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formula_6_16

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_16

Formula 6.16 from EN 1992-1-1:2004: Chapter 6 - Ultimate limit state.

Classes:

  • Form6Dot16NominalWebWidth –

    Class representing formula 6.16 for the calculation of the nominal web width, [\(b_{w,nom}\)].

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_16.Form6Dot16NominalWebWidth 

Form6Dot16NominalWebWidth(b_w: MM, diameters: list[MM])

Bases: Formula

Class representing formula 6.16 for the calculation of the nominal web width, [\(b_{w,nom}\)].

[\(b_{w,nom}\)] Nominal web width [\(mm\)].

EN 1992-1-1:2004 art.6.2.3(6) - Formula (6.16)

Parameters:

  • b_w (MM) –

    [\(b_{w}\)] Web width [\(mm\)].

  • diameters (list[MM]) –

    [\(⌀\)] Diameters of the reinforcement bars for the most unfavourable level [\(mm\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_16.py 
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def __init__(
    self,
    b_w: MM,
    diameters: list[MM],
) -> None:
    r"""[$b_{w,nom}$] Nominal web width [$mm$].

    EN 1992-1-1:2004 art.6.2.3(6) - Formula (6.16)

    Parameters
    ----------
    b_w : MM
        [$b_{w}$] Web width [$mm$].
    diameters : list[MM]
        [$⌀$] Diameters of the reinforcement bars for the most unfavourable level [$mm$].
    """
    super().__init__()
    self.b_w = b_w
    self.diameters: list[MM] = diameters

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_16.Form6Dot16NominalWebWidth.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.16.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_16.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.16."""
    return LatexFormula(
        return_symbol=r"b_{w,nom}",
        result=f"{self:.{n}f}",
        equation=r"b_{w} - 0.5 \cdot \sum(⌀)",
        numeric_equation=rf"{self.b_w:.{n}f} - 0.5 \cdot \left({' + '.join([f'{d:.{n}f}' for d in self.diameters])} \right)",
        comparison_operator_label="=",
        unit="mm",
    )