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formula_3_15

codes.eurocode.en_1992_1_1_2004.chapter_3_materials.formula_3_15

Formula 3.15 from EN 1992-1-1:2004: Chapter 3 - Materials.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_3_materials.formula_3_15.Form3Dot15DesignValueCompressiveStrength

Form3Dot15DesignValueCompressiveStrength(
    alpha_cc: DIMENSIONLESS, f_ck: MPA, gamma_c: DIMENSIONLESS
)

Bases: Formula

Class representing formula 3.15 for the calculation of the concrete compressive strength design value.

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

EN 1992-1-1:2004 art.3.1.6(1) - Formula (3.15)

Parameters:

  • alpha_cc (DIMENSIONLESS) –

    [\(\alpha_{cc}\)] Coefficient taking long term effects on compressive strength into account and unfavorable effect due to positioning loading [\(-\)] Normally between 0.8 and 1, see national appendix. Recommended value: 1.0

  • f_ck (MPA) –

    [\(f_{ck}\)] Characteristic compressive strength [\(MPa\)].

  • gamma_c (DIMENSIONLESS) –

    [\(\gamma_{c}\)] Partial safety factor concrete, see 2.4.2.4 [\(-\)].

Returns:

  • None
Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_3_materials/formula_3_15.py
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def __init__(
    self,
    alpha_cc: DIMENSIONLESS,
    f_ck: MPA,
    gamma_c: DIMENSIONLESS,
) -> None:
    r"""[$f_{cd}$] Design value concrete compressive strength [$MPa$].

    EN 1992-1-1:2004 art.3.1.6(1) - Formula (3.15)

    Parameters
    ----------
    alpha_cc : DIMENSIONLESS
        [$\alpha_{cc}$] Coefficient taking long term effects on compressive strength into
        account and unfavorable effect due to positioning loading [$-$]
        Normally between 0.8 and 1, see national appendix. Recommended value: 1.0
    f_ck : MPA
        [$f_{ck}$] Characteristic compressive strength [$MPa$].
    gamma_c : DIMENSIONLESS
        [$\gamma_{c}$] Partial safety factor concrete, see 2.4.2.4 [$-$].

    Returns
    -------
    None
    """
    super().__init__()
    self.alpha_cc = alpha_cc
    self.f_ck = f_ck
    self.gamma_c = gamma_c

codes.eurocode.en_1992_1_1_2004.chapter_3_materials.formula_3_15.Form3Dot15DesignValueCompressiveStrength.latex

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 3.15.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_3_materials/formula_3_15.py
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 3.15."""
    return LatexFormula(
        return_symbol=r"f_{cd}",
        result=f"{self:.{n}f}",
        equation=r"\alpha_{cc} \cdot f_{ck} / \gamma_C",
        numeric_equation=rf"{self.alpha_cc:.{n}f} \cdot {self.f_ck:.{n}f} / {self.gamma_c:.{n}f}",
        comparison_operator_label="=",
    )