Skip to content

formula_5_18

codes.eurocode.en_1993_5_2007.chapter_5_ultimate_limit_states.formula_5_18

Formula 5.18 from EN 1993-5:2007: Chapter 5 - Ultimate limit state.

Classes:

codes.eurocode.en_1993_5_2007.chapter_5_ultimate_limit_states.formula_5_18.Form5Dot18CompressionCheckUProfilesClass1And2 

Form5Dot18CompressionCheckUProfilesClass1And2(n_ed: KN, n_pl_rd: KN)

Bases: ComparisonFormula

Class representing formula 5.18 for U-profiles of class 1 and 2: [\(\frac{N_{Ed}}{N_{pl,Rd}} \leq 0.25\)].

Compression check for U-profiles of class 1 and 2. Design axial force [\(N_{Ed}\)] should not exceed 25% of plastic resistance [\(N_{pl,Rd}\)].

EN 1993-5:2007 art. 5.2.3 (10) - Formula (5.18)

Parameters:

  • n_ed (KN) –

    [\(N_{Ed}\)] Design value of the compression force [\(kN\)].

  • n_pl_rd (KN) –

    [\(N_{pl,Rd}\)] Plastic design resistance of the cross-section [\(kN\)].

Source code in blueprints/codes/eurocode/en_1993_5_2007/chapter_5_ultimate_limit_states/formula_5_18.py 
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
def __init__(
    self,
    n_ed: KN,
    n_pl_rd: KN,
) -> None:
    r"""Compression check for U-profiles of class 1 and 2.
    Design axial force [$N_{Ed}$] should not exceed 25% of plastic resistance [$N_{pl,Rd}$].

    EN 1993-5:2007 art. 5.2.3 (10) - Formula (5.18)

    Parameters
    ----------
    n_ed : KN
        [$N_{Ed}$] Design value of the compression force [$kN$].
    n_pl_rd : KN
        [$N_{pl,Rd}$] Plastic design resistance of the cross-section [$kN$].
    """
    super().__init__()
    self.n_ed = n_ed
    self.n_pl_rd = n_pl_rd

codes.eurocode.en_1993_5_2007.chapter_5_ultimate_limit_states.formula_5_18.Form5Dot18CompressionCheckUProfilesClass1And2.unity_check property 

unity_check: float

Returns the unity check value.

codes.eurocode.en_1993_5_2007.chapter_5_ultimate_limit_states.formula_5_18.Form5Dot18CompressionCheckUProfilesClass1And2.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 5.18.

Source code in blueprints/codes/eurocode/en_1993_5_2007/chapter_5_ultimate_limit_states/formula_5_18.py 
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 5.18."""
    _equation: str = r"\frac{N_{Ed}}{N_{pl,Rd}} \leq 0.25"
    _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,
    )
    return LatexFormula(
        return_symbol=r"CHECK",
        result="OK" if bool(self) else r"\text{Not OK}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label=r"\to",
        unit="",
    )