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formula_7_3

codes.eurocode.en_1995_1_1_2004.chapter_7_serviceability_limit_states.formula_7_3

Formula 7.3 from EN 1995-1-1:2004.

Classes:

codes.eurocode.en_1995_1_1_2004.chapter_7_serviceability_limit_states.formula_7_3.Form7Dot3RatioDeflectionPointLoadUC 

Form7Dot3RatioDeflectionPointLoadUC(w: MM, f: KN, alpha: MM_KN)

Bases: Formula

Class representing formula 7.3 for the calculation of ratio between maximum instantaneous vertical deflection due to vertical static point load F and the applied force F.

[\frac{w/F}{\alpha}] Unity check of ratio between maximum instantaneous vertical deflection caused by a vertical static point load F and the applied force F.

EN 1995-1-1:2004 art 7.3.3(2) - Formula (7.3)

Parameters:

  • w (MM) –

    [\(w\)] is the maximum instantaneous vertical deflection caused by a vertical static point load F [\(mm\)].

  • f (KN) –

    [\(F\)] Vertical static point load F that can engage in any point of the floor [\(kN\)].

  • alpha (MM_KN) –

    [\(\alpha\)] Limit of ratio between instantaneous deflection and point load (equal to 1 according to Dutch National Annex) [\(mm/kN\)].

Returns:

  • None –
Source code in blueprints/codes/eurocode/en_1995_1_1_2004/chapter_7_serviceability_limit_states/formula_7_3.py 
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def __init__(self, w: MM, f: KN, alpha: MM_KN) -> None:
    r"""
    [\frac{w/F}{\alpha}] Unity check of ratio between maximum instantaneous vertical deflection caused by a
    vertical static point load F and the applied force F.

    EN 1995-1-1:2004 art 7.3.3(2) - Formula (7.3)

    Parameters
    ----------
    w : MM
        [$w$] is the maximum instantaneous vertical deflection caused by a vertical static point load F [$mm$].
    f : KN
        [$F$] Vertical static point load F that can engage in any point of the floor [$kN$].
    alpha : MM_KN
        [$\alpha$] Limit of ratio between instantaneous deflection and point load (equal to 1 according to Dutch National Annex) [$mm/kN$].

    Returns
    -------
    None
    """
    super().__init__()
    self.w = w
    self.f = f
    self.alpha = alpha

codes.eurocode.en_1995_1_1_2004.chapter_7_serviceability_limit_states.formula_7_3.Form7Dot3RatioDeflectionPointLoadUC.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 7.3.

Source code in blueprints/codes/eurocode/en_1995_1_1_2004/chapter_7_serviceability_limit_states/formula_7_3.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 7.3."""
    eq_for: str = r"\frac{w/F}{\alpha}"
    repl_symb = {
        "w": f"{self.w:.{n}f}",
        "F": f"{self.f:.{n}f}",
        r"\alpha": f"{self.alpha:.{n}f}",
    }
    return LatexFormula(
        return_symbol=r"UC",
        result=f"{self:.{n}f}",
        equation=eq_for,
        numeric_equation=latex_replace_symbols(eq_for, repl_symb),
    )