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formula_3_19_20

codes.eurocode.en_1992_1_1_2004.chapter_3_materials.formula_3_19_20

Formula 3.19 and 3.20 from EN 1992-1-1:2004: Chapter 3 - Materials.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_3_materials.formula_3_19_20.Form3Dot19And20EffectivePressureZoneHeight 

Form3Dot19And20EffectivePressureZoneHeight(f_ck: MPA)

Bases: Formula

Class representing formula 3.19 and 3.20 for the calculation of the λ factor for the effective pressure zone height.

[\(\lambda\)] Factor effective pressure zone height [\(-\)].

EN 1992-1-1:2004 art.3.1.7(3) - Formula (3.19) and (3.20)

Parameters:

  • f_ck (MPA) –

    [\(f_{ck}\)] Characteristic compressive strength concrete [\(MPa\)]. Valid range: [\(f_{ck} \leq 90\)].

Returns:

  • None –
Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_3_materials/formula_3_19_20.py 
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def __init__(
    self,
    f_ck: MPA,
) -> None:
    r"""[$\lambda$] Factor effective pressure zone height [$-$].

    EN 1992-1-1:2004 art.3.1.7(3) - Formula (3.19) and (3.20)

    Parameters
    ----------
    f_ck : MPA
        [$f_{ck}$] Characteristic compressive strength concrete [$MPa$].
        Valid range: [$f_{ck} \leq 90$].

    Returns
    -------
    None
    """
    super().__init__()
    self.f_ck = f_ck

codes.eurocode.en_1992_1_1_2004.chapter_3_materials.formula_3_19_20.Form3Dot19And20EffectivePressureZoneHeight.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 3.19 and 3.20.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_3_materials/formula_3_19_20.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 3.19 and 3.20."""
    return LatexFormula(
        return_symbol=r"\lambda",
        result=f"{self:.{n}f}",
        equation=r"0.8" if self.f_ck <= 50 else r"0.8 - (f_{ck} - 50) / 400",
        numeric_equation=r"0.8" if self.f_ck <= 50 else rf"0.8 - ({self.f_ck:.{n}f} - 50) / 400",
        comparison_operator_label="=",
    )