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formula_6_30

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_30

Formula 6.30 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_30.Form6Dot30DesignTorsionalResistanceMoment 

Form6Dot30DesignTorsionalResistanceMoment(
    nu: DIMENSIONLESS,
    alpha_cw: DIMENSIONLESS,
    f_cd: MPA,
    a_k: MM2,
    t_ef_i: MM,
    theta: DEG,
)

Bases: Formula

Class representing formula 6.30 for the calculation of the design torsional resistance moment, [\(T_{Rd,max}\)].

[\(T_{Rd,max}\)] Design torsional resistance moment [\(Nmm\)].

EN 1992-1-1:2004 art.6.2.3(4) - Formula (6.30)

Parameters:

  • nu (DIMENSIONLESS) –

    [\(\nu\)] Strength reduction factor for concrete cracked in shear, see 6.2.2 (6) [\(-\)].

  • alpha_cw (DIMENSIONLESS) –

    [\(\alpha_{cw}\)] Coefficient taking account of the state of the stress in the compression chord, see Expression (6.9) [\(-\)].

  • f_cd (MPA) –

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

  • a_k (MM2) –

    [\(A_{k}\)] Area enclosed by the centre-lines of the connecting walls, including inner hollow areas [\(mm^2\)].

  • t_ef_i (MM) –

    [\(t_{ef,i}\)] Effective wall thickness [\(mm\)].

  • theta (DEG) –

    [\(\theta\)] Angle of compression struts (see Figure 6.5) [\(degrees\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_30.py 
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def __init__(
    self,
    nu: DIMENSIONLESS,
    alpha_cw: DIMENSIONLESS,
    f_cd: MPA,
    a_k: MM2,
    t_ef_i: MM,
    theta: DEG,
) -> None:
    r"""[$T_{Rd,max}$] Design torsional resistance moment [$Nmm$].

    EN 1992-1-1:2004 art.6.2.3(4) - Formula (6.30)

    Parameters
    ----------
    nu : DIMENSIONLESS
        [$\nu$] Strength reduction factor for concrete cracked in shear, see 6.2.2 (6) [$-$].
    alpha_cw : DIMENSIONLESS
        [$\alpha_{cw}$] Coefficient taking account of the state of the stress in the compression chord, see Expression (6.9) [$-$].
    f_cd : MPA
        [$f_{cd}$] Design value of concrete compressive strength [$MPa$].
    a_k : MM2
        [$A_{k}$] Area enclosed by the centre-lines of the connecting walls, including inner hollow areas [$mm^2$].
    t_ef_i : MM
        [$t_{ef,i}$] Effective wall thickness [$mm$].
    theta : DEG
        [$\theta$] Angle of compression struts (see Figure 6.5) [$degrees$].
    """
    super().__init__()
    self.nu = nu
    self.alpha_cw = alpha_cw
    self.f_cd = f_cd
    self.a_k = a_k
    self.t_ef_i = t_ef_i
    self.theta = theta

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_30.Form6Dot30DesignTorsionalResistanceMoment.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.30.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_30.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.30."""
    return LatexFormula(
        return_symbol=r"T_{Rd,max}",
        result=f"{self:.{n}f}",
        equation=r"2 \cdot \nu \cdot \alpha_{cw} \cdot f_{cd} \cdot A_{k} \cdot t_{ef,i} \cdot \sin(\theta) \cdot \cos(\theta)",
        numeric_equation=rf"2 \cdot {self.nu:.{n}f} \cdot {self.alpha_cw:.{n}f} \cdot {self.f_cd:.{n}f} \cdot {self.a_k:.{n}f} "
        rf"\cdot {self.t_ef_i:.{n}f} \cdot \sin({self.theta:.{n}f}) \cdot \cos({self.theta:.{n}f})",
        comparison_operator_label="=",
        unit="Nmm",
    )