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formula_6_72

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_72

Formula 6.72 from EN 1992-1-1:2004: Chapter 6 - Ultimate limit state.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_72.Form6Dot72FatigueResistanceConcreteCompression 

Form6Dot72FatigueResistanceConcreteCompression(
    e_cd_max_equ: MPA, r_equ: DIMENSIONLESS
)

Bases: Formula

Class representing formula 6.72 for checking the fatigue resistance of concrete under compression.

Check the fatigue resistance of concrete under compression.

EN 1992-1-1:2004 art.6.8.7(1) - Formula (6.72)

Parameters:

  • e_cd_max_equ (MPA) –

    [\(E_{cd,max,equ}\)] Maximum compressive stress level [\(MPa\)].

  • r_equ (DIMENSIONLESS) –

    [\(R_{equ}\)] Stress ratio [\(-\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_72.py 
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def __init__(
    self,
    e_cd_max_equ: MPA,
    r_equ: DIMENSIONLESS,
) -> None:
    r"""Check the fatigue resistance of concrete under compression.

    EN 1992-1-1:2004 art.6.8.7(1) - Formula (6.72)

    Parameters
    ----------
    e_cd_max_equ : MPA
        [$E_{cd,max,equ}$] Maximum compressive stress level [$MPa$].
    r_equ : DIMENSIONLESS
        [$R_{equ}$] Stress ratio [$-$].
    """
    super().__init__()
    self.e_cd_max_equ = e_cd_max_equ
    self.r_equ = r_equ

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_72.Form6Dot72FatigueResistanceConcreteCompression.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.72.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_72.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.72."""
    _equation: str = r"E_{cd,max,equ} + 0.43 \cdot \sqrt{1 - R_{equ}} \leq 1"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            "E_{cd,max,equ}": f"{self.e_cd_max_equ:.{n}f}",
            "R_{equ}": f"{self.r_equ:.{n}f}",
        },
        False,
    )
    return LatexFormula(
        return_symbol=r"CHECK",
        result="OK" if self.__bool__() else "\\text{Not OK}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="\\to",
        unit="",
    )