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formula_6_22

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_22

Formula 6.22 from EN 1992-1-1:2004: Chapter 6 - Ultimate limit state.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_22.Form6Dot22CheckCrushingCompressionStruts 

Form6Dot22CheckCrushingCompressionStruts(
    v_ed: MPA, nu: DIMENSIONLESS, f_cd: MPA, theta_f: DEG
)

Bases: Formula

Class representing formula 6.22 for checking the crushing of the compression struts in the flange.

Check the crushing of the compression struts in the flange.

EN 1992-1-1:2004 art.6.2.4(4) - Formula (6.22)

Parameters:

  • v_ed (MPA) –

    [\(v_{Ed}\)] Design shear force [\(MPa\)].

  • nu (DIMENSIONLESS) –

    [\(\nu\)] Strength reduction factor [\(-\)].

  • f_cd (MPA) –

    [\(f_{cd}\)] Design value of concrete compressive strength [\(MPa\)].

  • theta_f (DEG) –

    [\(\theta_{f}\)] Angle of the compression struts [\(-\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_22.py 
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def __init__(
    self,
    v_ed: MPA,
    nu: DIMENSIONLESS,
    f_cd: MPA,
    theta_f: DEG,
) -> None:
    r"""Check the crushing of the compression struts in the flange.

    EN 1992-1-1:2004 art.6.2.4(4) - Formula (6.22)

    Parameters
    ----------
    v_ed : MPA
        [$v_{Ed}$] Design shear force [$MPa$].
    nu : DIMENSIONLESS
        [$\nu$] Strength reduction factor [$-$].
    f_cd : MPA
        [$f_{cd}$] Design value of concrete compressive strength [$MPa$].
    theta_f : DEG
        [$\theta_{f}$] Angle of the compression struts [$-$].
    """
    super().__init__()
    self.v_ed = v_ed
    self.nu = nu
    self.f_cd = f_cd
    self.theta_f = theta_f

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_22.Form6Dot22CheckCrushingCompressionStruts.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.22.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_22.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.22."""
    return LatexFormula(
        return_symbol=r"CHECK",
        result="OK" if self.__bool__() else "\\text{Not OK}",
        equation=r"v_{Ed} \leq \nu \cdot f_{cd} \cdot \sin(\theta_{f}) \cdot \cos(\theta_{f})",
        numeric_equation=rf"{self.v_ed:.{n}f} \leq {self.nu:.{n}f} \cdot {self.f_cd:.{n}f} \cdot \sin({self.theta_f:.{n}f}) "
        rf"\cdot \cos({self.theta_f:.{n}f})",
        comparison_operator_label="\\to",
        unit="",
    )