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formula_5_24

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_24

Formula 5.24 from EN 1992-1-1:2004: Chapter 5 - Structural Analysis.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_24.Form5Dot24AxialForceCorrectionFactor 

Form5Dot24AxialForceCorrectionFactor(
    n: DIMENSIONLESS, lambda_factor: DIMENSIONLESS
)

Bases: Formula

Class representing formula 5.24 for the calculation of the axial force correction factor [\(k_{2}\)].

[\(k_{2}\)] Axial force correction factor.

EN 1992-1-1:2004 art.5.8.3 - Formula (5.24)

Parameters:

  • n (DIMENSIONLESS) –

    [\(n\)] Relative axial force, [\(N_{ed} / (A_{c} * f_{cd})\)] [\(-\)].

  • lambda_factor (DIMENSIONLESS) –

    [\(λ\)] Slenderness ratio, see 5.8.3 [\(-\)].

Notes

The value of [\(k_{2}\)] cannot be larger than 0.20.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_24.py 
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def __init__(
    self,
    n: DIMENSIONLESS,
    lambda_factor: DIMENSIONLESS,
) -> None:
    r"""[$k_{2}$] Axial force correction factor.

    EN 1992-1-1:2004 art.5.8.3 - Formula (5.24)

    Parameters
    ----------
    n : DIMENSIONLESS
        [$n$] Relative axial force, [$N_{ed} / (A_{c} * f_{cd})$] [$-$].
    lambda_factor : DIMENSIONLESS
        [$λ$] Slenderness ratio, see 5.8.3 [$-$].

    Notes
    -----
    The value of [$k_{2}$] cannot be larger than 0.20.
    """
    super().__init__()
    self.n = n
    self.lambda_factor = lambda_factor

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_24.Form5Dot24AxialForceCorrectionFactor.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 5.24.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_24.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 5.24."""
    return LatexFormula(
        return_symbol=r"k_2",
        result=f"{self:.{n}f}",
        equation=r"\min(0.20; n \cdot \frac{λ}{170})",
        numeric_equation=rf"\min(0.20; {self.n:.{n}f} \cdot \frac{{{self.lambda_factor:.{n}f}}}{{170}})",
        comparison_operator_label="=",
    )