Skip to content

formula_e_3

codes.eurocode.en_1995_1_1_2023.appendix_e.formula_e_3

Formula E.3 from EN 1995-1-1:2023.

Classes:

codes.eurocode.en_1995_1_1_2023.appendix_e.formula_e_3.FormEDot3DistanceCentroidAlpha1 

FormEDot3DistanceCentroidAlpha1(h_1: MM, h_2: MM, alpha_2: MM)

Bases: Formula

Class representing formula E.3 for the distance between the centroid of the composite cross-section and the centroid of the 1st layer of the cross-section.

[\(\alpha_1\)] 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.3)

Parameters:

  • h_1 (MM) –

    [\(h_1\)] Depth of the 1st part of the cross-section [\(mm\)].

  • h_2 (MM) –

    [\(h_2\)] Depth of the 2nd 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_3.py 
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
def __init__(self, h_1: MM, h_2: MM, alpha_2: MM) -> None:
    r"""[$\alpha_1$] 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.3)

    Parameters
    ----------
    h_1 : MM
        [$h_1$] Depth of the 1st part of the cross-section [$mm$].
    h_2 : MM
        [$h_2$] Depth of the 2nd 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_1 = h_1
    self.h_2 = h_2
    self.alpha_2 = alpha_2

codes.eurocode.en_1995_1_1_2023.appendix_e.formula_e_3.FormEDot3DistanceCentroidAlpha1.latex 

latex(n: int = 2) -> LatexFormula

Returns LatexFormula object for formula E.3.

Source code in blueprints/codes/eurocode/en_1995_1_1_2023/appendix_e/formula_e_3.py 
49
50
51
52
53
54
55
56
57
def latex(self, n: int = 2) -> LatexFormula:
    """Returns LatexFormula object for formula E.3."""
    eq_i = r"\frac{h_1 + h_2}{2} - \alpha_2"

    repl_symb = {r"h_1": rf"{self.h_1:.{n}f}", r"h_2": rf"{self.h_2:.{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_1", result=f"{self:.{n}f}", equation=eq_i, numeric_equation=numeric_eq, comparison_operator_label="="
    )