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Development Length for simple Support Calculator

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Development Length Requirements

✖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.ⓘ Computed Flexural Strength [M_n]			+10% -10%
✖Applied Shear at Section of a reinforced concrete beam is a result of the dowel force, aggregate interlock, and shear compression force.ⓘ Applied Shear at Section [V_u]			+10% -10%
✖Additional Embedment Length is the length of embedded steel reinforcement provided beyond a critical section, beyond inflection point or center of support.ⓘ Additional Embedment Length [La]			+10% -10%

✖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 for simple Support [Ld]

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Development Length for simple Support Solution

STEP 0: Pre-Calculation Summary

Formula Used

Development Length = (Computed Flexural Strength/Applied Shear at Section)+(Additional Embedment Length)
Ld = (M_n/V_u)+(La)
This formula uses 4 Variables

Variables Used

Development Length - (Measured in Millimeter) - 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.
Computed Flexural Strength - (Measured in Megapascal) - 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.
Applied Shear at Section - (Measured in Megapascal) - Applied Shear at Section of a reinforced concrete beam is a result of the dowel force, aggregate interlock, and shear compression force.
Additional Embedment Length - (Measured in Millimeter) - Additional Embedment Length is the length of embedded steel reinforcement provided beyond a critical section, beyond inflection point or center of support.

STEP 1: Convert Input(s) to Base Unit

Computed Flexural Strength: 10.02 Megapascal --> 10.02 Megapascal No Conversion Required
Applied Shear at Section: 33.4 Newton per Square Millimeter --> 33.4 Megapascal (Check conversion here)
Additional Embedment Length: 100 Millimeter --> 100 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Ld = (M_n/V_u)+(La) --> (10.02/33.4)+(100)

Evaluating ... ...

Ld = 100.3

STEP 3: Convert Result to Output's Unit

0.1003 Meter -->100.3 Millimeter (Check conversion here)

FINAL ANSWER

100.3 Millimeter <-- Development Length

(Calculation completed in 00.020 seconds)

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< Development Length Requirements Calculators

Bar Steel Yield Strength given Basic Development Length

LaTeX 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

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

Basic Development Length for 14mm Diameter Bars

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

Basic Development Length for 18mm Diameter Bars

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

Development Length for simple Support Formula

LaTeX Go

Development Length = (Computed Flexural Strength/Applied Shear at Section)+(Additional Embedment Length)
Ld = (M_n/V_u)+(La)

What is Development Length?

A development length is defined as the amount of reinforcement length needed to be projected into the section to establish the desired bond strength between the concrete and steel.

What does Development Length depend on?

Compressive Strength of Concrete.
Coating of Rebar
Rebar Clear Cover.
Density of Concrete.
Rebar Centre to Centre Spacing etc.

How to Calculate Development Length for simple Support?

Development Length for simple Support calculator uses Development Length = (Computed Flexural Strength/Applied Shear at Section)+(Additional Embedment Length) to calculate 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 calculate Development Length for simple Support using this online calculator? To use this online calculator 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. Here is how the Development Length for simple Support calculation can be explained with given input values -> 101497.3 = (10020000/33400000)+(0.1).

FAQ

What is Development Length for simple Support?

The Development Length for simple Support is defined as the required length of bar or reinforcement embedded or projected into a concrete section and is represented as Ld = (M_n/V_u)+(La) or Development Length = (Computed Flexural Strength/Applied Shear at Section)+(Additional Embedment Length). 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, Applied Shear at Section of a reinforced concrete beam is a result of the dowel force, aggregate interlock, and shear compression force & Additional Embedment Length is the length of embedded steel reinforcement provided beyond a critical section, beyond inflection point or center of support.

How to calculate Development Length for simple Support?

The Development Length for simple Support is defined as the required length of bar or reinforcement embedded or projected into a concrete section is calculated using Development Length = (Computed Flexural Strength/Applied Shear at Section)+(Additional Embedment Length). To calculate Development Length for simple Support, you need Computed Flexural Strength (M_n), Applied Shear at Section (V_u) & Additional Embedment Length (La). With our tool, you need to enter the respective value for Computed Flexural Strength, Applied Shear at Section & Additional Embedment Length 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 Computed Flexural Strength, Applied Shear at Section & Additional Embedment Length. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)

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