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Basic Development Length for Bars and Wire in Tension Formula

GoBasic Development Length for 14mm Diameter Bars Formula

GoBasic Development Length for 18mm Diameter Bars Formula

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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. Check FAQs

Ld = \frac{0.04 \cdot A b \cdot fy steel}{\sqrt{f c}}

Ld - Development Length?A_b - Area of Bar?fy_steel - Yield Strength of Steel?f_c - 28 Day Compressive Strength of Concrete?

Basic Development Length for Bars and Wire in Tension Example

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Here is how the Basic Development Length for Bars and Wire in Tension equation looks like with Values.

Here is how the Basic Development Length for Bars and Wire in Tension equation looks like with Units.

Here is how the Basic Development Length for Bars and Wire in Tension equation looks like.

400.2083 = \frac{0.04 \cdot 155 \cdot 250}{\sqrt{15}}

400.2083mm = \frac{0.04 \cdot 155mm² \cdot 250MPa}{\sqrt{15MPa}}

400.2083 = \frac{0.04 \cdot 155 \cdot 250}{\sqrt{15}}

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Basic Development Length for Bars and Wire in Tension Solution

Follow our step by step solution on how to calculate Basic Development Length for Bars and Wire in Tension?

FIRST Step Consider the formula

Ld = \frac{0.04 \cdot A b \cdot fy steel}{\sqrt{f c}}

Next Step Substitute values of Variables

∴

Ld = \frac{0.04 \cdot 155mm² \cdot 250MPa}{\sqrt{15MPa}}

Next Step Convert Units

∴

Ld = \frac{0.04 \cdot 0.0002m² \cdot 2.5E+8Pa}{\sqrt{1.5E+7Pa}}

Next Step Prepare to Evaluate

∴

Ld = \frac{0.04 \cdot 0.0002 \cdot 2.5E+8}{\sqrt{1.5E+7}}

Next Step Evaluate

∴

Ld = 0.4002082791081m

Next Step Convert to Output's Unit

∴

Ld = 400.2082791081mm

LAST Step Rounding Answer

∴

Ld = 400.2083mm

Basic Development Length for Bars and Wire in Tension Formula Elements

Variables

Functions

Development Length

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.

Symbol: Ld

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Development Length

Area of Bar

Area of Bar can be defined as the space occupied by a bar.

Symbol: A_b

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Bar

Yield Strength of Steel

Yield Strength of Steel is the level of stress that corresponds to the yield point.

Symbol: fy_steel

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Yield Strength of Steel

28 Day Compressive Strength of Concrete

28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it.

Symbol: f_c

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find 28 Day Compressive Strength of Concrete

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.

Syntax: sqrt(Number)

Other Formulas to find Development Length

Go Basic Development Length for 14mm Diameter Bars

Ld = \frac{0.085 \cdot fy steel}{\sqrt{f c}}

Go Basic Development Length for 18mm Diameter Bars

Ld = \frac{0.125 \cdot fy steel}{\sqrt{f c}}

Go Development Length for simple Support

Ld = (\frac{M n}{V u}) + (La)

Other formulas in Development Length Requirements category

Go Bar Steel Yield Strength given Basic Development Length

fy steel = \frac{Ld \cdot \sqrt{f c}}{0.04 \cdot A b}

Go Computed Flexural Strength given Development Length for Simple Support

M n = (V u) \cdot (Ld - La)

Go Applied Shear at Section for Development Length of Simple Support

V u = \frac{M n}{Ld - La}

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

Basic Development Length for Bars and Wire in Tension evaluator uses Development Length = (0.04*Area of Bar*Yield Strength of Steel)/sqrt(28 Day Compressive Strength of Concrete) to evaluate 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 evaluate Basic Development Length for Bars and Wire in Tension using this online evaluator? To use this online evaluator for Basic Development Length for Bars and Wire in Tension, enter Area of Bar (A_b), Yield Strength of Steel (fy_steel) & 28 Day Compressive Strength of Concrete (f_c) and hit the calculate button.

FAQs on Basic Development Length for Bars and Wire in Tension

What is the formula to find Basic Development Length for Bars and Wire in Tension?

The formula of Basic Development Length for Bars and Wire in Tension is expressed as Development Length = (0.04*Area of Bar*Yield Strength of Steel)/sqrt(28 Day Compressive Strength of Concrete). Here is an example- 400208.3 = (0.04*0.000155*250000000)/sqrt(15000000).

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

With Area of Bar (A_b), Yield Strength of Steel (fy_steel) & 28 Day Compressive Strength of Concrete (f_c) we can find Basic Development Length for Bars and Wire in Tension using the formula - Development Length = (0.04*Area of Bar*Yield Strength of Steel)/sqrt(28 Day Compressive Strength of Concrete). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Development Length?

Here are the different ways to Calculate Development Length-

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)

Can the Basic Development Length for Bars and Wire in Tension be negative?

No, the Basic Development Length for Bars and Wire in Tension, measured in Length cannot be negative.

Which unit is used to measure Basic Development Length for Bars and Wire in Tension?

Basic Development Length for Bars and Wire in Tension is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Basic Development Length for Bars and Wire in Tension can be measured.

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Basic Development Length for Bars and Wire in Tension Formula

​GoBasic Development Length for 14mm Diameter Bars Formula

​GoBasic Development Length for 18mm Diameter Bars Formula

Basic Development Length for Bars and Wire in Tension Example

Basic Development Length for Bars and Wire in Tension Solution

Basic Development Length for Bars and Wire in Tension Formula Elements

Other Formulas to find Development Length

Other formulas in Development Length Requirements category

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

FAQs on Basic Development Length for Bars and Wire in Tension

Variable Name

GoBasic Development Length for 14mm Diameter Bars Formula

GoBasic Development Length for 18mm Diameter Bars Formula