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formula_5_19

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_19

Formula 5.19 from EN 1992-1-1:2004: Chapter 5 - Structural Analysis.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_19.Form5Dot19EffectiveCreepCoefficient

Form5Dot19EffectiveCreepCoefficient(
    phi_inf_t0: DIMENSIONLESS, m0_eqp: KNM, m0_ed: KNM
)

Bases: Formula

Class representing formula 5.19 for the calculation of the effective creep coefficient, ϕef.

[\(\phi_{ef}\)] Effective creep coefficient.

EN 1992-1-1:2004 art.5.8.4(2) - Formula (5.19)

Parameters:

  • phi_inf_t0 (DIMENSIONLESS) –

    [\(\phi (\infty,t_0)\)] is the final value of the creep coefficient according to art. 3.1.4.

  • m0_eqp (KNM) –

    [\(M_{0,Eqp}\)] is the first-order bending moment in the quasi-permanent load combination (SLS).

  • m0_ed (KNM) –

    [\(M_{0,Ed}\)] is the first-order bending moment in the ultimate limit state (ULS).

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_19.py
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def __init__(self, phi_inf_t0: DIMENSIONLESS, m0_eqp: KNM, m0_ed: KNM) -> None:
    r"""[$\phi_{ef}$] Effective creep coefficient.

    EN 1992-1-1:2004 art.5.8.4(2) - Formula (5.19)

    Parameters
    ----------
    phi_inf_t0 : DIMENSIONLESS
        [$\phi (\infty,t_0)$] is the final value of the creep coefficient according to art. 3.1.4.
    m0_eqp : KNM
        [$M_{0,Eqp}$] is the first-order bending moment in the quasi-permanent load combination (SLS).
    m0_ed : KNM
        [$M_{0,Ed}$] is the first-order bending moment in the ultimate limit state (ULS).
    """
    super().__init__()
    self.phi_inf_t0 = phi_inf_t0
    self.m0_eqp = m0_eqp
    self.m0_ed = m0_ed

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_19.Form5Dot19EffectiveCreepCoefficient.latex

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 5.19.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_19.py
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 5.19."""
    return LatexFormula(
        return_symbol=r"\phi_{ef}",
        result=f"{self:.{n}f}",
        equation=r"\phi (\infty,t_0) \cdot \frac{M_{0,Eqp}}{M_{0,Ed}}",
        numeric_equation=rf"{self.phi_inf_t0} \cdot \frac{{{self.m0_eqp}}}{{{self.m0_ed}}}",
        comparison_operator_label="=",
    )