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formula_6_42

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_42

Formula 6.42 from EN 1992-1-1:2004: Chapter 6 - Ultimate Limit State.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_42.Form6Dot42BetaCircular 

Form6Dot42BetaCircular(d: MM, diameter: MM, e: MM)

Bases: Formula

Class representing formula 6.42 for the calculation of [\(\beta\)].

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

EN 1992-1-1:2004 art.6.4.3(3) - Formula (6.42)

Parameters:

  • d (MM) –

    [\(d\)] Effective depth of the slab [\(mm\)].

  • diameter (MM) –

    [\(D\)] Diameter of the circular column [\(mm\)].

  • e (MM) –

    [\(e\)] Distance from the axis about which the moment [\(M_{Ed}\)] acts [\(mm\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_42.py 
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def __init__(
    self,
    d: MM,
    diameter: MM,
    e: MM,
) -> None:
    r"""[$\beta$] Calculation of [$\beta$].

    EN 1992-1-1:2004 art.6.4.3(3) - Formula (6.42)

    Parameters
    ----------
    d : MM
        [$d$] Effective depth of the slab [$mm$].
    diameter : MM
        [$D$] Diameter of the circular column [$mm$].
    e : MM
        [$e$] Distance from the axis about which the moment [$M_{Ed}$] acts [$mm$].
    """
    super().__init__()
    self.d = d
    self.diameter = diameter
    self.e = e

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_42.Form6Dot42BetaCircular.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.42.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_42.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.42."""
    _equation: str = r"1 + 0.6 \cdot \pi \cdot \frac{e}{D + 4 \cdot d}"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r" d": f" {self.d:.{n}f}",
            r"D": f"{self.diameter:.{n}f}",
            r"e": f"{self.e:.{n}f}",
        },
        True,
    )
    return LatexFormula(
        return_symbol=r"\beta",
        result=f"{self:.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="=",
        unit="-",
    )