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formula_7_4

codes.eurocode.en_1995_1_1_2004.chapter_7_serviceability_limit_states.formula_7_4

Formula 7.4 from EN 1995-1-1:2004.

Classes:

  • Form7Dot4VelocityResponseLimit –

    Class representing formula 7.4 for the calculation of the upper limit of the velocity response of a unit impulse load.

codes.eurocode.en_1995_1_1_2004.chapter_7_serviceability_limit_states.formula_7_4.Form7Dot4VelocityResponseLimit 

Form7Dot4VelocityResponseLimit(b: DIMENSIONLESS, f_1: HZ, ksi: DIMENSIONLESS)

Bases: Formula

Class representing formula 7.4 for the calculation of the upper limit of the velocity response of a unit impulse load.

[v_{limit}] Upper limit of the velocity response of a unit impulse load, in [\(m/(Ns^2)\)].

EN 1995-1-1:2004 art 7.3.3(2) - Formula (7.4)

Parameters:

  • f_1 (HZ) –

    [\(f_{1}\)] Natural frequency of rectangular floor, laid freely on all four sides [\(Hz\)].

  • b (DIMENSIONLESS) –

    [\(b\)] Dimensionless factor, taken as 120 in the Dutch National Annex [\(-\)].

  • ksi (DIMENSIONLESS) –

    [\(\xi\)] Modal damping factor [\(-\)].

Returns:

  • None –
Source code in blueprints/codes/eurocode/en_1995_1_1_2004/chapter_7_serviceability_limit_states/formula_7_4.py 
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def __init__(self, b: DIMENSIONLESS, f_1: HZ, ksi: DIMENSIONLESS) -> None:
    r"""[v_{limit}] Upper limit of the velocity response of a unit impulse load, in [$m/(Ns^2)$].

    EN 1995-1-1:2004 art 7.3.3(2) - Formula (7.4)

    Parameters
    ----------
    f_1 : HZ
        [$f_{1}$] Natural frequency of rectangular floor, laid freely on all four sides [$Hz$].
    b : DIMENSIONLESS
        [$b$] Dimensionless factor, taken as 120 in the Dutch National Annex [$-$].
    ksi : DIMENSIONLESS
        [$\xi$] Modal damping factor [$-$].

    Returns
    -------
    None
    """
    super().__init__()
    self.f_1 = f_1
    self.ksi = ksi
    self.b = b

codes.eurocode.en_1995_1_1_2004.chapter_7_serviceability_limit_states.formula_7_4.Form7Dot4VelocityResponseLimit.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 7.4.

Source code in blueprints/codes/eurocode/en_1995_1_1_2004/chapter_7_serviceability_limit_states/formula_7_4.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 7.4."""
    eq_for: str = r"b^{(f_1 \cdot \xi - 1)}"
    repl_symb = {
        "b": f"{self.b:.{n}f}",
        "f_1": f"{self.f_1:.{n}f}",
        r"\xi": f"{self.ksi:.{n}f}",
    }
    return LatexFormula(
        return_symbol=r"v_{lim}",
        result=f"{self:.{n}f}",
        equation=eq_for,
        numeric_equation=latex_replace_symbols(eq_for, repl_symb),
    )