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formula_5_38a

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_38a

Formula 5.38a from EN 1992-1-1:2004: Chapter 5 - Structural Analysis.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_38a.Form5Dot38aCheckRelativeSlendernessRatio 

Form5Dot38aCheckRelativeSlendernessRatio(
    lambda_y: DIMENSIONLESS, lambda_z: DIMENSIONLESS
)

Bases: Formula

Class representing formula 5.38a for check of relative slenderness ratio.

Check the ratio of the slenderness in y-direction and z-direction.

EN 1992-1-1:2004 art.5.8.9(3) - Formula (5.38a)

Parameters:

  • lambda_y (DIMENSIONLESS) –

    [\(\lambda_{y}\)] Slenderness ratio in y-direction [-].

  • lambda_z (DIMENSIONLESS) –

    [\(\lambda_{z}\)] Slenderness ratio in z-direction [-].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_38a.py 
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def __init__(
    self,
    lambda_y: DIMENSIONLESS,
    lambda_z: DIMENSIONLESS,
) -> None:
    r"""Check the ratio of the slenderness in y-direction and z-direction.

    EN 1992-1-1:2004 art.5.8.9(3) - Formula (5.38a)

    Parameters
    ----------
    lambda_y : DIMENSIONLESS
        [$\lambda_{y}$] Slenderness ratio in y-direction [-].
    lambda_z : DIMENSIONLESS
        [$\lambda_{z}$] Slenderness ratio in z-direction [-].
    """
    super().__init__()
    self.lambda_y = lambda_y
    self.lambda_z = lambda_z

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_38a.Form5Dot38aCheckRelativeSlendernessRatio.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 5.38a.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_38a.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 5.38a."""
    return LatexFormula(
        return_symbol=r"CHECK",
        result="OK" if self.__bool__() else "\\text{Not OK}",
        equation=r"\left( \frac{\lambda_{y}}{\lambda_{z}} \leq 2 \text{ and } \frac{\lambda_{z}}{\lambda_{y}} \leq 2 \right)",
        numeric_equation=rf"\left( \frac{{{self.lambda_y:.{n}f}}}{{{self.lambda_z:.{n}f}}} \leq 2 \text{{ and }} "
        rf"\frac{{{self.lambda_z:.{n}f}}}{{{self.lambda_y:.{n}f}}} \leq 2 \right)",
        comparison_operator_label="\\to",
        unit="",
    )