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formula_5_14

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_14

Formula 5.14 from EN 1992-1-1:2004: Chapter 5 - Structural Analysis.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_14.Form5Dot14SlendernessRatio 

Form5Dot14SlendernessRatio(l_0: M, i: M)

Bases: Formula

Class representing formula 5.14 for the calculation of the slenderness ratio, [\(\lambda\)].

[\(\lambda\)] Slenderness ratio [\(-\)].

EN 1992-1-1:2004 art.5.8.3.2(1) - Formula (5.14)

Parameters:

  • l_0 (M) –

    [\(l_{0}\)] Effective length [\(m\)]. Use your own implementation of this value or use :class: Form5Dot15EffectiveLengthBraced or :class: Form5Dot15EffectiveLengthUnbraced.

  • i (M) –

    [\(i\)] Radius of gyration of the uncracked concrete section [\(m\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_14.py 
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def __init__(
    self,
    l_0: M,
    i: M,
) -> None:
    r"""[$\lambda$] Slenderness ratio [$-$].

    EN 1992-1-1:2004 art.5.8.3.2(1) - Formula (5.14)

    Parameters
    ----------
    l_0 : M
        [$l_{0}$] Effective length [$m$].
        Use your own implementation of this value or use :class: `Form5Dot15EffectiveLengthBraced`
        or :class: `Form5Dot15EffectiveLengthUnbraced`.
    i : M
        [$i$] Radius of gyration of the uncracked concrete section [$m$].
    """
    super().__init__()
    self.l_0 = l_0
    self.i = i

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_14.Form5Dot14SlendernessRatio.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 5.14.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_14.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 5.14."""
    return LatexFormula(
        return_symbol=r"λ",
        result=f"{self:.{n}f}",
        equation=r"\frac{l_0}{i}",
        numeric_equation=rf"\frac{{{self.l_0:.{n}f}}}{{{self.i:.{n}f}}}",
        comparison_operator_label="=",
    )