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formula_7_6n

codes.eurocode.en_1992_1_1_2004.chapter_7_serviceability_limit_state.formula_7_6n

Formula 7.6n 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_6n.Form7Dot6nMaxBarDiameterBending 

Form7Dot6nMaxBarDiameterBending(
    diam_s_star: MM, f_ct_eff: MPA, k_c: DIMENSIONLESS, h_cr: MM, h: MM, d: MM
)

Bases: Formula

Class representing formula 7.6n for the calculation of [\(⌀_s\)].

[\(⌀_s\)] Calculation of the maximum bar diameter for bending [\(mm\)].

EN 1992-1-1:2004 art.7.3.3(2) - Formula (7.6n)

Parameters:

  • diam_s_star (MM) –

    [\(⌀^*_s\)] Maximum bar size given in the Table 7.2N [\(mm\)].

  • f_ct_eff (MPA) –

    [\(f_{ct,eff}\)] Mean value of the tensile strength of the concrete effective at the time when the cracks may first be expected to occur [\(MPa\)].

  • k_c (DIMENSIONLESS) –

    [\(k_c\)] Coefficient dependent on the type of member and the nature of the stress distribution, see equation 7.2 and 7.3 [\(-\)].

  • h_cr (MM) –

    [\(h_{cr}\)] Depth of the tensile zone immediately prior to cracking, considering the characteristic values of prestress and axial forces under the quasi-permanent combination of actions [\(mm\)].

  • h (MM) –

    [\(h\)] Overall depth of the section [\(mm\)].

  • d (MM) –

    [\(d\)] Effective depth to the centroid of the outer layer of reinforcement [\(mm\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_7_serviceability_limit_state/formula_7_6n.py 
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def __init__(
    self,
    diam_s_star: MM,
    f_ct_eff: MPA,
    k_c: DIMENSIONLESS,
    h_cr: MM,
    h: MM,
    d: MM,
) -> None:
    r"""[$⌀_s$] Calculation of the maximum bar diameter for bending [$mm$].

    EN 1992-1-1:2004 art.7.3.3(2) - Formula (7.6n)

    Parameters
    ----------
    diam_s_star : MM
        [$⌀^*_s$] Maximum bar size given in the Table 7.2N [$mm$].
    f_ct_eff : MPA
        [$f_{ct,eff}$] Mean value of the tensile strength of the concrete effective at the time
        when the cracks may first be expected to occur [$MPa$].
    k_c : DIMENSIONLESS
        [$k_c$] Coefficient dependent on the type of member and the nature of the stress distribution, see equation 7.2 and 7.3 [$-$].
    h_cr : MM
        [$h_{cr}$] Depth of the tensile zone immediately prior to cracking, considering the characteristic values
        of prestress and axial forces under the quasi-permanent combination of actions [$mm$].
    h : MM
        [$h$] Overall depth of the section [$mm$].
    d : MM
        [$d$] Effective depth to the centroid of the outer layer of reinforcement [$mm$].
    """
    super().__init__()
    self.diam_s_star = diam_s_star
    self.f_ct_eff = f_ct_eff
    self.k_c = k_c
    self.h_cr = h_cr
    self.h = h
    self.d = d

codes.eurocode.en_1992_1_1_2004.chapter_7_serviceability_limit_state.formula_7_6n.Form7Dot6nMaxBarDiameterBending.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 7.6n.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_7_serviceability_limit_state/formula_7_6n.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 7.6n."""
    _equation: str = r"⌀^*_s \cdot \left(\frac{f_{ct,eff}}{2.9}\right) \cdot \left(\frac{k_c \cdot h_{cr}}{2 \cdot ( h - d)}\right)"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"⌀^*_s": f"{self.diam_s_star:.{n}f}",
            r"f_{ct,eff}": f"{self.f_ct_eff:.{n}f}",
            r"k_c": f"{self.k_c:.{n}f}",
            r"h_{cr}": f"{self.h_cr:.{n}f}",
            r" h": f" {self.h:.{n}f}",
            r" d": f" {self.d:.{n}f}",
        },
        False,
    )
    return LatexFormula(
        return_symbol=r"⌀_s",
        result=f"{self:.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="=",
        unit="mm",
    )