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formula_6_26

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_26

Formula 6.26 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_26.Form6Dot26ShearStressInWall 

Form6Dot26ShearStressInWall(t_ed: NMM, a_k: MM2)

Bases: Formula

Class representing formula 6.26 for the calculation of the shear stress in a wall of a section subject to a pure torsional moment multiplied with the effective thickness [\(\tau_{t,i}t_{ef,i}\)].

[\(\tau_{t,i}t_{ef,i}\)] Shear stress in a wall of a section subject to a pure torsional moment multiplied with the effective thickness [\(N/m\)].

EN 1992-1-1:2004 art.6.3.2(1) - Formula (6.26)

Parameters:

  • t_ed (NMM) –

    [\(T_{Ed}\)] Applied design torsion [\(Nmm\)].

  • a_k (MM2) –

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

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_26.py 
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def __init__(
    self,
    t_ed: NMM,
    a_k: MM2,
) -> None:
    r"""[$\tau_{t,i}t_{ef,i}$] Shear stress in a wall of a section subject to a pure torsional moment multiplied with the
    effective thickness [$N/m$].

    EN 1992-1-1:2004 art.6.3.2(1) - Formula (6.26)

    Parameters
    ----------
    t_ed : NMM
        [$T_{Ed}$] Applied design torsion [$Nmm$].
    a_k : MM2
        [$A_k$] Area enclosed by the centre-lines of the connecting walls, including inner hollow areas [$mm^2$].
    """
    super().__init__()
    self.t_ed = t_ed
    self.a_k = a_k

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_26.Form6Dot26ShearStressInWall.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.26.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_26.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.26."""
    return LatexFormula(
        return_symbol=r"\tau_{t,i}t_{ef,i}",
        result=f"{self:.{n}f}",
        equation=r"\frac{T_{Ed}}{2 \cdot A_{k}}",
        numeric_equation=rf"\frac{{{self.t_ed:.{n}f}}}{{2 \cdot {self.a_k:.{n}f}}}",
        comparison_operator_label="=",
        unit="N/mm",
    )