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formula_6_38

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_38

Formula 6.38 from EN 1992-1-1:2004: Chapter 6 - Ultimate limit state.

Classes:

  • Form6Dot38MaxShearStress –

    Class representing formula 6.38 for the calculation of the maximum shear stress, [\(v_{Ed}\)].

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_38.Form6Dot38MaxShearStress 

Form6Dot38MaxShearStress(beta: DIMENSIONLESS, v_ed: N, u_i: MM, d: MM)

Bases: Formula

Class representing formula 6.38 for the calculation of the maximum shear stress, [\(v_{Ed}\)].

[\(v_{Ed}\)] Maximum shear stress [\(MPa\)].

EN 1992-1-1:2004 art.6.4.3(3) - Formula (6.38)

Parameters:

  • beta (DIMENSIONLESS) –

    [\(\beta\)] Factor which depends on the distribution of the support reaction, see equation 6.39.

  • v_ed (N) –

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

  • u_i (MM) –

    [\(u_{i}\)] Length of the control perimeter being considered [\(mm\)].

  • d (MM) –

    [\(d\)] Mean effective depth of the slab, which may be taken as (dy + dz)/2 [\(mm\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_38.py 
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def __init__(
    self,
    beta: DIMENSIONLESS,
    v_ed: N,
    u_i: MM,
    d: MM,
) -> None:
    r"""[$v_{Ed}$] Maximum shear stress [$MPa$].

    EN 1992-1-1:2004 art.6.4.3(3) - Formula (6.38)

    Parameters
    ----------
    beta : DIMENSIONLESS
        [$\beta$] Factor which depends on the distribution of the support reaction, see equation 6.39.
    v_ed : N
        [$V_{Ed}$] Design value of the shear force [$N$].
    u_i : MM
        [$u_{i}$] Length of the control perimeter being considered [$mm$].
    d : MM
        [$d$] Mean effective depth of the slab, which may be taken as (dy + dz)/2 [$mm$].
    """
    super().__init__()
    self.beta = beta
    self.v_ed = v_ed
    self.u_i = u_i
    self.d = d

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_38.Form6Dot38MaxShearStress.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.38.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_38.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.38."""
    return LatexFormula(
        return_symbol=r"v_{Ed}",
        result=f"{self:.{n}f}",
        equation=r"\beta \cdot \frac{V_{Ed}}{u_{i} \cdot d}",
        numeric_equation=rf"{self.beta:.{n}f} \cdot \frac{{{self.v_ed:.{n}f}}}{{{self.u_i:.{n}f} \cdot {self.d:.{n}f}}}",
        comparison_operator_label="=",
        unit="MPa",
    )