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formula_5_11n

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_11n

Formula 5.11N from EN 1992-1-1:2004: Chapter 5 Structural Analysis.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_11n.Form5Dot11nShearSlendernessCorrectionFactor

Form5Dot11nShearSlendernessCorrectionFactor(lambda_factor: DIMENSIONLESS)

Bases: Formula

Class representing formula 5.11N for the calculation of the shear slenderness correction factor [\(k_{λ}\)].

[\(k_{λ}\)] Shear slenderness correction factor.

EN 1992-1-1:2004 art.5.6.3(4) - Formula (5.11N)

Parameters:

  • lambda_factor (DIMENSIONLESS) –

    [\(λ\)] ratio of the distance between point of zero and maximum moment after redistribution and effective depth, d [\(-\)]

    Use your own implementation for this value or use :class:Form5Dot12nRatioDistancePointZeroAndMaxMoment.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_11n.py
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def __init__(
    self,
    lambda_factor: DIMENSIONLESS,
) -> None:
    r"""[$k_{λ}$] Shear slenderness correction factor.

    EN 1992-1-1:2004 art.5.6.3(4) - Formula (5.11N)

    Parameters
    ----------
    lambda_factor : DIMENSIONLESS
        [$λ$] ratio of the distance between point of zero and maximum moment after redistribution and
        effective depth, d [$-$]

        Use your own implementation for this value or use :class:`Form5Dot12nRatioDistancePointZeroAndMaxMoment`.
    """
    super().__init__()
    self.lambda_factor = lambda_factor

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_11n.Form5Dot11nShearSlendernessCorrectionFactor.latex

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 5.11N.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_11n.py
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 5.11N."""
    return LatexFormula(
        return_symbol=r"k_{λ}",
        result=f"{self:.{n}f}",
        equation=r"\sqrt{\frac{λ}{3}}",
        numeric_equation=rf"\sqrt{latex_fraction(numerator=self.lambda_factor, denominator=3)}",
        comparison_operator_label="=",
    )