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formula_8_22

codes.eurocode.en_1993_1_1_2022.chapter_8_ultimate_limit_state.formula_8_22

Formula 8.22 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_22.Form8Dot22CheckShearForce 

Form8Dot22CheckShearForce(v_ed: N, v_c_rd: N)

Bases: ComparisonFormula

Class representing formula 8.22 for checking the design value of the shear force.

Check the design value of the shear force at each cross section.

EN 1993-1-1:2022 art.8.2.6(1) - Formula (8.22)

Parameters:

  • v_ed (N) –

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

  • v_c_rd (N) –

    [\(V_{c,Rd}\)] Design shear resistance [\(N\)].

Source code in blueprints/codes/eurocode/en_1993_1_1_2022/chapter_8_ultimate_limit_state/formula_8_22.py 
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def __init__(
    self,
    v_ed: N,
    v_c_rd: N,
) -> None:
    r"""Check the design value of the shear force at each cross section.

    EN 1993-1-1:2022 art.8.2.6(1) - Formula (8.22)

    Parameters
    ----------
    v_ed : N
        [$V_{Ed}$] Design value of the shear force [$N$].
    v_c_rd : N
        [$V_{c,Rd}$] Design shear resistance [$N$].
    """
    super().__init__()
    self.v_ed = v_ed
    self.v_c_rd = v_c_rd

codes.eurocode.en_1993_1_1_2022.chapter_8_ultimate_limit_state.formula_8_22.Form8Dot22CheckShearForce.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 8.22.

Source code in blueprints/codes/eurocode/en_1993_1_1_2022/chapter_8_ultimate_limit_state/formula_8_22.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 8.22."""
    _equation: str = r"\frac{V_{Ed}}{V_{c,Rd}} \leq 1.0"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            "V_{Ed}": f"{self.v_ed:.{n}f}",
            "V_{c,Rd}": f"{self.v_c_rd:.{n}f}",
        },
        False,
    )
    _numeric_equation_with_units: str = latex_replace_symbols(
        _equation,
        {
            "V_{Ed}": rf"{self.v_ed:.{n}f} \ N",
            "V_{c,Rd}": rf"{self.v_c_rd:.{n}f} \ N",
        },
        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="",
    )