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formula_7_10

codes.eurocode.en_1992_1_1_2004.chapter_7_serviceability_limit_state.formula_7_10

Formula 7.10 from EN 1992-1-1:2004: Chapter 7 - Serviceability Limit State.

Classes:

  • Form7Dot10RhoPEff –

    Class representing formula 7.10 for the calculation of [\(\rho_{p,eff}\)].

codes.eurocode.en_1992_1_1_2004.chapter_7_serviceability_limit_state.formula_7_10.Form7Dot10RhoPEff 

Form7Dot10RhoPEff(a_s: MM2, xi_1: DIMENSIONLESS, a_p_prime: MM2, a_c_eff: MM2)

Bases: Formula

Class representing formula 7.10 for the calculation of [\(\rho_{p,eff}\)].

[\(\rho_{p,eff}\)] Calculation of the effective reinforcement ratio [\(mm^2\)].

EN 1992-1-1:2004 art.7.3.2(3) - Formula (7.10)

Parameters:

  • a_s (MM2) –

    [\(A_s\)] Area of tensile reinforcement [\(mm^2\)].

  • xi_1 (DIMENSIONLESS) –

    [\(\xi_1\)] Coefficient related to the reinforcement.

  • a_p_prime (MM2) –

    [\(A'_p\)] Area of pre- or post-tensioned steel [\(mm^2\)].

  • a_c_eff (MM2) –

    [\(A_{c,eff}\)] Effective area of concrete [\(mm^2\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_7_serviceability_limit_state/formula_7_10.py 
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def __init__(
    self,
    a_s: MM2,
    xi_1: DIMENSIONLESS,
    a_p_prime: MM2,
    a_c_eff: MM2,
) -> None:
    r"""[$\rho_{p,eff}$] Calculation of the effective reinforcement ratio [$mm^2$].

    EN 1992-1-1:2004 art.7.3.2(3) - Formula (7.10)

    Parameters
    ----------
    a_s : MM2
        [$A_s$] Area of tensile reinforcement [$mm^2$].
    xi_1 : DIMENSIONLESS
        [$\xi_1$] Coefficient related to the reinforcement.
    a_p_prime : MM2
        [$A'_p$] Area of pre- or post-tensioned steel [$mm^2$].
    a_c_eff : MM2
        [$A_{c,eff}$] Effective area of concrete [$mm^2$].
    """
    super().__init__()
    self.a_s = a_s
    self.xi_1 = xi_1
    self.a_p_prime = a_p_prime
    self.a_c_eff = a_c_eff

codes.eurocode.en_1992_1_1_2004.chapter_7_serviceability_limit_state.formula_7_10.Form7Dot10RhoPEff.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 7.10.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_7_serviceability_limit_state/formula_7_10.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 7.10."""
    _equation: str = r"\frac{A_s + \xi_1 \cdot A'_p}{A_{c,eff}}"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"A_s": f"{self.a_s:.{n}f}",
            r"\xi_1": f"{self.xi_1:.{n}f}",
            r"A'_p": f"{self.a_p_prime:.{n}f}",
            r"A_{c,eff}": f"{self.a_c_eff:.{n}f}",
        },
        False,
    )
    return LatexFormula(
        return_symbol=r"\rho_{p,eff}",
        result=f"{self:.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="=",
        unit="-",
    )