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formula_6_75

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_75

Formula 6.75 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_75.Form6Dot75MaximumCompressiveStressLevel 

Form6Dot75MaximumCompressiveStressLevel(sigma_cd_max_equ: MPA, f_cd_fat: MPA)

Bases: Formula

Class representing formula 6.75 for the calculation of the maximum compressive stress level [\(E_{cd,max,equ}\)].

[\(E_{cd,max,equ}\)] Calculation of the maximum compressive stress level.

EN 1992-1-1:2004 art.6.8.7(1) - Formula (6.75)

Parameters:

  • sigma_cd_max_equ (MPA) –

    [\(\sigma_{cd,max,equ}\)] Upper stress of the ultimate amplitude for N cycles [\(MPa\)].

  • f_cd_fat (MPA) –

    [\(f_{cd,fat}\)] Design fatigue strength of concrete according to (6.76) [\(MPa\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_75.py 
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def __init__(
    self,
    sigma_cd_max_equ: MPA,
    f_cd_fat: MPA,
) -> None:
    r"""[$E_{cd,max,equ}$] Calculation of the maximum compressive stress level.

    EN 1992-1-1:2004 art.6.8.7(1) - Formula (6.75)

    Parameters
    ----------
    sigma_cd_max_equ : MPA
        [$\sigma_{cd,max,equ}$] Upper stress of the ultimate amplitude for N cycles [$MPa$].
    f_cd_fat : MPA
        [$f_{cd,fat}$] Design fatigue strength of concrete according to (6.76) [$MPa$].
    """
    super().__init__()
    self.sigma_cd_max_equ = sigma_cd_max_equ
    self.f_cd_fat = f_cd_fat

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_75.Form6Dot75MaximumCompressiveStressLevel.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.75.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_75.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.75."""
    _equation: str = r"\frac{\sigma_{cd,max,equ}}{f_{cd,fat}}"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"\sigma_{cd,max,equ}": f"{self.sigma_cd_max_equ:.{n}f}",
            r"f_{cd,fat}": f"{self.f_cd_fat:.{n}f}",
        },
        False,
    )
    return LatexFormula(
        return_symbol=r"E_{cd,max,equ}",
        result=f"{self:.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="=",
        unit="-",
    )