Skip to content

formula_8_30

codes.eurocode.en_1993_1_1_2022.chapter_8_ultimate_limit_state.formula_8_30

Formula 8.30 from EN 1993-1-1:2022: Chapter 8 - Ultimate Limit State.

Classes:

codes.eurocode.en_1993_1_1_2022.chapter_8_ultimate_limit_state.formula_8_30.Form8Dot30CheckCombinedShearForceAndTorsionalMoment 

Form8Dot30CheckCombinedShearForceAndTorsionalMoment(v_ed: N, v_pl_t_rd: N)

Bases: ComparisonFormula

Class representing formula 8.30 for combined shear force and torsional moment.

Check the combined shear force and torsional moment.

EN 1993-1-1:2022 art.8.2.7(9) - Formula (8.30)

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 8.31, 8.32 or 8.33 [\(N\)].

Source code in blueprints/codes/eurocode/en_1993_1_1_2022/chapter_8_ultimate_limit_state/formula_8_30.py 
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
def __init__(
    self,
    v_ed: N,
    v_pl_t_rd: N,
) -> None:
    r"""Check the combined shear force and torsional moment.

    EN 1993-1-1:2022 art.8.2.7(9) - Formula (8.30)

    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 8.31, 8.32 or 8.33 [$N$].
    """
    super().__init__()
    self.v_ed = v_ed
    self.v_pl_t_rd = v_pl_t_rd

codes.eurocode.en_1993_1_1_2022.chapter_8_ultimate_limit_state.formula_8_30.Form8Dot30CheckCombinedShearForceAndTorsionalMoment.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 8.30.

Source code in blueprints/codes/eurocode/en_1993_1_1_2022/chapter_8_ultimate_limit_state/formula_8_30.py 
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 8.30."""
    _equation: str = r"\frac{V_{Ed}}{V_{pl,T,Rd}} \leq 1.0"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        replacements={
            "V_{Ed}": f"{self.v_ed:.{n}f}",
            "V_{pl,T,Rd}": f"{self.v_pl_t_rd:.{n}f}",
        },
        unique_symbol_check=False,
    )
    _numeric_equation_with_units: str = latex_replace_symbols(
        _equation,
        replacements={
            "V_{Ed}": rf"{self.v_ed:.{n}f} \ N",
            "V_{pl,T,Rd}": rf"{self.v_pl_t_rd:.{n}f} \ N",
        },
        unique_symbol_check=False,
    )
    _intermediate_result: str = rf"\left( {self.lhs:.{n}f} \leq 1.0 \right)"
    return LatexFormula(
        return_symbol=r"CHECK",
        result="OK" if bool(self) else r"\text{Not OK}",
        intermediate_result=_intermediate_result,
        equation=_equation,
        numeric_equation=_numeric_equation,
        numeric_equation_with_units=_numeric_equation_with_units,
        comparison_operator_label=r"\to",
        unit="",
    )