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formula_7_20

codes.eurocode.en_1992_1_1_2004.chapter_7_serviceability_limit_state.formula_7_20

Formula 7.20 from EN 1992-1-1:2004: Chapter 7 - Serviceability Limit State.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_7_serviceability_limit_state.formula_7_20.Form7Dot20EffectiveModulusCreep 

Form7Dot20EffectiveModulusCreep(e_cm: MPA, phi_inf_t0: DIMENSIONLESS)

Bases: Formula

Class representing formula 7.20 for the calculation of [\(E_{c,eff}\)].

[\(E_{c,eff}\)] Calculation of the effective modulus of elasticity for concrete including creep.

EN 1992-1-1:2004 art.7.4.3(5) - Formula (7.20)

Parameters:

  • e_cm (MPA) –

    [\(E_{cm}\)] Secant modulus of elasticity of concrete [\(MPa\)].

  • phi_inf_t0 (DIMENSIONLESS) –

    [\(\phi(\infty, t_0)\)] Creep coefficient relevant for the load and time interval (see 3.1.3) [\(-\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_7_serviceability_limit_state/formula_7_20.py 
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def __init__(
    self,
    e_cm: MPA,
    phi_inf_t0: DIMENSIONLESS,
) -> None:
    r"""[$E_{c,eff}$] Calculation of the effective modulus of elasticity for concrete including creep.

    EN 1992-1-1:2004 art.7.4.3(5) - Formula (7.20)

    Parameters
    ----------
    e_cm : MPA
        [$E_{cm}$] Secant modulus of elasticity of concrete [$MPa$].
    phi_inf_t0 : DIMENSIONLESS
        [$\phi(\infty, t_0)$] Creep coefficient relevant for the load and time interval (see 3.1.3) [$-$].
    """
    super().__init__()
    self.e_cm = e_cm
    self.phi_inf_t0 = phi_inf_t0

codes.eurocode.en_1992_1_1_2004.chapter_7_serviceability_limit_state.formula_7_20.Form7Dot20EffectiveModulusCreep.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 7.20.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_7_serviceability_limit_state/formula_7_20.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 7.20."""
    _equation: str = r"\frac{E_{cm}}{1 + \phi(\infty , t_0)}"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"E_{cm}": f"{self.e_cm:.{n}f}",
            r"\phi(\infty , t_0)": f"{self.phi_inf_t0:.{n}f}",
        },
        False,
    )
    return LatexFormula(
        return_symbol=r"E_{c,eff}",
        result=f"{self:.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="=",
        unit="MPa",
    )