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formula_7_6

codes.eurocode.en_1995_1_1_2004.chapter_7_serviceability_limit_states.formula_7_6

Formula 7.6 from EN 1995-1-1:2004.

Classes:

  • Form7Dot6VelocityResponse –

    Class representing formula 7.6 for the calculation of velocity response [\(v\)] of a unit impulse load.

codes.eurocode.en_1995_1_1_2004.chapter_7_serviceability_limit_states.formula_7_6.Form7Dot6VelocityResponse 

Form7Dot6VelocityResponse(n_40: HZ, m: KG_M2, length: M, b: M)

Bases: Formula

Class representing formula 7.6 for the calculation of velocity response [\(v\)] of a unit impulse load.

[\(v\)] The velocity response of a unit impulse load, in [\(m/(Ns^2)\)].

EN 1995-1-1:2004 art 7.3.3(5) - Formula (7.6)

Parameters:

  • n_40 (HZ) –

    [\(n_{40}\)] Number of first-order vibrations with a natural frequency less than 40 Hz [\(Hz\)].

  • m (KG_M2) –

    [\(m\)] Mass per unit area [\(kg/m^{2}\)].

  • length (M) –

    [\(l\)] Span of the floor [\(m\)].

  • b (M) –

    [\(b\)] Width of the floor [\(m\)].

Returns:

  • None –
Source code in blueprints/codes/eurocode/en_1995_1_1_2004/chapter_7_serviceability_limit_states/formula_7_6.py 
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def __init__(self, n_40: HZ, m: KG_M2, length: M, b: M) -> None:
    r"""[$v$] The velocity response of a unit impulse load, in [$m/(Ns^2)$].

    EN 1995-1-1:2004 art 7.3.3(5) - Formula (7.6)

    Parameters
    ----------
    n_40 : HZ
        [$n_{40}$] Number of first-order vibrations with a natural frequency less than 40 Hz [$Hz$].
    m : KG_M2
        [$m$] Mass per unit area [$kg/m^{2}$].
    length : M
        [$l$] Span of the floor [$m$].
    b : M
        [$b$] Width of the floor [$m$].

    Returns
    -------
    None
    """
    super().__init__()
    self.n_40 = n_40
    self.m = m
    self.length = length
    self.b = b

codes.eurocode.en_1995_1_1_2004.chapter_7_serviceability_limit_states.formula_7_6.Form7Dot6VelocityResponse.latex 

latex(n: int = 2) -> LatexFormula

Returns LatexFormula object for formula 7.6.

Source code in blueprints/codes/eurocode/en_1995_1_1_2004/chapter_7_serviceability_limit_states/formula_7_6.py 
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def latex(self, n: int = 2) -> LatexFormula:
    """Returns LatexFormula object for formula 7.6."""
    eq_form: str = r"\frac{4 \cdot (0.4 + 0.6 \cdot n_{40})}{m \cdot b \cdot l + 200}"
    repl_symb = {"n_{40}": f"{self.n_40:.{n}f}", "m": f"{self.m:.{n}f}", "l": f"{self.length:.{n}f}", "b": f"{self.b:.{n}f}"}
    return LatexFormula(
        return_symbol=r"v",
        result=f"{self:.{n + 1}f}",
        equation=eq_form,
        numeric_equation=latex_replace_symbols(eq_form, repl_symb),
        comparison_operator_label="=",
    )