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formula_5_32

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_32

Formula 5.32 from EN 1992-1-1:2004: Chapter 5 - Structural Analysis.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_32.Form5Dot32EquivalentFirstOrderEndMoment 

Form5Dot32EquivalentFirstOrderEndMoment(m_01: KNM, m_02: KNM)

Bases: Formula

Class representing formula 5.32 for the calculation of the equivalent first order end moment, [\(M_{0e}\)].

[\(M_{0e}\)] Equivalent first order end moment [\(kNm\)].

EN 1992-1-1:2004 art.5.8.8.2(2) - Formula (5.32)

Parameters:

  • m_01 (KNM) –

    [\(M_{01}\)] The smaller first order end moment [\(kNm\)].

  • m_02 (KNM) –

    [\(M_{02}\)] The larger first order end moment [\(kNm\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_32.py 
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def __init__(
    self,
    m_01: KNM,
    m_02: KNM,
) -> None:
    r"""[$M_{0e}$] Equivalent first order end moment [$kNm$].

    EN 1992-1-1:2004 art.5.8.8.2(2) - Formula (5.32)

    Parameters
    ----------
    m_01 : KNM
        [$M_{01}$] The smaller first order end moment [$kNm$].
    m_02 : KNM
        [$M_{02}$] The larger first order end moment [$kNm$].
    """
    super().__init__()
    self.m_01 = m_01
    self.m_02 = m_02

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_32.Form5Dot32EquivalentFirstOrderEndMoment.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 5.32.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_32.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 5.32."""
    return LatexFormula(
        return_symbol=r"M_{0e}",
        result=f"{self:.{n}f}",
        equation=r"\max\left(0.6 \cdot M_{02} + 0.4 \cdot M_{01}; 0.4 \cdot M_{02}\right)",
        numeric_equation=rf"\max\left(0.6 \cdot {self.m_02:.{n}f} + 0.4 \cdot {self.m_01:.{n}f}; 0.4 \cdot {self.m_02:.{n}f}\right)",
        comparison_operator_label="=",
        unit="kNm",
    )