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formula_6_58_59

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_58_59

Formula 6.58 and 6.59 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_58_59.Form6Dot58And59TensileForce 

Form6Dot58And59TensileForce(f: N, a: MM, b: MM, capital_h: MM)

Bases: Formula

Class representing formula 6.58 and 6.59 for the calculation of the tensile force [\(T\)].

[\(T\)] Tensile force [\(N\)].

EN 1992-1-1:2004 art.6.5.3(3) - Formula (6.58 and 6.59)

Parameters:

  • f (N) –

    [\(F\)] Applied force [\(N\)].

  • a (MM) –

    [\(a\)] Width of the concentrated force [\(mm\)].

  • b (MM) –

    [\(b\)] Width of the locally widened section [\(mm\)].

  • capital_h (MM) –

    [\(H\)] Height of the widened section. Also used to calculate h: \(h=H/2\) [\(mm\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_58_59.py 
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def __init__(
    self,
    f: N,
    a: MM,
    b: MM,
    capital_h: MM,
) -> None:
    r"""[$T$] Tensile force [$N$].

    EN 1992-1-1:2004 art.6.5.3(3) - Formula (6.58 and 6.59)

    Parameters
    ----------
    f : N
        [$F$] Applied force [$N$].
    a : MM
        [$a$] Width of the concentrated force [$mm$].
    b : MM
        [$b$] Width of the locally widened section [$mm$].
    capital_h : MM
        [$H$] Height of the widened section. Also used to calculate h: $h=H/2$ [$mm$].
    """
    super().__init__()
    self.f = f
    self.a = a
    self.b = b
    self.capital_h = capital_h

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_58_59.Form6Dot58And59TensileForce.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.58/6.59.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_58_59.py 
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def latex(self, n: int = 3) -> LatexFormula:
    r"""Returns LatexFormula object for formula 6.58/6.59."""
    _equation: str = (
        r"\begin{cases} \frac{1}{4} \cdot \frac{ b - a}{ b} \cdot F & \text{if } b \leq "
        r"\frac{H}{2} \\ \frac{1}{4} \cdot \left(1 - 0.7 \cdot \frac{ a}{\frac{H}{2}}\right) "
        r"\cdot F & \text{if } b > \frac{H}{2} \end{cases}"
    )
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            "F": f"{self.f:.{n}f}",
            " a": f" {self.a:.{n}f}",
            " b": f" {self.b:.{n}f}",
            "H": f"{self.capital_h:.{n}f}",
        },
        False,
    )
    return LatexFormula(
        return_symbol=r"T",
        result=f"{self:.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="=",
        unit="N",
    )