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formula_5_4

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_4

Formula 5.4 from EN 1992-1-1:2004: Chapter 5 - Structural Analysis.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_4.Form5Dot4TransverseForceEffectBracingSystem 

Form5Dot4TransverseForceEffectBracingSystem(
    theta_i: DIMENSIONLESS, n_a: KN, n_b: KN
)

Bases: Formula

Class representing formula 5.4 for the calculation of the effect of the inclination on bracing systems, [\(H_{i}\)].

See Figure 5.1 b.

[\(H_{i}\)] Effect of the inclination on bracing systems [\(kN\)].

EN 1992-1-1:2004 art.5.2(8) - Formula (5.4)

Parameters:

  • theta_i (DIMENSIONLESS) –

    [\(Θ_{i}\)] Eccentricity, initial inclination imperfections [-].

  • n_a (KN) –

    [\(N_{a}\)] Axial force in the member [\(kN\)].

  • n_b (KN) –

    [\(N_{b}\)] Axial force in the member [\(kN\)].

Notes

where [\(N_{a}\)] and [\(N_{b}\)] are longitudinal forces contributing to [\(H_{i}\)]. Positive values for compression, tension is not allowed.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_4.py 
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def __init__(
    self,
    theta_i: DIMENSIONLESS,
    n_a: KN,
    n_b: KN,
) -> None:
    r"""[$H_{i}$] Effect of the inclination on bracing systems [$kN$].

    EN 1992-1-1:2004 art.5.2(8) - Formula (5.4)

    Parameters
    ----------
    theta_i : DIMENSIONLESS
        [$Θ_{i}$] Eccentricity, initial inclination imperfections [-].
    n_a : KN
        [$N_{a}$] Axial force in the member [$kN$].
    n_b : KN
        [$N_{b}$] Axial force in the member [$kN$].

    Notes
    -----
    where [$N_{a}$] and [$N_{b}$] are longitudinal forces contributing to [$H_{i}$].
    Positive values for compression, tension is not allowed.
    """
    super().__init__()
    self.theta_i = theta_i
    self.n_a = n_a
    self.n_b = n_b

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_4.Form5Dot4TransverseForceEffectBracingSystem.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 5.4.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_4.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 5.4."""
    return LatexFormula(
        return_symbol=r"H_{i}",
        result=f"{self:.{n}f}",
        equation=r"Θ_{i} \cdot (N_{b} - N_{a})",
        numeric_equation=rf"{self.theta_i:.{n}f} \cdot ({self.n_b:.{n}f} - {self.n_a:.{n}f})",
        comparison_operator_label="=",
    )