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formula_6_19

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_19

Formula 6.19 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_19.Form6Dot19CheckShearForce 

Form6Dot19CheckShearForce(v_ed: N, a_sw: MM2, f_ywd: MPA, alpha: DEG)

Bases: Formula

Class representing formula 6.19 for checking the shear force.

Check the shear force with :math:V_{Ed} \leq A_{sw} \cdot f_{ywd} \cdot \sin(\alpha).

EN 1992-1-1:2004 art.6.2.3(8) - Formula (6.19)

Parameters:

  • v_ed (N) –

    [:math:V_{Ed}] Design value of the shear force [:math:N].

  • a_sw (MM2) –

    [:math:A_{sw}] Cross-sectional area of the shear reinforcement [:math:mm^2].

  • f_ywd (MPA) –

    [:math:f_{ywd}] Design yield strength of the shear reinforcement [:math:MPa].

  • alpha (DEG) –

    [:math:\alpha] Angle between shear reinforcement and the beam axis perpendicular to the shear force [:math:degrees].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_19.py 
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def __init__(
    self,
    v_ed: N,
    a_sw: MM2,
    f_ywd: MPA,
    alpha: DEG,
) -> None:
    r"""Check the shear force with :math:`V_{Ed} \leq A_{sw} \cdot f_{ywd} \cdot \sin(\alpha)`.

    EN 1992-1-1:2004 art.6.2.3(8) - Formula (6.19)

    Parameters
    ----------
    v_ed : N
        [:math:`V_{Ed}`] Design value of the shear force [:math:`N`].
    a_sw : MM2
        [:math:`A_{sw}`] Cross-sectional area of the shear reinforcement [:math:`mm^2`].
    f_ywd : MPA
        [:math:`f_{ywd}`] Design yield strength of the shear reinforcement [:math:`MPa`].
    alpha : DEG
        [:math:`\alpha`] Angle between shear reinforcement and the beam axis perpendicular to the shear force [:math:`degrees`].
    """
    super().__init__()
    self.v_ed = v_ed
    self.a_sw = a_sw
    self.f_ywd = f_ywd
    self.alpha = alpha

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_19.Form6Dot19CheckShearForce.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.19.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_19.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.19."""
    return LatexFormula(
        return_symbol=r"CHECK",
        result="OK" if self.__bool__() else "\\text{Not OK}",
        equation=r"V_{Ed} \leq A_{sw} \cdot f_{ywd} \cdot \sin(\alpha)",
        numeric_equation=rf"{self.v_ed:.{n}f} \leq {self.a_sw:.{n}f} \cdot {self.f_ywd:.{n}f} \cdot \sin({self.alpha:.{n}f})",
        comparison_operator_label="\\to",
        unit="",
    )