Basic Development Length for Bars and Wire in Tension Solution

STEP 0: Pre-Calculation Summary
Formula Used
Development Length = (0.04*Area of Bar*Yield Strength of Steel)/sqrt(28 Day Compressive Strength of Concrete)
Ld = (0.04*Ab*fysteel)/sqrt(fc)
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
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.
Area of Bar - (Measured in Square Meter) - Area of Bar can be defined as the space occupied by a bar.
Yield Strength of Steel - (Measured in Pascal) - Yield Strength of Steel is the level of stress that corresponds to the yield point.
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.
STEP 1: Convert Input(s) to Base Unit
Area of Bar: 155 Square Millimeter --> 0.000155 Square Meter (Check conversion here)
Yield Strength of Steel: 250 Megapascal --> 250000000 Pascal (Check conversion here)
28 Day Compressive Strength of Concrete: 15 Megapascal --> 15000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ld = (0.04*Ab*fysteel)/sqrt(fc) --> (0.04*0.000155*250000000)/sqrt(15000000)
Evaluating ... ...
Ld = 0.4002082791081
STEP 3: Convert Result to Output's Unit
0.4002082791081 Meter -->400.2082791081 Millimeter (Check conversion here)
FINAL ANSWER
400.2082791081 400.2083 Millimeter <-- Development Length
(Calculation completed in 00.004 seconds)

Credits

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National Institute of Technology (NIT), Warangal
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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)

Basic Development Length for Bars and Wire in Tension Formula

Development Length = (0.04*Area of Bar*Yield Strength of Steel)/sqrt(28 Day Compressive Strength of Concrete)
Ld = (0.04*Ab*fysteel)/sqrt(fc)

What is Development Length for Bars and Wires in a Tension Stress?

The basic development length of bars is defined as that length of embedment necessary to develop the full tensile strength of the bar, controlled by either pulling or splitting.

How to Calculate Basic Development Length for Bars and Wire in Tension?

Basic Development Length for Bars and Wire in Tension calculator uses Development Length = (0.04*Area of Bar*Yield Strength of Steel)/sqrt(28 Day Compressive Strength of Concrete) to calculate the Development Length, Basic Development Length for Bars and Wire in Tension is defined as the amount of reinforcement (bar) length needed to be embedded or projected into the column to establish the desired bond strength between the concrete and steel (or any other two types of material). Development Length is denoted by Ld symbol.

How to calculate Basic Development Length for Bars and Wire in Tension using this online calculator? To use this online calculator for Basic Development Length for Bars and Wire in Tension, enter Area of Bar (Ab), Yield Strength of Steel (fysteel) & 28 Day Compressive Strength of Concrete (fc) and hit the calculate button. Here is how the Basic Development Length for Bars and Wire in Tension calculation can be explained with given input values -> 400208.3 = (0.04*0.000155*250000000)/sqrt(15000000).

FAQ

What is Basic Development Length for Bars and Wire in Tension?
Basic Development Length for Bars and Wire in Tension is defined as the amount of reinforcement (bar) length needed to be embedded or projected into the column to establish the desired bond strength between the concrete and steel (or any other two types of material) and is represented as Ld = (0.04*Ab*fysteel)/sqrt(fc) or Development Length = (0.04*Area of Bar*Yield Strength of Steel)/sqrt(28 Day Compressive Strength of Concrete). Area of Bar can be defined as the space occupied by a bar, Yield Strength of Steel is the level of stress that corresponds to the yield point & 28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it.
How to calculate Basic Development Length for Bars and Wire in Tension?
Basic Development Length for Bars and Wire in Tension is defined as the amount of reinforcement (bar) length needed to be embedded or projected into the column to establish the desired bond strength between the concrete and steel (or any other two types of material) is calculated using Development Length = (0.04*Area of Bar*Yield Strength of Steel)/sqrt(28 Day Compressive Strength of Concrete). To calculate Basic Development Length for Bars and Wire in Tension, you need Area of Bar (Ab), Yield Strength of Steel (fysteel) & 28 Day Compressive Strength of Concrete (fc). With our tool, you need to enter the respective value for Area of Bar, Yield Strength of Steel & 28 Day Compressive Strength of Concrete 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 Development Length?
In this formula, Development Length uses Area of Bar, Yield Strength of Steel & 28 Day Compressive Strength of Concrete. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Development Length = (0.085*Yield Strength of Steel)/sqrt(28 Day Compressive Strength of Concrete)
  • Development Length = (0.125*Yield Strength of Steel)/sqrt(28 Day Compressive Strength of Concrete)
  • Development Length = (Computed Flexural Strength/Applied Shear at Section)+(Additional Embedment Length)
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