Skip to content

formula_6_33

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_33

Formula 6.33 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_33.Form6Dot33CheckAxialForceY 

Form6Dot33CheckAxialForceY(n_ed: N, n_pl_rd: N)

Bases: Formula

Class representing formula 6.33 for checking axial force about the y-y axis.

For doubly symmetrical I- and H-sections or other flanges sections, allowance need not be made for the effect of the axial force on the plastic resistance moment about the y-y axis when 6.33 and 6.34 are satisfied.

EN 1993-1-1:2005 art.6.2.9(4) - Formula (6.33)

Parameters:

  • n_ed (N) –

    [\(N_{Ed}\)] Design axial force [\(N\)].

  • n_pl_rd (N) –

    [\(N_{pl,Rd}\)] Plastic resistance normal force [\(N\)].

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_33.py 
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
def __init__(
    self,
    n_ed: N,
    n_pl_rd: N,
) -> None:
    r"""For doubly symmetrical I- and H-sections or other flanges sections,
    allowance need not be made for the effect of the axial force on the
    plastic resistance moment about the y-y axis when 6.33 and 6.34 are satisfied.

    EN 1993-1-1:2005 art.6.2.9(4) - Formula (6.33)

    Parameters
    ----------
    n_ed : N
        [$N_{Ed}$] Design axial force [$N$].
    n_pl_rd : N
        [$N_{pl,Rd}$] Plastic resistance normal force [$N$].
    """
    super().__init__()
    self.n_ed = n_ed
    self.n_pl_rd = n_pl_rd

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_33.Form6Dot33CheckAxialForceY.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.33.

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_33.py 
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.33."""
    _equation: str = r"N_{Ed} \leq 0.25 \cdot N_{pl,Rd}"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"N_{Ed}": f"{self.n_ed:.{n}f}",
            r"N_{pl,Rd}": f"{self.n_pl_rd:.{n}f}",
        },
        False,
    )
    _numeric_equation_with_units: str = latex_replace_symbols(
        _equation,
        {
            r"N_{Ed}": rf"{self.n_ed:.{n}f} \ N",
            r"N_{pl,Rd}": rf"{self.n_pl_rd:.{n}f} \ N",
        },
        True,
    )
    return LatexFormula(
        return_symbol="CHECK",
        result="OK" if self.__bool__() else "\\text{Not OK}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        numeric_equation_with_units=_numeric_equation_with_units,
        comparison_operator_label="\\to",
        unit="",
    )