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formula_3_6

codes.eurocode.en_1992_1_1_2004.chapter_3_materials.formula_3_6

Formula 3.6 from EN 1992-1-1:2004: Chapter 3 - Materials.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_3_materials.formula_3_6.Form3Dot6CreepDeformationOfConcrete 

Form3Dot6CreepDeformationOfConcrete(
    phi_inf_t0: DIMENSIONLESS, sigma_c: MPA, e_c: MPA
)

Bases: Formula

Class representing formula 3.6 for the calculation of creep deformation of concrete.

εcc(∞,t0) Creep deformation of concrete at the time t = ∞ for a constant concrete compressive stress [\(\sigma_c\)] applied at time [\(t_0\)] [\(-\)].

EN 1992-1-1:2004 art.3.1.4(3) - Formula (3.6)

Parameters:

  • phi_inf_t0 (DIMENSIONLESS) –

    [\(\varphi(\infty, t_0)\)] Creep coefficient if high accuracy is not required use figure 3.1 else use appendix B [\(-\)].

  • sigma_c (MPA) –

    [\(\sigma_c\)] Concrete compressive stress [\(MPa\)].

  • e_c (MPA) –

    [\(E_c\)] tangent modulus = 1.05 * [\(E_{cm}\)]. According to art.3.1.4(2) [\(MPa\)].

Returns:

  • None –
Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_3_materials/formula_3_6.py 
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def __init__(
    self,
    phi_inf_t0: DIMENSIONLESS,
    sigma_c: MPA,
    e_c: MPA,
) -> None:
    r"""εcc(∞,t0) Creep deformation of concrete at the time t = ∞ for a constant concrete
    compressive stress [$\sigma_c$] applied at time [$t_0$] [$-$].

    EN 1992-1-1:2004 art.3.1.4(3) - Formula (3.6)

    Parameters
    ----------
    phi_inf_t0 : DIMENSIONLESS
        [$\varphi(\infty, t_0)$] Creep coefficient if high accuracy is not required use figure 3.1 else use appendix B [$-$].
    sigma_c : MPA
        [$\sigma_c$] Concrete compressive stress [$MPa$].
    e_c : MPA
        [$E_c$] tangent modulus = 1.05 * [$E_{cm}$]. According to art.3.1.4(2) [$MPa$].

    Returns
    -------
    None
    """
    super().__init__()
    self.phi_inf_t0 = phi_inf_t0
    self.sigma_c = sigma_c
    self.e_c = e_c

codes.eurocode.en_1992_1_1_2004.chapter_3_materials.formula_3_6.Form3Dot6CreepDeformationOfConcrete.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 3.6.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_3_materials/formula_3_6.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 3.6."""
    return LatexFormula(
        return_symbol=r"\epsilon_{cc}(\infty, t_0)",
        result=f"{self:.{n}f}",
        equation=r"\varphi(\infty, t_0) \cdot ( \sigma_c / E_c )",
        numeric_equation=rf"{self.phi_inf_t0:.{n}f} \cdot ( {self.sigma_c:.{n}f} / {self.e_c:.{n}f} )",
        comparison_operator_label="=",
    )