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formula_6_44

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_44

Formula 6.44 from EN 1992-1-1:2004: Chapter 6 - Ultimate Limit State.

Classes:

  • Form6Dot44BetaRectangular –

    Class representing formula 6.44 for the calculation of [\(\beta\)] for rectangular columns where there are

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_44.Form6Dot44BetaRectangular 

Form6Dot44BetaRectangular(
    u1: MM, u1_star: MM, k: DIMENSIONLESS, w_1: NMM, e_par: MM
)

Bases: Formula

Class representing formula 6.44 for the calculation of [\(\beta\)] for rectangular columns where there are eccentricities in both orthogonal directions.

[\(\beta\)] Calculation of [\(\beta\)] where there are eccentricities in both orthogonal directions.

EN 1992-1-1:2004 art.6.4.3(3) - Formula (6.44)

Parameters:

  • u1 (MM) –

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

  • u1_star (MM) –

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

  • k (DIMENSIONLESS) –

    [\(k\)] Factor determined from Table 6.1 with the ratio c1/2c2 [\(-\)].

  • w_1 (NMM) –

    [\(W_1\)] Calculated for the basic control perimeter [\(Nmm\)].

  • e_par (MM) –

    [\(e_{par}\)] Eccentricity parallel to the slab edge [\(mm\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_44.py 
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def __init__(
    self,
    u1: MM,
    u1_star: MM,
    k: DIMENSIONLESS,
    w_1: NMM,
    e_par: MM,
) -> None:
    r"""[$\beta$] Calculation of [$\beta$] where there are eccentricities in both orthogonal directions.

    EN 1992-1-1:2004 art.6.4.3(3) - Formula (6.44)

    Parameters
    ----------
    u1 : MM
        [$u_1$] Basic control perimeter [$mm$].
    u1_star : MM
        [$u_{1^*}$] Reduced basic control perimeter [$mm$].
    k : DIMENSIONLESS
        [$k$] Factor determined from Table 6.1 with the ratio c1/2c2 [$-$].
    w_1 : NMM
        [$W_1$] Calculated for the basic control perimeter [$Nmm$].
    e_par : MM
        [$e_{par}$] Eccentricity parallel to the slab edge [$mm$].
    """
    super().__init__()
    self.u1 = u1
    self.u1_star = u1_star
    self.k = k
    self.w_1 = w_1
    self.e_par = e_par

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_44.Form6Dot44BetaRectangular.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.44.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_44.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.44."""
    _equation: str = r"\frac{u_1}{u_{1^*}} + k \cdot \frac{u_1}{W_1} \cdot e_{par}"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"u_1": f"{self.u1:.{n}f}",
            r"u_{1^*}": f"{self.u1_star:.{n}f}",
            r"k": f"{self.k:.{n}f}",
            r"W_1": f"{self.w_1:.{n}f}",
            r"e_{par}": f"{self.e_par:.{n}f}",
        },
        False,
    )
    return LatexFormula(
        return_symbol=r"\beta",
        result=f"{self._evaluate(self.u1, self.u1_star, self.k, self.w_1, self.e_par):.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="=",
        unit="-",
    )