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 12.2 e 12.3 of CSA A23.3-14 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, 90° hooks, 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 CSA A23.3-14 Section 12, considering relevant modification factors to comply with code requirements.

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Development Length Check for Dowel Bars

Dowel bars in pad footings ensure a strong connection between the footing and columns, effectively transferring loads and maintaining structural integrity. Factors such as bar diameter, grau de aço, and concrete strength determine the required embedment. Ensure the embedment meets or exceeds the calculated length for safe load transfer and anchorage. Normalmente, column pedestals are subjected to compression loads, and the required development length is calculated using the provisions under Section 12.3.

 

Seção 12.3.2: Basic compression development length (eu_{banco de dados})

\(eu_{banco de dados} = MAX \left[ 0.24 \vezes d_{b} \fratura{ f_{Y} }{\sqrt{f’_{c}}}, 0.044 d_{b} f_{Y}, 200mm \right]\) Eq.1Onde:

f_Y = Rebar yield strength (MPa)
f’_c = Concrete strength (MPa)
d_b = Dowel 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 12.5.

Available depth (eu)

The available depth should be greater than or equal to the calculated required embedment of the dowel bars. This depth is checked using Equations 2, then compared to the computed development length for the utility ratio.

 

\(l = t – (cobrir + d_{b,x} + d_{b,z}) \) (Eq. 2)

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)

 

Development Length Check For Footing Reinforcements

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

 

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 12.2 e 12.5 provides a guide on determining the required development length for footing reinforcements.

Straight bars (Seção 12.2.3)

\(eu_{d} = MAX \left[ 0.45 \times k1 \times k2 \times k3 \times k4 \times \frac{ f_{Y} } {\sqrt{ f’_{c}}}\vezes d_{b}, 300mm \right]\)(Eq. 3) 

\(eu_{d} = MAX \left[ 0.6 \times k1 \times k2 \times k3 \times k4 \times \frac{ f_{Y} } {\sqrt{ f’_{c}}}\vezes d_{b}, 300mm \right]\)(Eq. 4)

Onde:

Seção 12.2.4: Modification factors

Standard hooked bars (Seção 12.5)

\(eu_{hb} = frac{100 d_{b}}{\sqrt{f’_{c}}} \) (Eq. 5) 

\(eu_{dh} = MAX \left[ eu_{hb}, 8d_{b}, 150 mm \right]\) (Eq. 6)

The basic development length, eu_hb, shall be multiplied by applicable modification factors:

Seção 12.5.3: Factors modifying hook development length

 

Available Development Length

\(eu_{provided} \geq l_{d,req’d}\) (Eq. 7)

 

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.

\(\deixou(\texto{h + cobrir}\direito) \leq t\) (Eq. 8)

 

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