Development Length for Hooked Bar Calculator

✖Bar Diameter are most usually comprised to 12, 16, 20, and 25 mm.ⓘ Bar Diameter [D_b]			+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%

✖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 Hooked Bar [Ld]

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Formula

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Development Length for Hooked Bar

Formula

`"Ld" = (1200*"D"_{"b"})/sqrt("f"_{"c"})`

Example

`"400.0017mm"=(1200*"1.291m")/sqrt("15MPa")`

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Download Design for Beams and Ultimate Strength for Rectangular Beams with Tension Reinforcement Formulas PDF

Development Length for Hooked Bar Solution

STEP 0: Pre-Calculation Summary

Formula Used

Development Length = (1200*Bar Diameter)/sqrt(28 Day Compressive Strength of Concrete)
Ld = (1200*D_b)/sqrt(f_c)
This formula uses 1 Functions, 3 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.
Bar Diameter - (Measured in Meter) - Bar Diameter are most usually comprised to 12, 16, 20, and 25 mm.
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

Bar Diameter: 1.291 Meter --> 1.291 Meter No Conversion Required
28 Day Compressive Strength of Concrete: 15 Megapascal --> 15000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Ld = (1200*D_b)/sqrt(f_c) --> (1200*1.291)/sqrt(15000000)

Evaluating ... ...

Ld = 0.400001719996302

STEP 3: Convert Result to Output's Unit

0.400001719996302 Meter -->400.001719996302 Millimeter (Check conversion here)

FINAL ANSWER

400.001719996302 ≈ 400.0017 Millimeter <-- Development Length

(Calculation completed in 00.004 seconds)

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< 12 Shear Reinforcement Calculators

Nominal Shear Strength of Concrete

Go Nominal Shear Strength of Concrete = (1.9*sqrt(28 Day Compressive Strength of Concrete)+((2500*Reinforcement Ratio of Web Section)*((Shear Force in considered Section*Centroidal Distance of Tension Reinforcement)/Bending Moment of Considered Section)))*(Width of Beam Web*Centroidal Distance of Tension Reinforcement)

Stirrup Area given Stirrup Spacing in Practical Design

Go Stirrup Area = (Stirrup Spacing)*(Design of Shear Stress-(2*Capacity Reduction Factor*sqrt(28 Day Compressive Strength of Concrete)*Effective Depth of Beam*Breadth of Web))/(Capacity Reduction Factor*Yield Strength of Reinforcement*Effective Depth of Beam)

Stirrup Spacing for Practical Design

Go Stirrup Spacing = (Stirrup Area*Capacity Reduction Factor*Yield Strength of Steel*Effective Depth of Beam)/((Design of Shear Stress)-((2*Capacity Reduction Factor)*sqrt(28 Day Compressive Strength of Concrete)*Breadth of Web*Effective Depth of Beam))

Stirrups area for Inclined Stirrups

Go Stirrup Area = (Strength of Shear Reinforcement*Stirrup Spacing)/((sin(Angle at which Stirrup is inclined)+cos(Angle at which Stirrup is inclined))*Yield Strength of Reinforcement*Effective Depth of Beam)

Area of Steel Required in Vertical Stirrups

Go Area of Steel required = (Nominal Shear Strength by Reinforcement*Stirrup Spacing)/(Yield Strength of Steel*Centroidal Distance of Tension Reinforcement)

Stirrup Area given Support Angle

Go Stirrup Area = (Strength of Shear Reinforcement)/(Yield Strength of Reinforcement)*sin(Angle at which Stirrup is inclined)

Nominal Reinforcement Shear Strength for Stirrup Area with Support Angle

Go Nominal Shear Strength by Reinforcement = Stirrup Area*Yield Strength of Steel*sin(Angle at which Stirrup is inclined)

Bar Diameter given Development Length for Hooked Bar

Go Bar Diameter = ((Development Length)*(sqrt(28 Day Compressive Strength of Concrete)))/1200

Development Length for Hooked Bar

Go Development Length = (1200*Bar Diameter)/sqrt(28 Day Compressive Strength of Concrete)

Ultimate Shear Capacity of Beam Section

Go Ultimate Shear Capacity = (Nominal Shear Strength of Concrete+Nominal Shear Strength by Reinforcement)

Nominal Shear Strength Provided by Reinforcement

Go Nominal Shear Strength by Reinforcement = Ultimate Shear Capacity-Nominal Shear Strength of Concrete

28 Day Concrete Compressive Strength given Development Length for Hooked Bar

Go 28 Day Compressive Strength of Concrete = ((1200*Bar Diameter)/(Development Length))^2

Development Length for Hooked Bar Formula

Development Length = (1200*Bar Diameter)/sqrt(28 Day Compressive Strength of Concrete)
Ld = (1200*D_b)/sqrt(f_c)

What is Development Length Parameters?

The Development Length for a Hooked Bar formula is defined with fy= 60 ksi (413.7MPa), where db is the bar diameter, in (mm), and is the 28-day compressive strength of the concrete, lb/in2 (MPa).

Why are Hooks provided in reinforcement?

Hooks are provided for to resist seismic movement. To prevent concrete from splitting outward. It prevent slippage of steel from the concrete.

How to Calculate Development Length for Hooked Bar?

Development Length for Hooked Bar calculator uses Development Length = (1200*Bar Diameter)/sqrt(28 Day Compressive Strength of Concrete) to calculate the Development Length, The Development Length for Hooked Bar can be 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. Development Length is denoted by Ld symbol.

How to calculate Development Length for Hooked Bar using this online calculator? To use this online calculator for Development Length for Hooked Bar, enter Bar Diameter (D_b) & 28 Day Compressive Strength of Concrete (f_c) and hit the calculate button. Here is how the Development Length for Hooked Bar calculation can be explained with given input values -> 400001.7 = (1200*1.291)/sqrt(15000000).

FAQ

What is Development Length for Hooked Bar?

The Development Length for Hooked Bar can be 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 and is represented as Ld = (1200*D_b)/sqrt(f_c) or Development Length = (1200*Bar Diameter)/sqrt(28 Day Compressive Strength of Concrete). Bar Diameter are most usually comprised to 12, 16, 20, and 25 mm & 28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it.

How to calculate Development Length for Hooked Bar?

The Development Length for Hooked Bar can be 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 is calculated using Development Length = (1200*Bar Diameter)/sqrt(28 Day Compressive Strength of Concrete). To calculate Development Length for Hooked Bar, you need Bar Diameter (D_b) & 28 Day Compressive Strength of Concrete (f_c). With our tool, you need to enter the respective value for Bar Diameter & 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.

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