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formula_3_11

codes.eurocode.en_1992_1_1_2004.chapter_3_materials.formula_3_11

Formula 3.11 from EN 1992-1-1:2004: Chapter 3 - Materials.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_3_materials.formula_3_11.Form3Dot11AutogeneShrinkage 

Form3Dot11AutogeneShrinkage(
    beta_as_t: DIMENSIONLESS, epsilon_ca_inf: DIMENSIONLESS
)

Bases: Formula

Class representing formula 3.11, which calculates the autogene shrinkage.

[\(\epsilon_{ca}(t)\)] Autogene shrinkage [\(-\)].

EN 1992-1-1:2004 art.3.1.4(6) - Formula (3.11)

Parameters:

  • beta_as_t (DIMENSIONLESS) –

    [\(\beta_{as}(t)\)] Coefficient dependent on time in days for autogene shrinkage [\(-\)]. = 1 - exp(-0.2 * t^0.5) Use your own implementation of this formula or use the Form3Dot13CoefficientTimeAutogeneShrinkage class

  • epsilon_ca_inf (DIMENSIONLESS) –

    [\(\epsilon_{ca}(\infty)\)] Autogene shrinkage at infinity [\(-\)]. = 2.5 * (fck - 10) E-6 Use your own implementation of this formula or use the Form3Dot12AutogeneShrinkageInfinity class.

Returns:

  • None –
Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_3_materials/formula_3_11.py 
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def __init__(
    self,
    beta_as_t: DIMENSIONLESS,
    epsilon_ca_inf: DIMENSIONLESS,
) -> None:
    r"""[$\epsilon_{ca}(t)$] Autogene shrinkage [$-$].

    EN 1992-1-1:2004 art.3.1.4(6) - Formula (3.11)

    Parameters
    ----------
    beta_as_t : DIMENSIONLESS
        [$\beta_{as}(t)$] Coefficient dependent on time in days for autogene shrinkage [$-$].
        = 1 - exp(-0.2 * t^0.5)
        Use your own implementation of this formula or use the Form3Dot13CoefficientTimeAutogeneShrinkage class
    epsilon_ca_inf : DIMENSIONLESS
        [$\epsilon_{ca}(\infty)$] Autogene shrinkage at infinity [$-$].
        = 2.5 * (fck - 10) E-6
        Use your own implementation of this formula or use the Form3Dot12AutogeneShrinkageInfinity class.

    Returns
    -------
    None
    """
    super().__init__()
    self.beta_as_t = beta_as_t
    self.epsilon_ca_inf = epsilon_ca_inf

codes.eurocode.en_1992_1_1_2004.chapter_3_materials.formula_3_11.Form3Dot11AutogeneShrinkage.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 3.11.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_3_materials/formula_3_11.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 3.11."""
    return LatexFormula(
        return_symbol=r"\epsilon_{ca}(t)",
        result=f"{self:.{n}f}",
        equation=r"\beta_{as}(t) \cdot \epsilon_{ca}(\infty)",
        numeric_equation=rf"{self.beta_as_t:.{n}f} \cdot {self.epsilon_ca_inf:.{n}f}",
        comparison_operator_label="=",
    )