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formula_6_49

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_49

Formula 6.49 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_49.Form6Dot49AppliedPunchingShearStress 

Form6Dot49AppliedPunchingShearStress(v_ed_red: N, u: MM, d: MM)

Bases: Formula

Class representing formula 6.49 for the calculation of applied punching shear stress [\(v_{Ed}\)] of slabs and column bases without shear reinforcement.

[\(v_{Ed}\)] Calculation of applied punching shear stress [\(v_{Ed}\)] of slabs and column bases without shear reinforcement.

EN 1992-1-1:2004 art.6.4.4(2) - Formula (6.49)

Parameters:

  • v_ed_red (N) –

    [\(V_{Ed,red}\)] Net applied punching force [\(N\)].

  • u (MM) –

    [\(u\)] Punching perimeter [\(mm\)].

  • d (MM) –

    [\(d\)] Effective depth [\(mm\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_49.py 
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def __init__(
    self,
    v_ed_red: N,
    u: MM,
    d: MM,
) -> None:
    r"""[$v_{Ed}$] Calculation of applied punching shear stress [$v_{Ed}$] of slabs and column bases without shear reinforcement.

    EN 1992-1-1:2004 art.6.4.4(2) - Formula (6.49)

    Parameters
    ----------
    v_ed_red : N
        [$V_{Ed,red}$] Net applied punching force [$N$].
    u : MM
        [$u$] Punching perimeter [$mm$].
    d : MM
        [$d$] Effective depth [$mm$].
    """
    super().__init__()
    self.v_ed_red = v_ed_red
    self.u = u
    self.d = d

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_49.Form6Dot49AppliedPunchingShearStress.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.49.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_49.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.49."""
    _equation: str = r"\frac{V_{Ed,red}}{u \cdot d}"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"V_{Ed,red}": f"{self.v_ed_red:.{n}f}",
            r"u": f"{self.u:.{n}f}",
            r" d": f" {self.d:.{n}f}",
        },
        False,
    )
    return LatexFormula(
        return_symbol=r"v_{Ed}",
        result=f"{self:.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="=",
        unit="MPa",
    )