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formula_6_22

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_22

Formula 6.22 from EN 1993-1-1:2005: Chapter 6 - Ultimate Limit State.

Classes:

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_22.Form6Dot22CheckShearBucklingResistance 

Form6Dot22CheckShearBucklingResistance(
    h_w: MM, t_w: MM, epsilon: DIMENSIONLESS, eta: DIMENSIONLESS = 1.0
)

Bases: Formula

Class representing formula 6.22 for checking shear buckling resistance for webs without intermediate stiffeners.

Check the shear buckling resistance for webs without intermediate stiffeners.

EN 1993-1-1:2005 art.6.2.6(6) - Formula (6.22)

Parameters:

  • h_w (MM) –

    [\(h_{w}\)] Web height [mm].

  • t_w (MM) –

    [\(t_{w}\)] Web thickness [mm].

  • epsilon (DIMENSIONLESS) –

    [\(\epsilon\)] Coefficient depending on \(f_y\) [-].

  • eta (DIMENSIONLESS, default: 1.0 ) –

    [\(\eta\)] See section 5 of EN 1993-1-5, conservatively taken as 1.0 [-].

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_22.py 
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def __init__(
    self,
    h_w: MM,
    t_w: MM,
    epsilon: DIMENSIONLESS,
    eta: DIMENSIONLESS = 1.0,
) -> None:
    r"""Check the shear buckling resistance for webs without intermediate stiffeners.

    EN 1993-1-1:2005 art.6.2.6(6) - Formula (6.22)

    Parameters
    ----------
    h_w : MM
        [$h_{w}$] Web height [mm].
    t_w : MM
        [$t_{w}$] Web thickness [mm].
    epsilon : DIMENSIONLESS
        [$\epsilon$] Coefficient depending on $f_y$ [-].
    eta : DIMENSIONLESS, optional
        [$\eta$] See section 5 of EN 1993-1-5, conservatively taken as 1.0 [-].
    """
    super().__init__()
    self.h_w = h_w
    self.t_w = t_w
    self.epsilon = epsilon
    self.eta = eta

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_22.Form6Dot22CheckShearBucklingResistance.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.22.

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_22.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.22."""
    _equation: str = r"\left( \frac{h_w}{t_w} > 72 \cdot \frac{\epsilon}{\eta} \right)"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"h_w": f"{self.h_w:.{n}f}",
            r"t_w": f"{self.t_w:.{n}f}",
            r"\epsilon": f"{self.epsilon:.{n}f}",
            r"\eta": f"{self.eta:.{n}f}",
        },
        False,
    )
    return LatexFormula(
        return_symbol=r"CHECK",
        result="OK" if self.__bool__() else "\\text{Not OK}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="\\to",
        unit="",
    )