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formula_6_19

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_19

Formula 6.19 from EN 1993-1-1:2005: Chapter 6 - Ultimate Limit State.

Classes:

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_19.Form6Dot19CheckDesignElasticShearResistance 

Form6Dot19CheckDesignElasticShearResistance(
    tau_ed: MPA, f_y: MPA, gamma_m0: DIMENSIONLESS
)

Bases: Formula

Class representing formula 6.19 for checking the design elastic shear resistance.

Check the design elastic shear resistance.

EN 1993-1-1:2005 art.6.2.6(4) - Formula (6.19)

Parameters:

  • tau_ed (MPA) –

    [\(\tau_{Ed}\)] Design shear stress [MPa].

  • f_y (MPA) –

    [\(f_{y}\)] Yield strength of the material [MPa].

  • gamma_m0 (DIMENSIONLESS) –

    [\(\gamma_{M0}\)] Partial safety factor [-].

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_19.py 
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def __init__(
    self,
    tau_ed: MPA,
    f_y: MPA,
    gamma_m0: DIMENSIONLESS,
) -> None:
    r"""Check the design elastic shear resistance.

    EN 1993-1-1:2005 art.6.2.6(4) - Formula (6.19)

    Parameters
    ----------
    tau_ed : MPA
        [$\tau_{Ed}$] Design shear stress [MPa].
    f_y : MPA
        [$f_{y}$] Yield strength of the material [MPa].
    gamma_m0 : DIMENSIONLESS
        [$\gamma_{M0}$] Partial safety factor [-].
    """
    super().__init__()
    self.tau_ed = tau_ed
    self.f_y = f_y
    self.gamma_m0 = gamma_m0

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_19.Form6Dot19CheckDesignElasticShearResistance.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.19.

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_19.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.19."""
    _equation: str = r"\left( \frac{\tau_{Ed}}{f_{y} / (\sqrt{3} \cdot \gamma_{M0})} \leq 1.0 \right)"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"\tau_{Ed}": f"{self.tau_ed:.{n}f}",
            r"f_{y}": f"{self.f_y:.{n}f}",
            r"\gamma_{M0}": f"{self.gamma_m0:.{n}f}",
        },
        False,
    )
    return LatexFormula(
        return_symbol=r"CHECK",
        result="OK" if self.__bool__() else "\\text{Not OK}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="\\to",
        unit="",
    )