel]

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Formula

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Bar Steel Yield Strength given Basic Development Length

Formula

`"fy"_{"steel"} = ("Ld"*sqrt("f"_{"c"}))/(0.04*"A"_{"b"})`

Example

`"249.8699MPa"=("400mm"*sqrt("15MPa"))/(0.04*"155mm²")`

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Bar Steel Yield Strength given Basic Development Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Yield Strength of Steel = (Development Length*sqrt(28 Day Compressive Strength of Concrete))/(0.04*Area of Bar)
fy_steel = (Ld*sqrt(f_c))/(0.04*A_b)
This formula uses 1 Functions, 4 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

Yield Strength of Steel - (Measured in Pascal) - Yield Strength of Steel is the level of stress that corresponds to the yield point.
Development Length - (Measured in Meter) - Development Length is the amount of reinforcement or bar length needed to be embedded into the column to establish the desired bond strength between the concrete and steel.
28 Day Compressive Strength of Concrete - (Measured in Pascal) - 28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it.
Area of Bar - (Measured in Square Meter) - Area of Bar can be defined as the space occupied by a bar.

STEP 1: Convert Input(s) to Base Unit

Development Length: 400 Millimeter --> 0.4 Meter (Check conversion here)
28 Day Compressive Strength of Concrete: 15 Megapascal --> 15000000 Pascal (Check conversion here)
Area of Bar: 155 Square Millimeter --> 0.000155 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

fy_steel = (Ld*sqrt(f_c))/(0.04*A_b) --> (0.4*sqrt(15000000))/(0.04*0.000155)

Evaluating ... ...

fy_steel = 249869893.303704

STEP 3: Convert Result to Output's Unit

249869893.303704 Pascal -->249.869893303704 Megapascal (Check conversion here)

FINAL ANSWER

249.869893303704 ≈ 249.8699 Megapascal <-- Yield Strength of Steel

(Calculation completed in 00.020 seconds)

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< 7 Development Length Requirements Calculators

Bar Steel Yield Strength given Basic Development Length

Go Yield Strength of Steel = (Development Length*sqrt(28 Day Compressive Strength of Concrete))/(0.04*Area of Bar)

Basic Development Length for Bars and Wire in Tension

Go Development Length = (0.04*Area of Bar*Yield Strength of Steel)/sqrt(28 Day Compressive Strength of Concrete)

Computed Flexural Strength given Development Length for Simple Support

Go Computed Flexural Strength = (Applied Shear at Section)*(Development Length-Additional Embedment Length)

Applied Shear at Section for Development Length of Simple Support

Go Applied Shear at Section = (Computed Flexural Strength)/(Development Length-Additional Embedment Length)

Development Length for simple Support

Go Development Length = (Computed Flexural Strength/Applied Shear at Section)+(Additional Embedment Length)

Basic Development Length for 14mm Diameter Bars

Go Development Length = (0.085*Yield Strength of Steel)/sqrt(28 Day Compressive Strength of Concrete)

Basic Development Length for 18mm Diameter Bars

Go Development Length = (0.125*Yield Strength of Steel)/sqrt(28 Day Compressive Strength of Concrete)

Bar Steel Yield Strength given Basic Development Length Formula

Yield Strength of Steel = (Development Length*sqrt(28 Day Compressive Strength of Concrete))/(0.04*Area of Bar)
fy_steel = (Ld*sqrt(f_c))/(0.04*A_b)

How to calculate the Yield Strength of the Bar?

yield strength of the concrete can be calculated by referring the Is code of strength of materials to obtain the above formula

How to Calculate Bar Steel Yield Strength given Basic Development Length?

Bar Steel Yield Strength given Basic Development Length calculator uses Yield Strength of Steel = (Development Length*sqrt(28 Day Compressive Strength of Concrete))/(0.04*Area of Bar) to calculate the Yield Strength of Steel, The Bar Steel Yield Strength given Basic Development Length is defined as the point at which an object ceases to be elastic and becomes plastic. Yield Strength of Steel is denoted by fy_steel symbol.

How to calculate Bar Steel Yield Strength given Basic Development Length using this online calculator? To use this online calculator for Bar Steel Yield Strength given Basic Development Length, enter Development Length (Ld), 28 Day Compressive Strength of Concrete (f_c) & Area of Bar (A_b) and hit the calculate button. Here is how the Bar Steel Yield Strength given Basic Development Length calculation can be explained with given input values -> 0.00025 = (0.4*sqrt(15000000))/(0.04*0.000155).

FAQ

What is Bar Steel Yield Strength given Basic Development Length?

The Bar Steel Yield Strength given Basic Development Length is defined as the point at which an object ceases to be elastic and becomes plastic and is represented as fy_steel = (Ld*sqrt(f_c))/(0.04*A_b) or Yield Strength of Steel = (Development Length*sqrt(28 Day Compressive Strength of Concrete))/(0.04*Area of Bar). Development Length is the amount of reinforcement or bar length needed to be embedded into the column to establish the desired bond strength between the concrete and steel, 28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it & Area of Bar can be defined as the space occupied by a bar.

How to calculate Bar Steel Yield Strength given Basic Development Length?

The Bar Steel Yield Strength given Basic Development Length is defined as the point at which an object ceases to be elastic and becomes plastic is calculated using Yield Strength of Steel = (Development Length*sqrt(28 Day Compressive Strength of Concrete))/(0.04*Area of Bar). To calculate Bar Steel Yield Strength given Basic Development Length, you need Development Length (Ld), 28 Day Compressive Strength of Concrete (f_c) & Area of Bar (A_b). With our tool, you need to enter the respective value for Development Length, 28 Day Compressive Strength of Concrete & Area of Bar and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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