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formula_5_42

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_42

Formula 5.42 from EN 1992-1-1:2004: Chapter 5 - Structural Analysis.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_42.Form5Dot42ConcreteCompressiveStress

Form5Dot42ConcreteCompressiveStress(sigma_c: MPA, f_ck_t: MPA)

Bases: Formula

Class representing formula 5.42 for calculating the maximum concrete compressive stress.

Calculate the concrete compressive stress resulting from the prestressing force.

EN 1992-1-1:2004 art.5.10.2.2(5) - Formula (5.42)

Parameters:

  • sigma_c (MPA) –

    [\(\sigma_{c}\)] Concrete compressive stress [MPa].

  • f_ck_t (MPA) –

    [\(f_{ck}(t)\)] Characteristic compressive strength of concrete at time t [MPa].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_42.py
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def __init__(
    self,
    sigma_c: MPA,
    f_ck_t: MPA,
) -> None:
    r"""Calculate the concrete compressive stress resulting from the prestressing force.

    EN 1992-1-1:2004 art.5.10.2.2(5) - Formula (5.42)

    Parameters
    ----------
    sigma_c : MPA
        [$\sigma_{c}$] Concrete compressive stress [MPa].
    f_ck_t : MPA
        [$f_{ck}(t)$] Characteristic compressive strength of concrete at time t [MPa].
    """
    super().__init__()
    self.sigma_c = sigma_c
    self.f_ck_t = f_ck_t

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_42.Form5Dot42ConcreteCompressiveStress.latex

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 5.42.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_42.py
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 5.42."""
    return LatexFormula(
        return_symbol=r"CHECK",
        result="OK" if self.__bool__() else "\\text{Not OK}",
        equation=r"\sigma_{c} \leq 0.6 \cdot f_{ck}(t)",
        numeric_equation=rf"{self.sigma_c:.{n}f} \leq 0.6 \cdot {self.f_ck_t:.{n}f}",
        comparison_operator_label="\\to",
        unit="",
    )