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formula_e_5

codes.eurocode.en_1995_1_1_2023.appendix_e.formula_e_5

Formula E.5 from EN 1995-1-1:2023.

Classes:

codes.eurocode.en_1995_1_1_2023.appendix_e.formula_e_5.FormEDot5DistanceCentroidAlpha3 

FormEDot5DistanceCentroidAlpha3(h_2: MM, h_3: MM, alpha_2: MM)

Bases: Formula

Class representing formula E.5 for the distances between the centroid of the composite cross-section and the centroids of i-numbered parts of the cross-section.

[\(\alpha_3\)] Distance between the centroid of the composite cross-section and the centroid of layer 1 of the cross-section.

EN 1995-1-1:2023 art E.4(1) - Formula (E.5)

Parameters:

  • h_2 (MM) –

    [\(h_2\)] Depth of the 2nd part of the cross-section [\(mm\)].

  • h_3 (MM) –

    [\(h_3\)] Depth of the 3rd part of the cross-section [\(mm\)].

  • alpha_2 (MM) –

    [\(\alpha_2\)] Distance between the centroid of the composite cross-section and the centroid of layer 2 of the cross-section.

Returns:

  • None –
Source code in blueprints/codes/eurocode/en_1995_1_1_2023/appendix_e/formula_e_5.py 
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def __init__(self, h_2: MM, h_3: MM, alpha_2: MM) -> None:
    r"""[$\alpha_3$] Distance between the centroid of the composite cross-section and the centroid of layer 1 of the cross-section.

    EN 1995-1-1:2023 art E.4(1) - Formula (E.5)

    Parameters
    ----------
    h_2 : MM
        [$h_2$] Depth of the 2nd part of the cross-section [$mm$].
    h_3 : MM
        [$h_3$] Depth of the 3rd part of the cross-section [$mm$].
    alpha_2 : MM
        [$\alpha_2$] Distance between the centroid of the composite cross-section and the centroid of layer 2 of the cross-section.

    Returns
    -------
    None
    """
    super().__init__()
    self.h_2 = h_2
    self.h_3 = h_3
    self.alpha_2 = alpha_2

codes.eurocode.en_1995_1_1_2023.appendix_e.formula_e_5.FormEDot5DistanceCentroidAlpha3.latex 

latex(n: int = 2) -> LatexFormula

Returns LatexFormula object for formula E.5.

Source code in blueprints/codes/eurocode/en_1995_1_1_2023/appendix_e/formula_e_5.py 
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def latex(self, n: int = 2) -> LatexFormula:
    """Returns LatexFormula object for formula E.5."""
    eq_i = r"\frac{h_2 + h_3}{2} - \alpha_2"

    repl_symb = {r"h_2": rf"{self.h_2:.{n}f}", r"h_3": rf"{self.h_3:.{n}f}", r"\alpha_2": rf"\left({self.alpha_2:.{n}f}\right)"}
    numeric_eq = latex_replace_symbols(eq_i, repl_symb)
    return LatexFormula(
        return_symbol=r"\alpha_3", result=f"{self:.{n}f}", equation=eq_i, numeric_equation=numeric_eq, comparison_operator_label="="
    )