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formula_8_27

codes.eurocode.en_1993_1_1_2022.chapter_8_ultimate_limit_state.formula_8_27

Formula 8.27 from EN 1993-1-1:2022: Chapter 8 - Ultimate Limit State.

Classes:

codes.eurocode.en_1993_1_1_2022.chapter_8_ultimate_limit_state.formula_8_27.Form8Dot27CheckShearBucklingResistance 

Form8Dot27CheckShearBucklingResistance(
    h_w: MM, t_w: MM, epsilon: DIMENSIONLESS, eta: DIMENSIONLESS = 1.0
)

Bases: ComparisonFormula

Class representing formula 8.27 for checking shear buckling resistance for webs without intermediate stiffeners.

Check the shear buckling resistance for webs without intermediate stiffeners.

EN 1993-1-1:2022 art.8.2.6(6) - Formula (8.27)

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_2022/chapter_8_ultimate_limit_state/formula_8_27.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 1993-1-1:2022 art.8.2.6(6) - Formula (8.27)

    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_2022.chapter_8_ultimate_limit_state.formula_8_27.Form8Dot27CheckShearBucklingResistance.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 8.27.

Source code in blueprints/codes/eurocode/en_1993_1_1_2022/chapter_8_ultimate_limit_state/formula_8_27.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 8.27."""
    _equation: str = r"\frac{h_w}{t_w} > 72 \cdot \frac{\epsilon}{\eta}"
    _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,
    )
    _numeric_equation_with_units: str = latex_replace_symbols(
        _equation,
        {
            r"h_w": rf"{self.h_w:.{n}f} \ mm",
            r"t_w": rf"{self.t_w:.{n}f} \ mm",
            r"\epsilon": f"{self.epsilon:.{n}f}",
            r"\eta": f"{self.eta:.{n}f}",
        },
        False,
    )
    _intermediate_result: str = rf"\left( {self.lhs:.{n}f} > {self.rhs:.{n}f} \right)"
    return LatexFormula(
        return_symbol=r"CHECK",
        result="OK" if bool(self) else r"\text{Not OK}",
        intermediate_result=_intermediate_result,
        equation=_equation,
        numeric_equation=_numeric_equation,
        numeric_equation_with_units=_numeric_equation_with_units,
        comparison_operator_label=r"\to",
        unit="",
    )