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formula_6_29

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_29

Formula 6.29 from NEN-EN 1993-1-1+A1:2016: Chapter 6 - Ultimate Limit State.

Classes:

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_29.Form6Dot29ReducedYieldStrength 

Form6Dot29ReducedYieldStrength(rho: DIMENSIONLESS, f_y: MPA)

Bases: Formula

Class representing formula 6.29 for the calculation of reduced yield strength.

[\(f_{y,red}\)] Calculation of reduced yield strength [\(MPa\)].

NEN-EN 1993-1-1+A1:2016 art.6.2.8(3) - Formula (6.29)

Parameters:

  • rho (DIMENSIONLESS) –

    [\(\rho\)] Reduction factor for shear force, see equation 6.29rho (dimensionless).

  • f_y (MPA) –

    [\(f_y\)] Yield strength of the material [\(MPa\)].

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_29.py 
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def __init__(
    self,
    rho: DIMENSIONLESS,
    f_y: MPA,
) -> None:
    r"""[$f_{y,red}$] Calculation of reduced yield strength [$MPa$].

    NEN-EN 1993-1-1+A1:2016 art.6.2.8(3) - Formula (6.29)

    Parameters
    ----------
    rho : DIMENSIONLESS
        [$\rho$] Reduction factor for shear force, see equation 6.29rho (dimensionless).
    f_y : MPA
        [$f_y$] Yield strength of the material [$MPa$].
    """
    super().__init__()
    self.rho = rho
    self.f_y = f_y

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_29.Form6Dot29ReducedYieldStrength.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.29.

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_29.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.29."""
    _equation: str = r"(1 - \rho) \cdot f_y"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"\rho": f"{self.rho:.{n}f}",
            r"f_y": f"{self.f_y:.{n}f}",
        },
        False,
    )
    _numeric_equation_with_units: str = latex_replace_symbols(
        _equation,
        {
            r"\rho": rf"{self.rho:.{n}f}",
            r"f_y": rf"{self.f_y:.{n}f} \ MPa",
        },
        True,
    )
    return LatexFormula(
        return_symbol=r"f_{y,red}",
        result=f"{self:.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        numeric_equation_with_units=_numeric_equation_with_units,
        comparison_operator_label="=",
        unit="MPa",
    )