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formula_5_3a

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_3a

Formula 5.3a from EN 1992-1-1:2004: Chapter 5 - Structural Analysis.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_3a.Form5Dot3aTransverseForceUnbracedMembers 

Form5Dot3aTransverseForceUnbracedMembers(
    theta_i: DIMENSIONLESS, n_axial_force: KN
)

Bases: Formula

Class representing formula 5.3a for the calculation of the transverse force for unbraced members, [\(H_{i}\)].

See Figure 5.1 a1.

[\(H_{i}\)] Transverse force for unbraced members [\(kN\)].

EN 1992-1-1:2004 art.5.2(7) - Formula (5.3a)

Parameters:

  • theta_i (DIMENSIONLESS) –

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

    Use your own implementation of this value or use the :class:Form5Dot1Imperfections class.

  • n_axial_force (KN) –

    [\(N\)] Axial force [\(kN\)].

    Positive values for compression, tension is not allowed.

Notes

Eccentricity is suitable for statically determinate members, whereas transverse load can be used for both determinate and indeterminate members. The force [\(H_{i}\)] may be substituted by some other equivalent transverse action.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_3a.py 
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def __init__(
    self,
    theta_i: DIMENSIONLESS,
    n_axial_force: KN,
) -> None:
    r"""[$H_{i}$] Transverse force for unbraced members [$kN$].

    EN 1992-1-1:2004 art.5.2(7) - Formula (5.3a)

    Parameters
    ----------
    theta_i : DIMENSIONLESS
        [$\Theta_{i}$] Eccentricity, initial inclination imperfections [-].

        Use your own implementation of this value or use the :class:`Form5Dot1Imperfections` class.
    n_axial_force : KN
        [$N$] Axial force [$kN$].

        Positive values for compression, tension is not allowed.

    Notes
    -----
    Eccentricity is suitable for statically determinate members, whereas transverse load can be used for
    both determinate and indeterminate members. The force [$H_{i}$] may be substituted by some other equivalent
    transverse action.
    """
    super().__init__()
    self.theta_i = theta_i
    self.n_axial_force = n_axial_force

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_3a.Form5Dot3aTransverseForceUnbracedMembers.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 5.3a.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_3a.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 5.3a."""
    return LatexFormula(
        return_symbol=r"H_i",
        result=f"{self:.{n}f}",
        equation=r"\theta_i \cdot N",
        numeric_equation=rf"{self.theta_i:.{n}f} \cdot {self.n_axial_force:.{n}f}",
        comparison_operator_label="=",
    )