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formula_6_34_35

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_34_35

Formula 6.34 and 6.35 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_34_35.Form6Dot34And35ContourRadiusRectangular 

Form6Dot34And35ContourRadiusRectangular(
    d: MM, c_1: MM, c_2: MM, l_h1: MM, l_h2: MM
)

Bases: Formula

Class representing formulas 6.34 and 6.35 for the calculation of the contour radius for rectangular columns with a rectangular head where \(l_H < 2.0 h_H\).

[\(r_{cont}\)] Contour radius [\(mm\)].

EN 1992-1-1:2004 art.6.4.3(8) - Formula (6.34 and 6.35)

Parameters:

  • d (MM) –

    [\(d\)] Effective depth [\(mm\)].

  • c_1 (MM) –

    [\(c_{1}\)] Column size in one direction [\(mm\)].

  • c_2 (MM) –

    [\(c_{2}\)] Column size in the perpendicular direction [\(mm\)].

  • l_h1 (MM) –

    [\(l_{H1}\)] Head size in one direction [\(mm\)].

  • l_h2 (MM) –

    [\(l_{H2}\)] Head size in the perpendicular direction [\(mm\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_34_35.py 
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def __init__(
    self,
    d: MM,
    c_1: MM,
    c_2: MM,
    l_h1: MM,
    l_h2: MM,
) -> None:
    r"""[$r_{cont}$] Contour radius [$mm$].

    EN 1992-1-1:2004 art.6.4.3(8) - Formula (6.34 and 6.35)

    Parameters
    ----------
    d : MM
        [$d$] Effective depth [$mm$].
    c_1 : MM
        [$c_{1}$] Column size in one direction [$mm$].
    c_2 : MM
        [$c_{2}$] Column size in the perpendicular direction [$mm$].
    l_h1 : MM
        [$l_{H1}$] Head size in one direction [$mm$].
    l_h2 : MM
        [$l_{H2}$] Head size in the perpendicular direction [$mm$].
    """
    super().__init__()
    self.d = d

    self.l_1 = c_1 + 2 * l_h1
    self.l_2 = c_2 + 2 * l_h2

    self.c_1, self.c_2 = (c_2, c_1) if self.l_1 > self.l_2 else (c_1, c_2)
    self.l_h1, self.l_h2 = (l_h2, l_h1) if self.l_1 > self.l_2 else (l_h1, l_h2)

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_34_35.Form6Dot34And35ContourRadiusRectangular.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formulas 6.34 and 6.35.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_34_35.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formulas 6.34 and 6.35."""
    return LatexFormula(
        return_symbol=r"r_{cont}",
        result=f"{self:.{n}f}",
        equation=r"min\left(2 \cdot d + 0.56 \cdot \sqrt{(c_1 + 2 \cdot l_{H1}) \cdot (c_2 + 2 \cdot l_{H2})}, "
        r"2 \cdot d + 0.69 \cdot (c_1 + 2 \cdot l_{H1})\right)",
        numeric_equation=rf"min\left(2 \cdot {self.d:.{n}f} + 0.56 \cdot \sqrt{{({self.c_1:.{n}f} + 2 \cdot {self.l_h1:.{n}f}) \cdot "
        rf"({self.c_2:.{n}f} + 2 \cdot {self.l_h2:.{n}f})}}, 2 \cdot {self.d:.{n}f} + 0.69 \cdot ({self.c_1:.{n}f} + 2 \cdot {self.l_h1:.{n}f})\right)",  # noqa: E501
        comparison_operator_label="=",
        unit="mm",
    )