Tabla de Contenidos

• Understanding Rebar Development Length in Pad Footings
• Longitud de desarrollo de compresión
• Longitud del desarrollo de la tensión
• Módulo de diseño de la Fundación SkyCiv

This documentation explores the significance of rebar development length in concrete footings and its role in ensuring structural integrity. You can gain insights into design code requirements, factors that influence development length, and practical approaches for incorporating them into your footing designs. Plus, discover how the SkyCiv Foundation Design module simplifies the process of verifying rebar development length for your projects.

Understanding Rebar Development Length in Pad Footings

Proper anchorage and reinforcement are essential for the stability and longevity of concrete structures, especially in pad footings. Development length is the minimum length of rebar embedded in the concrete necessary to achieve the required bond strength between steel and concrete. A development length check ensures that reinforcement is adequately embedded to resist loads without slipping, maintaining structural integrity and enabling safe load transfer to the ground. Verifying development length is a key part of footing design, assuring performance under static and dynamic loads and safeguarding overall structure stability.

Different design standards provide specific guidelines for determining these lengths to ensure that reinforcing bars are securely anchored within the concrete. This article provides an overview of the footing development length requirements as specified by various design standards, incluyendo ACI 318-14 (Instituto Americano del Concreto), AS 3600 (Normas Australianas), CSA (Normativa de la Asociación Canadiense), y EN (Eurocódigo). By examining the distinct approaches and criteria set forth by each standard, engineers can better understand how to apply these guidelines effectively in practice, ensuring robust and compliant structural designs.

Longitud de desarrollo de compresión

The compression development length of a footing is a crucial factor in determining its required thickness to ensure proper anchorage of reinforcing bars. This length is calculated based on the need to embed the bars sufficiently within the concrete to achieve adequate bond strength and prevent slippage under compressive loads. Incorporating the correct development length allows engineers to design footings with optimal thickness for reinforcement, ensuring structural stability and durability and enhancing overall safety.

Instituto Americano del Concreto (ACI 318 Sección de 25.4.9)

Métrico:

\(l_{corriente continua} = MAX \left[ \frac{0.24 F_{y} \psi_{r}}{\lambda \sqrt{F'_{c}}} \veces d_{b}, 0.042 F_{y} \psi_{r} D_{b}, 200mm \right]\)Imperial:

\(l_{corriente continua} = MAX \left[ \frac{F_{y} \psi_{r}}{50 \lambda sqrt{F'_{c}}} \veces d_{b}, 0.0003 F_{y} \psi_{r} D_{b}, 8inch \right]\)Dónde:

F_y = Rebar yield strength (MPa, psi)
F’_c = Concrete strength (MPa, psi)
d_b = Dowel bar diameter (mm, in)
ѱ _r = Confinement reinforcement factor (Tabla 25.4.9.3)
ƛ = Concrete type factor (Tabla 25.4.9.3)

Estándar australiano (AS 3600 Sección de 13.1.5)

Basic development length:

\(l_{su,cb} = MAX \left[ \frac{0.22 F_{su}}{ \sqrt{F_{c}"}} \veces d_{b}, 0.0435 F_{su} D_{b}, 200mm \right]\)Dónde:

F_su = Rebar yield strength (MPa)
F_c‘ = Concrete strength
d_b = Starter bar diameter (mm)

Canadian Standard Association (CSA Section 12.3)

\(l_{db} = MAX \left[ \frac{0.24 F_{y}}{ \sqrt{F_{c}"}} \veces d_{b}, 0.045 F_{y} D_{b}, 200mm \right]\)Dónde:

F_y = Rebar yield strength (MPa)
F_c‘ = Concrete strength
d_b = Dowel bar diameter (mm)

Eurocódigo (EN Section 8.4)

Basic anchorage length (8.4.3)

\(l_{b,rqd} = frac{\fi}{4} \veces frac{\sigma_{sd}}{F_{bd}} \)Dónde:

F_y = Rebar yield strength (MPa)
F_bd = Ultimate bond stress (MPa)
σ_sd = Design stress of the bar at the position from where the anchorage is measured from (MPa)
ɸ = Dowel bar diameter (mm)

Design anchorage length (8.4.4)

\(l_{bd} =\alpha_{1} \alfa_{2} \alfa_{3} \alfa_{4} l_{b,rqd} \)Dónde:

una₁, una₂, una₃, una₄ = 1.0 for Compression (Tabla 8.2)

Minimum anchorage length (8.4.4)

\(l_{b, min} =MAX \left[ 0.6 l_{b,rqd}, 10ɸ, 100mm \right]\)Anchorage length in compression

\(l_{bd,compresión} =MAX\left[ l_{b, min}, l_{bd}\verdad]\)

Longitud del desarrollo de la tensión

The tension development length is key to ensuring that a footing’s dimensions are adequate to anchor reinforcement against tensile forces. This length, calculated to achieve the necessary bond strength between concrete and rebar, directly impacts the footing’s size and design. Properly determining the tension development length allows engineers to design footings capable of securely anchoring the reinforcement, enabling the structure to withstand tensile stresses and maintain stability and performance.

Instituto Americano del Concreto (ACI 318 Sección de 25.4)

Straight bars (Sección de 25.4.2.3)

Métrico:

\(l_{d} = MAX \left[ \izquierda( \frac{F_{y}}{1.1 \lambda sqrt{F'_{c}}} \veces frac{\psi_{!} \psi_{2} \psi_3}{\izquierda(C_{b} + K_{tr} \verdad) / D_{b}} \verdad)\veces d_{b}, 300mm \right]\)Imperial:

\(l_{d} = MAX \left[ \izquierda( \frac{3 F_{y}}{40\lambda sqrt{F'_{c}}} \veces frac{\psi_{!} \psi_{2} \psi_3}{\izquierda(C_{b} + K_{tr} \verdad) / D_{b}} \verdad) \veces d_{b}, 12in\right]\)

Dónde:

ѱ_t = Casting position factor (Tabla 25.4.2.4)
ѱ_mi = Bar coating factor (Tabla 25.4.2.4)
ѱ_s = Bar size factor (Tabla 25.4.2.4)
c_b = Minimum bar clear distance (mm, in)
K_tr = Transverse reinforcement index (mm, in)
(c_b + K_tr) / d_b ≤ 2.5

Standard hooked bars (Sección de 25.4.3.1)

Métrico:

\(l_{d} = MAX \left[ \izquierda( \frac{0.24 F_{y} \psi_{mi} \psi_{c} \psi_{r}}{\lambda sqrt{F'_{c}}} \verdad)\veces d_{b}, 8D_{b}, 150 mm \right]\)Imperial:

\(l_{d} = MAX \left[ \izquierda( \frac{F_{y} \psi_{mi} \psi_{c} \psi_{r}}{50 \lambda sqrt{F'_{c}}} \verdad)\veces d_{b}, 8D_{b}, 6 en la derecha]\)

Dónde:

ѱ_mi = Bar coating factor (Tabla 25.4.3.2)
ѱ_c = Bar concrete cover factor (Tabla 25.4.3.2)
ѱ_r = Confining reinforcement factor (Tabla 25.4.3.2)

Estándar australiano (AS 3600 Sección de 13.1.2.2)

Basic development length:

\(l_{su,tb} = MAX \left[ \frac{0.5 Suma de fuerzas de tensión de anclajes con área de cono de ruptura de concreto común{1} Suma de fuerzas de tensión de anclajes con área de cono de ruptura de concreto común{3} F_{y} D_{b}}{Suma de fuerzas de tensión de anclajes con área de cono de ruptura de concreto común{2} \sqrt{F'_{c}}}, 0.058 F_{y} Suma de fuerzas de tensión de anclajes con área de cono de ruptura de concreto común{1} D_{b} \verdad]\)Dónde:

k₁ = 1.3 for rebar with more than 300 mm concrete cast below the bar (1.0 de lo contrario)
k₂ = (132 – d_b)/100
k₃ = 1-[0.15(c_d – d_b)/d_b]
c_d = Minimum bar clear distance (mm)

Straight bar:

\(l_{su,t} = l_{su,tb}\)

Standard hook or cog:

\(l_{su,t} =0.5 \times l_{su,tb}\)

Canadian Standard Association (CSA Section 12)

Straight bars (Sección de 12.2.3)

\(l_{d} = MAX \left[ 0.45 Suma de fuerzas de tensión de anclajes con área de cono de ruptura de concreto común{1} Suma de fuerzas de tensión de anclajes con área de cono de ruptura de concreto común{2} Suma de fuerzas de tensión de anclajes con área de cono de ruptura de concreto común{3} Suma de fuerzas de tensión de anclajes con área de cono de ruptura de concreto común{4} \frac{F_{y}}{\sqrt{F'_{c}}} D_{b}, 300 mm \right]\)Dónde:

k₁ = Bar location factor (12.2.4)
k₂ = Coating factor (12.2.4)
k₃ = Concrete density factor (12.2.4)
k₄ = Bar size factor (12.2.4)

Standard hooked bars (Sección de 12.5)

\(l_{d} = MAX \left[ \frac{100 D_{b}}{\sqrt{F'_{c}}}\veces left(0.7 \frac{F_{y}}{40}\verdad), 8 D_{b}, 150 mm \right]\)

Eurocódigo (EN Section 8.4)

Basic anchorage length (8.4.3)

\(l_{b,rqd} = frac{\fi}{4} \veces frac{\sigma_{sd}}{F_{bd}} \)Design anchorage length (8.4.4)

\(l_{bd} =\alpha_{1} \alfa_{2} \alfa_{3} \alfa_{4} l_{b,rqd} \)Dónde:

una₁, una₂, una₃, una₄ = values shown in Table 8.2 for bars in tension

Minimum anchorage length (8.4.4)

\(l_{b, min} =MAX \left[ 0.3 l_{b,rqd}, 10ɸ, 100mm \right]\)Anchorage length in compression

\(l_{bd,tensión} =MAX\left[ l_{b, min}, l_{bd}\verdad]\)

For a detailed guide on how the SkyCiv Design module verifies development length, refer to the following links:

• Instituto Americano del Concreto (ACI 318)
• Estándar australiano (AS 3600)
• Canadian Standard Association (CSA A23.3)
• Eurocódigo (EN 1992)

Módulo de diseño de la Fundación SkyCiv

The latest update to the SkyCiv Foundation Design module enhances its functionality by introducing the ability to incorporate standard hooked reinforcements, enabling more precise and detailed development length checks. This new feature provides users with greater flexibility by allowing them to customize the reinforcement detailing at each end of the footing bars. Users can now specify reinforcement ends as straight bars, 90-degree hooks (cogs), or 180-degree hooks, catering to various design requirements and standards.

The module also features updated graphics that visually aid in inspecting reinforcement detailing checks. Column dowel or starter bars are now also visible in the 3D graphics. With the newly added solver settings under the Miscellaneous tab, users can toggle to ignore specific design checks, such as development length checks and other advanced solving options.

 

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