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formula_5_33

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_33

Formula 5.33 from EN 1992-1-1:2004: Chapter 5 - Structural Analysis.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_33.Form5Dot33NominalSecondOrderMoment 

Form5Dot33NominalSecondOrderMoment(
    n_ed: KN, curvature: DIMENSIONLESS, l_o: M, c: DIMENSIONLESS
)

Bases: Formula

Class representing formula 5.33 for the calculation of the nominal 2nd order moment, [\(M_{2}\)].

[\(M_{2}\)] Nominal 2nd order moment [\(kNm\)].

EN 1992-1-1:2004 art.5.8.8.2 - Formula (5.33)

Parameters:

  • n_ed (KN) –

    [\(N_{Ed}\)] Design value of axial force [\(kN\)].

  • curvature (DIMENSIONLESS) –

    [\(\frac{1}{r}\)] Curvature (1/r), see 5.8.8.3 [\(1/m\)].

  • l_o (M) –

    [\(l_{o}\)] Effective length, see 5.8.3.2 [\(m\)].

  • c (DIMENSIONLESS) –

    [\(c\)] Factor depending on the curvature distribution, see 5.8.8.2 (4). [-].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_33.py 
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def __init__(
    self,
    n_ed: KN,
    curvature: DIMENSIONLESS,
    l_o: M,
    c: DIMENSIONLESS,
) -> None:
    r"""[$M_{2}$] Nominal 2nd order moment [$kNm$].

    EN 1992-1-1:2004 art.5.8.8.2 - Formula (5.33)

    Parameters
    ----------
    n_ed : KN
        [$N_{Ed}$] Design value of axial force [$kN$].
    curvature : DIMENSIONLESS
        [$\frac{1}{r}$] Curvature (1/r), see 5.8.8.3 [$1/m$].
    l_o : M
        [$l_{o}$] Effective length, see 5.8.3.2 [$m$].
    c : DIMENSIONLESS
        [$c$] Factor depending on the curvature distribution, see 5.8.8.2 (4). [-].
    """
    super().__init__()
    self.n_ed = n_ed
    self.curvature = curvature
    self.l_o = l_o
    self.c = c

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_33.Form5Dot33NominalSecondOrderMoment.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 5.33.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_33.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 5.33."""
    return LatexFormula(
        return_symbol=r"M_{2}",
        result=f"{self:.{n}f}",
        equation=r"N_{Ed} \cdot \left(\frac{1}{r}\right) \cdot \frac{l_{o}^2}{c}",
        numeric_equation=rf"{self.n_ed:.{n}f} \cdot \left({self.curvature:.{n}f}\right) " rf"\cdot \frac{{{self.l_o:.{n}f}^2}}{{{self.c:.{n}f}}}",
        comparison_operator_label="=",
        unit="kNm",
    )