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formula_5_17

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_17

Formula 5.17 from EN 1992-1-1:2004: Chapter 5 - Structural Analysis.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_17.Form5Dot17EffectiveLengthBucklingLoad 

Form5Dot17EffectiveLengthBucklingLoad(ei: KN_M2, n_b: KN)

Bases: Formula

Class representing formula 5.17 for the calculation of effective length of unbraced members, in the case where criteria (2) and (3) do not apply such as by variable loading, [\(l_0\)].

[\(l_{0}\)] Effective length for unbraced members [\(m\)].

EN 1992-1-1:2004 art.5.8.3.2(6) - Formula (5.17)

Parameters:

  • ei (KN_M2) –

    [\(EI\)] is a representative bending stiffness [\(kN/m^2\)].

  • n_b (KN) –

    [\(N_{b}\)] is the buckling load expressed in terms of EI (in equation (5.14) i should correspond to this EI). [\(kN\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_17.py 
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def __init__(self, ei: KN_M2, n_b: KN) -> None:
    r"""[$l_{0}$] Effective length for unbraced members [$m$].

    EN 1992-1-1:2004 art.5.8.3.2(6) - Formula (5.17)

    Parameters
    ----------
    ei : KN_M2
        [$EI$] is a representative bending stiffness [$kN/m^2$].
    n_b : KN
        [$N_{b}$] is the buckling load expressed in terms of EI (in equation (5.14) i should correspond
        to this EI). [$kN$].
    """
    super().__init__()
    self.ei = ei
    self.n_b = n_b

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_17.Form5Dot17EffectiveLengthBucklingLoad.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 5.17.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_17.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 5.17."""
    return LatexFormula(
        return_symbol=r"l_0",
        result=f"{self:.{n}f}",
        equation=r"\pi \cdot \sqrt{\frac{EI}{N_{b}}}",
        numeric_equation=rf"\pi \cdot \sqrt{{\frac{{{self.ei}}}{{{self.n_b}}}}}",
        comparison_operator_label="=",
    )