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formula_6_48

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_48

Formula 6.48 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_48.Form6Dot48NetAppliedPunchingForce 

Form6Dot48NetAppliedPunchingForce(v_ed: N, delta_v_ed: N)

Bases: Formula

Class representing formula 6.48 for the calculation of net applied punching force [\(V_{Ed,red}\)] of slabs and column bases without shear reinforcement.

[\(V_{Ed,red}\)] Calculation of net applied punching force of slabs and column bases without shear reinforcement.

EN 1992-1-1:2004 art.6.4.4(2) - Formula (6.48)

Parameters:

  • v_ed (N) –

    [\(V_{Ed}\)] Applied shear force [\(N\)].

  • delta_v_ed (N) –

    [\(\Delta V_{Ed}\)] Net upward force within the control perimeter considered [\(N\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_48.py 
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def __init__(
    self,
    v_ed: N,
    delta_v_ed: N,
) -> None:
    r"""[$V_{Ed,red}$] Calculation of net applied punching force of slabs and column bases without shear reinforcement.

    EN 1992-1-1:2004 art.6.4.4(2) - Formula (6.48)

    Parameters
    ----------
    v_ed : N
        [$V_{Ed}$] Applied shear force [$N$].
    delta_v_ed : N
        [$\Delta V_{Ed}$] Net upward force within the control perimeter considered [$N$].
    """
    super().__init__()
    self.v_ed = v_ed
    self.delta_v_ed = delta_v_ed

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_48.Form6Dot48NetAppliedPunchingForce.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.48.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_48.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.48."""
    _equation: str = r"V_{Ed} - \Delta V_{Ed}"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"\Delta V_{Ed}": f"{self.delta_v_ed:.{n}f}",
            r"V_{Ed}": f"{self.v_ed:.{n}f}",
        },
        False,
    )
    return LatexFormula(
        return_symbol=r"V_{Ed,red}",
        result=f"{self._evaluate(self.v_ed, self.delta_v_ed):.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="=",
        unit="N",
    )