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formula_6_31

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_31

Formula 6.31 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_31.Form6Dot31CheckTorsionShearResistanceRectangular 

Form6Dot31CheckTorsionShearResistanceRectangular(
    t_ed: NMM, t_rd_c: NMM, v_ed: N, v_rd_c: N
)

Bases: Formula

Class representing formula 6.31 for checking the maximum resistance of a member subjected to torsion and shear.

Check the maximum resistance of a member subjected to torsion and shear.

EN 1992-1-1:2004 art.6.3.2(4) - Formula (6.31)

Parameters:

  • t_ed (NMM) –

    [\(T_{Ed}\)] Design torsional moment [\(Nmm\)].

  • t_rd_c (NMM) –

    [\(T_{Rd,c}\)] the torsional cracking moment, which may be determined by setting tau_t,i = fctd [\(Nmm\)].

  • v_ed (N) –

    [\(V_{Ed}\)] Design transverse force [\(N\)].

  • v_rd_c (N) –

    [\(V_{Rd,c}\)] follows from Expression (6.2) [\(N\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_31.py 
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def __init__(
    self,
    t_ed: NMM,
    t_rd_c: NMM,
    v_ed: N,
    v_rd_c: N,
) -> None:
    r"""Check the maximum resistance of a member subjected to torsion and shear.

    EN 1992-1-1:2004 art.6.3.2(4) - Formula (6.31)

    Parameters
    ----------
    t_ed : NMM
        [$T_{Ed}$] Design torsional moment [$Nmm$].
    t_rd_c : NMM
        [$T_{Rd,c}$] the torsional cracking moment, which may be determined by setting tau_t,i = fctd [$Nmm$].
    v_ed : N
        [$V_{Ed}$] Design transverse force [$N$].
    v_rd_c : N
        [$V_{Rd,c}$] follows from Expression (6.2) [$N$].
    """
    super().__init__()
    self.t_ed = t_ed
    self.t_rd_c = t_rd_c
    self.v_ed = v_ed
    self.v_rd_c = v_rd_c

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_31.Form6Dot31CheckTorsionShearResistanceRectangular.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.31.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_31.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.31."""
    return LatexFormula(
        return_symbol=r"CHECK",
        result="OK" if self.__bool__() else "\\text{Not OK}",
        equation=r"\left( \frac{T_{Ed}}{T_{Rd,c}} + \frac{V_{Ed}}{V_{Rd,c}} \leq 1 \right)",
        numeric_equation=rf"\left( \frac{{{self.t_ed:.{n}f}}}{{{self.t_rd_c:.{n}f}}} + "
        rf"\frac{{{self.v_ed:.{n}f}}}{{{self.v_rd_c:.{n}f}}} \leq 1 \right)",
        comparison_operator_label="\\to",
        unit="",
    )