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formula_6_25

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_25

Formula 6.25 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_25.Form6Dot25CheckCombinedShearForceAndTorsionalMoment 

Form6Dot25CheckCombinedShearForceAndTorsionalMoment(v_ed: N, v_pl_t_rd: N)

Bases: Formula

Class representing formula 6.25 for combined shear force and torsional moment.

Check the combined shear force and torsional moment.

EN 1993-1-1:2005 art.6.2.7(9) - Formula (6.25)

Parameters:

  • v_ed (N) –

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

  • v_pl_t_rd (N) –

    [\(V_{pl,T,Rd}\)] Plastic shear resistance accounting for torsional effects, derived from equation 6.26, 6.27 or 6.28 [\(N\)].

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_25.py 
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def __init__(
    self,
    v_ed: N,
    v_pl_t_rd: N,
) -> None:
    r"""Check the combined shear force and torsional moment.

    EN 1993-1-1:2005 art.6.2.7(9) - Formula (6.25)

    Parameters
    ----------
    v_ed : N
        [$V_{Ed}$] Design shear force [$N$].
    v_pl_t_rd : N
        [$V_{pl,T,Rd}$] Plastic shear resistance accounting for torsional effects, derived from equation 6.26, 6.27 or 6.28 [$N$].
    """
    super().__init__()
    self.v_ed = v_ed
    self.v_pl_t_rd = v_pl_t_rd

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_25.Form6Dot25CheckCombinedShearForceAndTorsionalMoment.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.25.

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_25.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.25."""
    _equation: str = r"\left( \frac{V_{Ed}}{V_{pl,T,Rd}} \leq 1.0 \right)"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            "V_{Ed}": f"{self.v_ed:.{n}f}",
            "V_{pl,T,Rd}": f"{self.v_pl_t_rd:.{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="",
    )