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formula_5_31

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_31

Formula 5.31 from EN 1992-1-1:2004: Chapter 5 - Structural Analysis.

Classes:

  • Form5Dot31DesignMoment –

    Class representing formula 5.31 for the calculation of the design moment, [\(M_{Ed}\)].

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_31.Form5Dot31DesignMoment 

Form5Dot31DesignMoment(m_0ed: KNM, m_2: KNM)

Bases: Formula

Class representing formula 5.31 for the calculation of the design moment, [\(M_{Ed}\)].

[\(M_{Ed}\)] Design moment [\(kNm\)].

EN 1992-1-1:2004 art.5.8.8.2(2) - Formula (5.31)

Parameters:

  • m_0ed (KNM) –

    [\(M_{0Ed}\)] First order moment, including the effect of imperfections; see also 5.8.8.2 (2) [\(kNm\)].

  • m_2 (KNM) –

    [\(M_{2}\)] Nominal 2nd order moment; see 5.8.8.2 (3) [\(kNm\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_31.py 
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def __init__(
    self,
    m_0ed: KNM,
    m_2: KNM,
) -> None:
    r"""[$M_{Ed}$] Design moment [$kNm$].

    EN 1992-1-1:2004 art.5.8.8.2(2) - Formula (5.31)

    Parameters
    ----------
    m_0ed : KNM
        [$M_{0Ed}$] First order moment, including the effect of imperfections; see also 5.8.8.2 (2) [$kNm$].
    m_2 : KNM
        [$M_{2}$] Nominal 2nd order moment; see 5.8.8.2 (3) [$kNm$].
    """
    super().__init__()
    self.m_0ed = m_0ed
    self.m_2 = m_2

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_31.Form5Dot31DesignMoment.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 5.31.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_31.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 5.31."""
    return LatexFormula(
        return_symbol=r"M_{Ed}",
        result=f"{self:.{n}f}",
        equation=r"M_{0Ed} + M_{2}",
        numeric_equation=rf"{self.m_0ed:.{n}f} + {self.m_2:.{n}f}",
        comparison_operator_label="=",
        unit="kNm",
    )