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formula_5_37

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_37

Formula 5.37 from EN 1992-1-1:2004: Chapter 5 - Structural Analysis.

Classes:

  • Form5Dot37CreepFactor

    Class representing formula 5.37 for the calculation of the creep factor, [\(K_{\phi}\)].

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_37.Form5Dot37CreepFactor

Form5Dot37CreepFactor(f_ck: MPA, lambda_: DIMENSIONLESS, phi_ef: DIMENSIONLESS)

Bases: Formula

Class representing formula 5.37 for the calculation of the creep factor, [\(K_{\phi}\)].

[\(K_{\phi}\)] Creep factor [\(-\)].

EN 1992-1-1:2004 art.5.8.8.3(4) - Formula (5.37)

Parameters:

  • f_ck (MPA) –

    [\(f_{ck}\)] Characteristic compressive strength of concrete [\(MPa\)].

  • lambda_ (DIMENSIONLESS) –

    [\(\lambda\)] Slenderness ratio, see 5.8.3.1 [-].

  • phi_ef (DIMENSIONLESS) –

    [\(\phi_{ef}\)] Effective creep ratio, see 5.8.4 [-].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_37.py
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def __init__(
    self,
    f_ck: MPA,
    lambda_: DIMENSIONLESS,
    phi_ef: DIMENSIONLESS,
) -> None:
    r"""[$K_{\phi}$] Creep factor [$-$].

    EN 1992-1-1:2004 art.5.8.8.3(4) - Formula (5.37)

    Parameters
    ----------
    f_ck : MPA
        [$f_{ck}$] Characteristic compressive strength of concrete [$MPa$].
    lambda_ : DIMENSIONLESS
        [$\lambda$] Slenderness ratio, see 5.8.3.1 [-].
    phi_ef : DIMENSIONLESS
        [$\phi_{ef}$] Effective creep ratio, see 5.8.4 [-].
    """
    super().__init__()
    self.f_ck = f_ck
    self.lambda_ = lambda_
    self.phi_ef = phi_ef

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_37.Form5Dot37CreepFactor.latex

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 5.37.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_37.py
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 5.37."""
    return LatexFormula(
        return_symbol=r"K_{\phi}",
        result=f"{self:.{n}f}",
        equation=r"\max\left(1 + \left(0.35 + \frac{f_{ck}}{200} - \frac{\lambda}{150}\right) \cdot \phi_{ef}; 1\right)",
        numeric_equation=rf"\max\left(1 + \left(0.35 + \frac{{{self.f_ck:.{n}f}}}{{200}} - \frac{{{self.lambda_:.{n}f}}}{{150}}\right) "
        rf"\cdot {self.phi_ef:.{n}f}; 1\right)",
        comparison_operator_label="=",
        unit="-",
    )