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formula_3_7

codes.eurocode.en_1992_1_1_2004.chapter_3_materials.formula_3_7

Formula 3.7 from EN 1992-1-1:2004: Chapter 3 - Materials.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_3_materials.formula_3_7.Form3Dot7NonLinearCreepCoefficient 

Form3Dot7NonLinearCreepCoefficient(
    phi_inf_t0: DIMENSIONLESS, k_sigma: DIMENSIONLESS
)

Bases: Formula

Class representing formula 3.7 for the calculation of the non-linear creep coefficient.

[\(\varphi_{nl}(\infty,t_0)\)] The non-linear creep coefficient [\(-\)].

EN 1992-1-1:2004 art.3.1.4(4) - Formula (3.7)

Parameters:

  • phi_inf_t0 (DIMENSIONLESS) –

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

  • k_sigma (DIMENSIONLESS) –

    [\(k_{\sigma}\)] Stress-strength ratio [\(\sigma_c / f_{ck}(t_0)\)] [\(-\)].

Returns:

  • None –
Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_3_materials/formula_3_7.py 
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def __init__(
    self,
    phi_inf_t0: DIMENSIONLESS,
    k_sigma: DIMENSIONLESS,
) -> None:
    r"""[$\varphi_{nl}(\infty,t_0)$] The non-linear creep coefficient [$-$].

    EN 1992-1-1:2004 art.3.1.4(4) - Formula (3.7)

    Parameters
    ----------
    phi_inf_t0 : DIMENSIONLESS
        [$\varphi(\infty, t_0)$] Creep coefficient if high accuracy is not required use figure 3.1 and/or use appendix B [$-$].
    k_sigma : DIMENSIONLESS
        [$k_{\sigma}$] Stress-strength ratio [$\sigma_c / f_{ck}(t_0)$] [$-$].

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

codes.eurocode.en_1992_1_1_2004.chapter_3_materials.formula_3_7.Form3Dot7NonLinearCreepCoefficient.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 3.7.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_3_materials/formula_3_7.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 3.7."""
    return LatexFormula(
        return_symbol=r"\varphi_{nl}(\infty, t_0)",
        result=f"{self:.{n}f}",
        equation=r"\varphi(\infty, t_0) \cdot \exp( 1.5 ( k_{\sigma} - 0.45))",
        numeric_equation=rf"{self.phi_inf_t0:.{n}f} \cdot \exp( 1.5 ( {self.k_sigma:.{n}f} - 0.45))",
        comparison_operator_label="=",
    )