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formula_3_5

codes.eurocode.en_1992_1_1_2004.chapter_3_materials.formula_3_5

Formula 3.5 from EN 1992-1-1:2004: Chapter 3 - Materials.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_3_materials.formula_3_5.Form3Dot5ApproximationVarianceElasticModulusOverTime 

Form3Dot5ApproximationVarianceElasticModulusOverTime(
    f_cm_t: MPA, f_cm: MPA, e_cm: MPA
)

Bases: Formula

Class representing formula 3.5 for the approximation of the elastic modulus, Ecm(t) at day t.

[\(E_{cm}(t)\)] The approximated elastic modulus at day t [\(MPa\)].

EN 1992-1-1:2004 art.3.1.3(3) - Formula (3.5)

Parameters:

  • f_cm_t (MPA) –

    [\(f_{cm}(t)\)] Compressive strength concrete at t days [\(MPa\)].

  • f_cm (MPA) –

    [\(f_{cm}\)] Average concrete compressive strength on day 28 based on table 3.1 [\(MPa\)].

  • e_cm (MPA) –

    [\(E_{cm}\)] Average elastic modulus on day 28 [\(MPa\)].

Returns:

  • None –
Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_3_materials/formula_3_5.py 
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def __init__(
    self,
    f_cm_t: MPA,
    f_cm: MPA,
    e_cm: MPA,
) -> None:
    r"""[$E_{cm}(t)$] The approximated elastic modulus at day t [$MPa$].

    EN 1992-1-1:2004 art.3.1.3(3) - Formula (3.5)

    Parameters
    ----------
    f_cm_t : MPA
        [$f_{cm}(t)$] Compressive strength concrete at t days [$MPa$].
    f_cm : MPA
        [$f_{cm}$] Average concrete compressive strength on day 28 based on table 3.1 [$MPa$].
    e_cm : MPA
        [$E_{cm}$] Average elastic modulus on day 28 [$MPa$].

    Returns
    -------
    None
    """
    super().__init__()
    self.f_cm_t = f_cm_t
    self.f_cm = f_cm
    self.e_cm = e_cm

codes.eurocode.en_1992_1_1_2004.chapter_3_materials.formula_3_5.Form3Dot5ApproximationVarianceElasticModulusOverTime.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 3.5.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_3_materials/formula_3_5.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 3.5."""
    return LatexFormula(
        return_symbol=r"E_{cm}(t)",
        result=f"{self:.{n}f}",
        equation=r"( f_{cm}(t) / f_{cm} )^{0.3} \cdot E_{cm}",
        numeric_equation=rf"( {self.f_cm_t:.{n}f} / {self.f_cm:.{n}f} )^{{0.3}} \cdot {self.e_cm:.{n}f}",
        comparison_operator_label="=",
    )