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formula_3_17

codes.eurocode.en_1992_1_1_2004.chapter_3_materials.formula_3_17

Formula 3.17 from EN 1992-1-1:2004: Chapter 3 - Materials.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_3_materials.formula_3_17.Form3Dot17CompressiveStressConcrete 

Form3Dot17CompressiveStressConcrete(
    f_cd: MPA,
    epsilon_c: DIMENSIONLESS,
    epsilon_c2: DIMENSIONLESS,
    n: DIMENSIONLESS,
)

Bases: Formula

Class representing formula 3.17 for the calculation of compressive stress in concrete using stress-strain diagram of figure 3.3.

[\(\sigma_c\)] Compressive stress in concrete using stress-strain diagram of figure 3.3 [\(MPa\)].

EN 1992-1-1:2004 art.3.1.7(1) - Formula (3.17)

Parameters:

  • f_cd (MPA) –

    [\(f_{cd}\)] Design value compressive strength concrete [\(MPa\)].

  • epsilon_c (DIMENSIONLESS) –

    [\(\epsilon_c\)] Strain in concrete [\(-\)].

  • epsilon_c2 (DIMENSIONLESS) –

    [\(\epsilon_{c2}\)] Strain in concrete when reaching maximum strength following table 3.1 [\(-\)].

  • n (DIMENSIONLESS) –

    Exponent following table 3.1.

Returns:

  • None –
Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_3_materials/formula_3_17.py 
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def __init__(
    self,
    f_cd: MPA,
    epsilon_c: DIMENSIONLESS,
    epsilon_c2: DIMENSIONLESS,
    n: DIMENSIONLESS,
) -> None:
    r"""[$\sigma_c$] Compressive stress in concrete using stress-strain diagram of figure 3.3 [$MPa$].

    EN 1992-1-1:2004 art.3.1.7(1) - Formula (3.17)

    Parameters
    ----------
    f_cd : MPA
        [$f_{cd}$] Design value compressive strength concrete [$MPa$].
    epsilon_c : DIMENSIONLESS
        [$\epsilon_c$] Strain in concrete [$-$].
    epsilon_c2 : DIMENSIONLESS
        [$\epsilon_{c2}$] Strain in concrete when reaching maximum strength following table 3.1 [$-$].
    n : DIMENSIONLESS
        Exponent following table 3.1.

    Returns
    -------
    None
    """
    super().__init__()
    self.f_cd = f_cd
    self.epsilon_c = epsilon_c
    self.epsilon_c2 = epsilon_c2
    self.n = n

codes.eurocode.en_1992_1_1_2004.chapter_3_materials.formula_3_17.Form3Dot17CompressiveStressConcrete.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 3.17.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_3_materials/formula_3_17.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 3.17."""
    return LatexFormula(
        return_symbol=r"\sigma_c",
        result=f"{self:.{n}f}",
        equation=r"f_{cd} \cdot \left[ 1 - \left( 1 - \frac{\epsilon_c}{\epsilon_{c2}} \right)^n \right]",
        numeric_equation=(
            rf"{self.f_cd:.{n}f} \cdot \left[ 1 - \left( 1 - \frac{{{self.epsilon_c:.{n}f}}}"
            rf"{{{self.epsilon_c2:.{n}f}}} \right)^{{{self.n:.{n}f}}} \right]"
        ),
        comparison_operator_label="=",
    )