The development length of reinforcement is a critical parameter in structural concrete design, ensuring that reinforcing bars can adequately transfer stresses between the concrete and steel. Seção 13 como de 3600 (2018) provides the requirements and methodologies for calculating development length to achieve proper anchorage of reinforcement. This ensures structural integrity, segurança, and serviceability under various loading conditions. The development length is influenced by bar size, resistência do concreto, bond conditions, cobrir, espaçamento, and whether the bar is in tension or compression. The provision covers basic development lengths for straight bars, adjustments for epoxy coatings, confinement effects, and conditions where bars are hooked or bundled.

The latest SkyCiv Foundation Design update supports standard hooked reinforcements, enabling precise development length checks. Users can now customize footing bar ends as straight bars, cogs, or 180° hooks, ensuring flexibility for various design needs. This guide outlines the step-by-step process for determining the required development length for pad footings following AS 3600 Seção 13, considering relevant modification factors to comply with code requirements.

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Starter Bar Development Length Check

Following AS 3600 (2018) Seção 13.1.5.1, the development length of starter bars is the minimum embedment required to ensure adequate reinforcement anchorage into concrete. This is critical for transferring stress between the bar and the surrounding concrete to prevent bond failure. The required length is calculated based on bar diameter, resistência do concreto, and bond conditions, ensuring structural integrity under service and ultimate loads.

Seção 13.1.5.1: Development length of deformed bars in compression (eu_seu,cb)

Basic development length:

\(eu_{seu,cb} = MAX \left[ \fratura{0.22 f_{seu}}{ \sqrt{f_{c}'}} \vezes d_{b}, 0.0435 f_{seu} d_{b}, 200mm \right]\)Onde:

f_seu = Rebar yield strength (MPa)
f_c‘ = Concrete strength
d_b = Starter bar diameter (milímetros)

 

The SkyCiv Foundation Design module checks each load combination to determine if the column is subjected to tensile forces. Se for assim, the required development length is calculated following Section 13.1.2 (Development length for a deformed bar in tension). A brief explanation of this calculation is provided later in the guide.

Required footing thickness (D_req)

The thickness of the footing should be greater than or equal to the calculated required embedment of the starter bars. The minimum footing thickness is checked by using Equations 3 e 4.

\(D_{req} = cover + d_{b,x} + d_{b,z} + d_{b, starter} + eu_{seu} \) (Eq. 3)

\(D_{req’d} \leq t\) (Eq. 4)

Onde:

t = Footing Thickness (milímetros)
cover = Bottom concrete cover (milímetros)
d_b,x, d_b,z = Footing bar size in the x and z directions (milímetros)
d_b,starter= Starter bar size (milímetros)
eu_seu = Development length required in compression or tension (milímetros)

 

Development Length Check For Footing Reinforcements

The SkyCiv Foundation Design module allows users to specify bar end configurations as straight. 90° cog or 180° hooked bars.

 

Calculating the required development length for footing reinforcements directly influences the footing’s dimensions, ensuring they are adequate to anchor the reinforcement against tensile forces. Seção 13.1.2 provides a guide on determining the required development length of the footing reinforcements.

Basic development length:

\(eu_{seu,tb} = MAX \left[ \fratura{0.5 inclui cálculos detalhados passo a passo{1} inclui cálculos detalhados passo a passo{3} f_{Y} d_{b}}{inclui cálculos detalhados passo a passo{2} \sqrt{f’_{c}}}, 0.058 f_{Y} inclui cálculos detalhados passo a passo{1} d_{b} \direito]\) (Eq. 5)Onde:

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

Straight bar:

\(eu_{seu,t} = l_{seu,tb}\) (Eq. 6)

90° cog or 180° hooked bar:

\(eu_{seu,t} =0.5 \times l_{seu,tb}\) (Eq. 7) 

Seção 13.1.2.2 also specifies that the value of l_seu,t calculated as above shall be multiplied by the following:

1. Multiplied by 1.5 for epoxy-coated bars
2. Multiplied by 1.3 when lightweight concrete is used
3. Multiplied by 1.5 & 1.3 for both epoxy-coated bars and lightweight concrete is used

 

Anchorage Length Provided

 

\(eu_{provided} \geq l_{seu,t}\) (Eq. 8)

 

Verificação de Detalhamento: Verification of Footing Thickness (t):

The SkyCiv Foundation Design module checks whether the footing thickness is adequate based on bar configuration and concrete cover. If it is insufficient or the bars protrude, it issues a warning instead of a design failure. The module evaluates the footing thickness at each end of the longitudinal and transverse reinforcements in both the top and bottom layers. The minimum pin diameter (D) shall be based on the provision specified by AS 3600 Seção 17.2.3.3

\(\deixou(\texto{h + cobrir}\direito) \leq t\) (Eq. 9)

 

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