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formula_12_1

codes.eurocode.en_1992_1_1_2004.chapter_12_plain_and_lightly_reinforced_concrete_structures.formula_12_1

Formula 12.1 from EN 1992-1-1:2004: Chapter 12 - Plain and Lightly Reinforced Concrete Structures.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_12_plain_and_lightly_reinforced_concrete_structures.formula_12_1.Form12Dot1PlainConcreteTensileStrength 

Form12Dot1PlainConcreteTensileStrength(
    alpha_ct: DIMENSIONLESS, f_ctk_0_05: MPA, gamma_c: DIMENSIONLESS
)

Bases: Formula

Class representing formula 12.1 for the calculation of the design tensile strength of plain concrete, :math:f_{ctd,pl}.

EN 1992-1-1:2004 art.12.3.1(2) - Formula (12.1)

[:math:f_{ctd,pl}] Design tensile strength of plain concrete [:math:MPa].

EN 1992-1-1:2004 art.12.3.1(2) - Formula (12.1)

Parameters:

  • alpha_ct (DIMENSIONLESS) –

    [:math:\\alpha_{ct,pl}] Reduction factor for plain concrete [-].

  • f_ctk_0_05 (MPa) –

    [:math:f_{ctk,0.05}] Characteristic tensile strength of concrete [:math:MPa].

  • gamma_c (DIMENSIONLESS) –

    [:math:\\gamma_{C}] Partial safety factor for concrete [-].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_12_plain_and_lightly_reinforced_concrete_structures/formula_12_1.py 
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def __init__(
    self,
    alpha_ct: DIMENSIONLESS,
    f_ctk_0_05: MPA,
    gamma_c: DIMENSIONLESS,
) -> None:
    r"""[:math:`f_{ctd,pl}`] Design tensile strength of plain concrete [:math:`MPa`].

    EN 1992-1-1:2004 art.12.3.1(2) - Formula (12.1)

    Parameters
    ----------
    alpha_ct : DIMENSIONLESS
        [:math:`\\alpha_{ct,pl}`] Reduction factor for plain concrete [-].
    f_ctk_0_05 : MPa
        [:math:`f_{ctk,0.05}`] Characteristic tensile strength of concrete [:math:`MPa`].
    gamma_c : DIMENSIONLESS
        [:math:`\\gamma_{C}`] Partial safety factor for concrete [-].
    """
    super().__init__()
    self.alpha_ct = alpha_ct
    self.f_ctk_0_05 = f_ctk_0_05
    self.gamma_c = gamma_c

codes.eurocode.en_1992_1_1_2004.chapter_12_plain_and_lightly_reinforced_concrete_structures.formula_12_1.Form12Dot1PlainConcreteTensileStrength.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 12.1.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_12_plain_and_lightly_reinforced_concrete_structures/formula_12_1.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 12.1."""
    return LatexFormula(
        return_symbol=r"f_{ctd,pl}",
        result=f"{self:.{n}f}",
        equation=r"\alpha_{ct,pl} \cdot \frac{f_{ctk,0.05}}{\gamma_{C}}",
        numeric_equation=rf"{self.alpha_ct:.{n}f} \cdot \frac{{{self.f_ctk_0_05:.{n}f}}}{{{self.gamma_c:.{n}f}}}",
        comparison_operator_label="=",
    )