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formula_3_16

codes.eurocode.en_1992_1_1_2004.chapter_3_materials.formula_3_16

Formula 3.16 from EN 1992-1-1:2004: Chapter 3 - Materials.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_3_materials.formula_3_16.Form3Dot16DesignValueTensileStrength 

Form3Dot16DesignValueTensileStrength(
    alpha_ct: DIMENSIONLESS, f_ctk_0_05: MPA, gamma_c: DIMENSIONLESS
)

Bases: Formula

Class representing formula 3.16 for the calculation of the concrete tensile strength design value.

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

EN 1992-1-1:2004 art.3.1.6(2) - Formula (3.16)

Parameters:

  • alpha_ct (DIMENSIONLESS) –

    [\(\alpha_{ct}\)] Coefficient taking long term effects on tensile strength into account and unfavorable effect due to positioning loading [\(-\)] See national appendix. Recommended value: 1.0

  • f_ctk_0_05 (MPA) –

    [\(f_{ctk,0.05}\)] Characteristic tensile strength 5% [\(MPa\)].

  • 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_16.py 
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def __init__(
    self,
    alpha_ct: DIMENSIONLESS,
    f_ctk_0_05: MPA,
    gamma_c: DIMENSIONLESS,
) -> None:
    r"""[$f_{cd}$] Design value concrete tensile strength [$MPa$].

    EN 1992-1-1:2004 art.3.1.6(2) - Formula (3.16)

    Parameters
    ----------
    alpha_ct : DIMENSIONLESS
        [$\alpha_{ct}$] Coefficient taking long term effects on tensile strength into
        account and unfavorable effect due to positioning loading [$-$]
        See national appendix. Recommended value: 1.0
    f_ctk_0_05 : MPA
        [$f_{ctk,0.05}$] Characteristic tensile strength 5% [$MPa$].
    gamma_c : DIMENSIONLESS
        [$\gamma_{c}$] Partial safety factor concrete, see 2.4.2.4 [$-$].

    Returns
    -------
    None
    """
    super().__init__()
    self.alpha_ct = alpha_ct
    self.f_ctk_0_05 = f_ctk_0_05
    self.gamma_c = gamma_c

codes.eurocode.en_1992_1_1_2004.chapter_3_materials.formula_3_16.Form3Dot16DesignValueTensileStrength.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 3.16.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_3_materials/formula_3_16.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 3.16."""
    return LatexFormula(
        return_symbol=r"f_{ctd}",
        result=f"{self:.{n}f}",
        equation=r"\alpha_{ct} \cdot f_{ctk,0.05} / \gamma_C",
        numeric_equation=rf"{self.alpha_ct:.{n}f} \cdot {self.f_ctk_0_05:.{n}f} / {self.gamma_c:.{n}f}",
        comparison_operator_label="=",
    )