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formula_8_13

codes.eurocode.en_1993_1_1_2022.chapter_8_ultimate_limit_state.formula_8_13

Formula 8.13 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_13.Form8Dot13UnityCheckTensileStrength 

Form8Dot13UnityCheckTensileStrength(n_ed: N, n_t_rd: N)

Bases: ComparisonFormula

Class representing formula 8.13 for the unity check for tensile strength.

Unity check for tensile strength of an element in tension.

EN 1993-1-1:2022 art.8.2.3(1) - Formula (8.13)

Parameters:

  • n_ed (N) –

    [\(N_{Ed}\)] Design value of the normal tensile force [\(N\)].

  • n_t_rd (N) –

    [\(N_{t,Rd}\)] Design value of the resistance against tensile force [\(N\)].

Source code in blueprints/codes/eurocode/en_1993_1_1_2022/chapter_8_ultimate_limit_state/formula_8_13.py 
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def __init__(
    self,
    n_ed: N,
    n_t_rd: N,
) -> None:
    r"""Unity check for tensile strength of an element in tension.

    EN 1993-1-1:2022 art.8.2.3(1) - Formula (8.13)

    Parameters
    ----------
    n_ed : N
        [$N_{Ed}$] Design value of the normal tensile force [$N$].
    n_t_rd : N
        [$N_{t,Rd}$] Design value of the resistance against tensile force [$N$].
    """
    super().__init__()
    self.n_ed = n_ed
    self.n_t_rd = n_t_rd

codes.eurocode.en_1993_1_1_2022.chapter_8_ultimate_limit_state.formula_8_13.Form8Dot13UnityCheckTensileStrength.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 8.13.

Source code in blueprints/codes/eurocode/en_1993_1_1_2022/chapter_8_ultimate_limit_state/formula_8_13.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 8.13."""
    _equation: str = r"\frac{N_{Ed}}{N_{t,Rd}} \leq 1.0"
    _numeric_equation: str = latex_replace_symbols(
        template=_equation,
        replacements={
            "N_{Ed}": f"{self.n_ed:.{n}f}",
            "N_{t,Rd}": f"{self.n_t_rd:.{n}f}",
        },
        unique_symbol_check=False,
    )
    _numeric_equation_with_units: str = latex_replace_symbols(
        template=_equation,
        replacements={
            "N_{Ed}": rf"{self.n_ed:.{n}f} \ N",
            "N_{t,Rd}": rf"{self.n_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="",
    )