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formula_6_65

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_65

Formula 6.65 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_65.Form6Dot65ConcreteCompressionStrut 

Form6Dot65ConcreteCompressionStrut(theta: DEG)

Bases: Formula

Class representing formula 6.65 for the calculation of [\(\theta_{fat}\)].

[\(\theta_{fat}\)] Calculation of concrete compression struts angle for fatigue.

EN 1992-1-1:2004 art.6.8.2(2) - Formula (6.65)

Parameters:

  • theta (DEG) –

    [\(\theta\)] Angle of concrete compression struts to the beam axis assumed in ULS design [\(degrees\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_65.py 
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def __init__(
    self,
    theta: DEG,
) -> None:
    r"""[$\theta_{fat}$] Calculation of concrete compression struts angle for fatigue.

    EN 1992-1-1:2004 art.6.8.2(2) - Formula (6.65)

    Parameters
    ----------
    theta : DEG
        [$\theta$] Angle of concrete compression struts to the beam axis assumed in ULS design [$degrees$].
    """
    super().__init__()
    self.theta = theta

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_65.Form6Dot65ConcreteCompressionStrut.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.65.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_65.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.65."""
    _equation: str = r"\tan^{-1}\left(\min\left(\sqrt{\tan(\theta)}, 1\right)\right)"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"\theta": f"{self.theta:.{n}f}",
        },
        False,
    )
    return LatexFormula(
        return_symbol=r"\theta_{fat}",
        result=f"{self:.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="=",
        unit="degrees",
    )