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Development Length for simple Support Formula

GoBasic Development Length for Bars and Wire in Tension Formula

GoBasic Development Length for 14mm 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{M n}{V u}) + (La)

Ld - Development Length?M_n - Computed Flexural Strength?V_u - Applied Shear at Section?La - Additional Embedment Length?

Development Length for simple Support Example

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Here is how the Development Length for simple Support equation looks like with Values.

Here is how the Development Length for simple Support equation looks like with Units.

Here is how the Development Length for simple Support equation looks like.

100.3 = (\frac{10.02}{33.4}) + (100)

100.3mm = (\frac{10.02MPa}{33.4N/mm²}) + (100mm)

100.3 = (\frac{10.02}{33.4}) + (100)

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Development Length for simple Support Solution

Follow our step by step solution on how to calculate Development Length for simple Support?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Ld = (\frac{10.02MPa}{33.4N/mm²}) + (100mm)

Next Step Convert Units

∴

Ld = (\frac{10.02MPa}{33.4MPa}) + (100mm)

Next Step Prepare to Evaluate

∴

Ld = (\frac{10.02}{33.4}) + (100)

Next Step Evaluate

∴

Ld = 0.1003m

LAST Step Convert to Output's Unit

∴

Ld = 100.3mm

Development Length for simple Support Formula Elements

Variables

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

Computed Flexural Strength

Computed Flexural Strength is defined as the stress in a material just before it yields in a flexure test with all reinforcing steel at section stressed to fy.

Symbol: M_n

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Computed Flexural Strength

Applied Shear at Section

Applied Shear at Section of a reinforced concrete beam is a result of the dowel force, aggregate interlock, and shear compression force.

Symbol: V_u

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Applied Shear at Section

Additional Embedment Length

Additional Embedment Length is the length of embedded steel reinforcement provided beyond a critical section, beyond inflection point or center of support.

Symbol: La

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Additional Embedment Length

Other Formulas to find Development Length

Go Basic Development Length for Bars and Wire in Tension

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

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}}

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 Development Length for simple Support?

Development Length for simple Support evaluator uses Development Length = (Computed Flexural Strength/Applied Shear at Section)+(Additional Embedment Length) to evaluate the Development Length, The Development Length for simple Support is defined as the required length of bar or reinforcement embedded or projected into a concrete section. Development Length is denoted by Ld symbol.

How to evaluate Development Length for simple Support using this online evaluator? To use this online evaluator for Development Length for simple Support, enter Computed Flexural Strength (M_n), Applied Shear at Section (V_u) & Additional Embedment Length (La) and hit the calculate button.

FAQs on Development Length for simple Support

What is the formula to find Development Length for simple Support?

The formula of Development Length for simple Support is expressed as Development Length = (Computed Flexural Strength/Applied Shear at Section)+(Additional Embedment Length). Here is an example- 101497.3 = (10020000/33400000)+(0.1).

How to calculate Development Length for simple Support?

With Computed Flexural Strength (M_n), Applied Shear at Section (V_u) & Additional Embedment Length (La) we can find Development Length for simple Support using the formula - Development Length = (Computed Flexural Strength/Applied Shear at Section)+(Additional Embedment Length).

What are the other ways to Calculate Development Length?

Here are the different ways to Calculate Development Length-

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

Can the Development Length for simple Support be negative?

No, the Development Length for simple Support, measured in Length cannot be negative.

Which unit is used to measure Development Length for simple Support?

Development Length for simple Support is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Development Length for simple Support can be measured.

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Development Length for simple Support Formula

​GoBasic Development Length for Bars and Wire in Tension Formula

​GoBasic Development Length for 14mm Diameter Bars Formula

Development Length for simple Support Example

Development Length for simple Support Solution

Development Length for simple Support Formula Elements

Other Formulas to find Development Length

Other formulas in Development Length Requirements category

How to Evaluate Development Length for simple Support?

FAQs on Development Length for simple Support

Variable Name

GoBasic Development Length for Bars and Wire in Tension Formula

GoBasic Development Length for 14mm Diameter Bars Formula