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formula_6_18

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_18

Formula 6.18 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_18.Form6Dot18AdditionalTensileForce 

Form6Dot18AdditionalTensileForce(v_ed: KN, theta: DEG, alpha: DEG)

Bases: Formula

Class representing formula 6.18 for the calculation of the additional tensile force, [\(\Delta F_{td}\)].

[\(\Delta F_{td}\)] Additional tensile force [\(kN\)].

EN 1992-1-1:2004 art.6.2.3(7) - Formula (6.18)

Parameters:

  • v_ed (KN) –

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

  • theta (DEG) –

    [\(\theta\)] Angle between the concrete compression strut and the beam axis perpendicular to the shear force [\(degrees\)].

  • alpha (DEG) –

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

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_18.py 
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def __init__(
    self,
    v_ed: KN,
    theta: DEG,
    alpha: DEG,
) -> None:
    r"""[$\Delta F_{td}$] Additional tensile force [$kN$].

    EN 1992-1-1:2004 art.6.2.3(7) - Formula (6.18)

    Parameters
    ----------
    v_ed : KN
        [$V_{Ed}$] Design value of the shear force [$kN$].
    theta : DEG
        [$\theta$] Angle between the concrete compression strut and the beam axis perpendicular to the shear force [$degrees$].
    alpha : DEG
        [$\alpha$] Angle between shear reinforcement and the beam axis perpendicular to the shear force [$degrees$].
    """
    super().__init__()
    self.v_ed = v_ed
    self.theta = theta
    self.alpha = alpha

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_18.Form6Dot18AdditionalTensileForce.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.18.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_18.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.18."""
    return LatexFormula(
        return_symbol=r"\Delta F_{td}",
        result=f"{self:.{n}f}",
        equation=r"0.5 \cdot V_{Ed} \cdot \left(\cot(\theta) - \cot(\alpha)\right)",
        numeric_equation=rf"0.5 \cdot {self.v_ed:.{n}f} \cdot \left(\cot({self.theta:.{n}f}) - \cot({self.alpha:.{n}f})\right)",
        comparison_operator_label="=",
        unit="kN",
    )