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formula_6_46

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_46

Formula 6.46 from EN 1992-1-1:2004: Chapter 6 - Ultimate Limit State.

Classes:

  • Form6Dot46BetaCorner –

    Class representing formula 6.46 for the calculation of [\(\beta\)] for corner column connections.

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_46.Form6Dot46BetaCorner 

Form6Dot46BetaCorner(u1: MM, u1_star: MM)

Bases: Formula

Class representing formula 6.46 for the calculation of [\(\beta\)] for corner column connections.

[\(\beta\)] Calculation of [\(\beta\)].

EN 1992-1-1:2004 art.6.4.3(3) - Formula (6.46)

Parameters:

  • u1 (MM) –

    [\(u_1\)] Basic control perimeter [\(mm\)].

  • u1_star (MM) –

    [\(u_{1^*}\)] Reduced basic control perimeter [\(mm\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_46.py 
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def __init__(
    self,
    u1: MM,
    u1_star: MM,
) -> None:
    r"""[$\beta$] Calculation of [$\beta$].

    EN 1992-1-1:2004 art.6.4.3(3) - Formula (6.46)

    Parameters
    ----------
    u1 : MM
        [$u_1$] Basic control perimeter [$mm$].
    u1_star : MM
        [$u_{1^*}$] Reduced basic control perimeter [$mm$].
    """
    super().__init__()
    self.u1 = u1
    self.u1_star = u1_star

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_46.Form6Dot46BetaCorner.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.46.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_46.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.46."""
    _equation: str = r"\frac{u_1}{u_{1^*}}"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"u_1": f"{self.u1:.{n}f}",
            r"u_{1^*}": f"{self.u1_star:.{n}f}",
        },
        True,
    )
    return LatexFormula(
        return_symbol=r"\beta",
        result=f"{self._evaluate(self.u1, self.u1_star):.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="=",
        unit="-",
    )