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formula_5_7

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_7

Formula 5.7 from EN 1992-1-1:2004: Chapter 5 - Structural Analysis.

Classes:

  • Form5Dot7EffectiveFlangeWidth –

    Class representing formula 5.7 for the calculation of effective flange width [\(b_{eff}\)] for a T beam or L beam.

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_7.Form5Dot7EffectiveFlangeWidth 

Form5Dot7EffectiveFlangeWidth(*b_eff_i: M, b_w: M, b: M)

Bases: Formula

Class representing formula 5.7 for the calculation of effective flange width [\(b_{eff}\)] for a T beam or L beam. See Figure 5.3.

[\(b_{eff}\)] Effective flange width for a T beam or L beam [\(m\)].

EN 1992-1-1:2004 art.5.3.2.1(3) - Formula (5.7)

Parameters:

  • b_eff_i (M, default: () ) –

    [\(b_{eff,i}\)] Effective flange width of the i-th flange [\(m\)].

  • b_w (M) –

    [\(b_{w}\)] Width of the web [\(m\)].

  • b (M) –

    [\(b\)] Total width of the flange [\(m\)].

Notes

where [\(b_{eff,i}\)] is the effective flange width of the i-th flange

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_7.py 
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def __init__(
    self,
    *b_eff_i: M,
    b_w: M,
    b: M,
) -> None:
    r"""[$b_{eff}$] Effective flange width for a T beam or L beam [$m$].

    EN 1992-1-1:2004 art.5.3.2.1(3) - Formula (5.7)

    Parameters
    ----------
    b_eff_i : M
        [$b_{eff,i}$] Effective flange width of the i-th flange [$m$].
    b_w : M
        [$b_{w}$] Width of the web [$m$].
    b : M
        [$b$] Total width of the flange [$m$].

    Notes
    -----
    where [$b_{eff,i}$] is the effective flange width of the i-th flange
    """
    super().__init__()
    self.b_eff_i: tuple[M, ...] = b_eff_i
    self.b_w = b_w
    self.b = b

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_7.Form5Dot7EffectiveFlangeWidth.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 5.7.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_7.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 5.7."""
    return LatexFormula(
        return_symbol=r"b_{eff}",
        result=f"{self:.{n}f}",
        equation=r"\sum b_{eff,i}+b_w\le b",
        numeric_equation=rf"\sum ({'+'.join(str(b_eff) for b_eff in self.b_eff_i)})+{self.b_w}\le {self.b}",
        comparison_operator_label="=",
    )