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formula_6_62

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_62

Formula 6.62 from EN 1992-1-1:2004: Chapter 6 - Ultimate Limit State.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_62.Form6Dot62DesignValueCompressiveStressResistance 

Form6Dot62DesignValueCompressiveStressResistance(
    k_3: DIMENSIONLESS, nu_prime: DIMENSIONLESS, f_cd: MPA
)

Bases: Formula

Class representing formula 6.62 for the calculation of [\(\sigma_{Rd,max}\)].

[\(\sigma_{Rd,max}\)] Calculation of [\(\sigma_{Rd,max}\)].

EN 1992-1-1:2004 art.6.5.4(4) - Formula (6.62)

Parameters:

  • k_3 (DIMENSIONLESS) –

    [\(k_3\)] Coefficient for the design value of compressive stress resistance [\(-\)]. Note: The value of [\(k_3\)] for use in a Country may be found in its National Annex. The recommended value is 0.75.

  • nu_prime (DIMENSIONLESS) –

    [\(\nu'\)] Reduction factor for the design value of compressive stress resistance [\(-\)].

  • f_cd (MPA) –

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

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_62.py 
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def __init__(
    self,
    k_3: DIMENSIONLESS,
    nu_prime: DIMENSIONLESS,
    f_cd: MPA,
) -> None:
    r"""[$\sigma_{Rd,max}$] Calculation of [$\sigma_{Rd,max}$].

    EN 1992-1-1:2004 art.6.5.4(4) - Formula (6.62)

    Parameters
    ----------
    k_3 : DIMENSIONLESS
        [$k_3$] Coefficient for the design value of compressive stress resistance [$-$].
        Note: The value of [$k_3$] for use in a Country may be found in its National Annex.
        The recommended value is 0.75.
    nu_prime : DIMENSIONLESS
        [$\nu'$] Reduction factor for the design value of compressive stress resistance [$-$].
    f_cd : MPA
        [$f_{cd}$] Design value of compressive strength [$MPa$].
    """
    super().__init__()
    self.k_3 = k_3
    self.nu_prime = nu_prime
    self.f_cd = f_cd

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_62.Form6Dot62DesignValueCompressiveStressResistance.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.62.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_62.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.62."""
    _equation: str = r"k_3 \cdot \nu' \cdot f_{cd}"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"k_3": f"{self.k_3:.{n}f}",
            r"\nu'": f"{self.nu_prime:.{n}f}",
            r"f_{cd}": f"{self.f_cd:.{n}f}",
        },
        False,
    )
    return LatexFormula(
        return_symbol=r"\sigma_{Rd,max}",
        result=f"{self:.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="=",
        unit="MPa",
    )