Skip to content

formula_9_4

codes.eurocode.en_1992_1_1_2004.chapter_9_detailling_and_specific_rules.formula_9_4

Formula 9.4 from EN 1992-1-1:2004: Chapter 9 - Detailing of members and particular rules.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_9_detailling_and_specific_rules.formula_9_4.Form9Dot4ShearReinforcementRatio 

Form9Dot4ShearReinforcementRatio(a_sw: MM2, s: MM, b_w: MM, alpha: DEG)

Bases: Formula

Class representing the formula 9.4 for the calculation of the shear reinforcement ratio.

[\(\rho_w\)] Shear reinforcement ratio [\(-\)].

EN 1992-1-1:2004 art.9.2.2(5) - Formula (9.4)

Parameters:

  • a_sw (MM2) –

    [\(A_{sw}\)] Area of shear reinforcement within length s [\(mm^2\)].

  • s (MM) –

    [\(s\)] The spacing between shear reinforcement along the longitudinal axis of the element [\(mm\)].

  • b_w (MM) –

    [\(b_w\)] The width of the web of the element [\(mm\)].

  • alpha (DEG) –

    [\(\alpha\)] The angle between the shear reinforcement and the longitudinal axis of the beam (see 9.2.2(1)) [\(deg\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_9_detailling_and_specific_rules/formula_9_4.py 
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
def __init__(
    self,
    a_sw: MM2,
    s: MM,
    b_w: MM,
    alpha: DEG,
) -> None:
    r"""[$\rho_w$] Shear reinforcement ratio [$-$].

    EN 1992-1-1:2004 art.9.2.2(5) - Formula (9.4)

    Parameters
    ----------
    a_sw: MM2
        [$A_{sw}$] Area of shear reinforcement within length s [$mm^2$].
    s: MM
        [$s$] The spacing between shear reinforcement along the longitudinal axis of the element [$mm$].
    b_w: MM
        [$b_w$] The width of the web of the element [$mm$].
    alpha: DEG
        [$\alpha$] The angle between the shear reinforcement and the longitudinal axis of the beam (see 9.2.2(1)) [$deg$].
    """
    super().__init__()
    self.a_sw = a_sw
    self.s = s
    self.b_w = b_w
    self.alpha = alpha

codes.eurocode.en_1992_1_1_2004.chapter_9_detailling_and_specific_rules.formula_9_4.Form9Dot4ShearReinforcementRatio.latex 

latex(n: int = 2) -> LatexFormula

Returns LatexFormula object for formula 9.4.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_9_detailling_and_specific_rules/formula_9_4.py 
62
63
64
65
66
67
68
69
70
def latex(self, n: int = 2) -> LatexFormula:
    """Returns LatexFormula object for formula 9.4."""
    return LatexFormula(
        return_symbol=r"\rho_w",
        result=f"{self:.6f}",
        equation=r"\frac{A_{sw}}{s \cdot b_w \cdot sin(\alpha)}",
        numeric_equation=rf"\frac{{{self.a_sw:.{n}f}}}{{{self.s:.{n}f} \cdot {self.b_w:.{n}f} \cdot sin({self.alpha:.{n}f})}}",
        comparison_operator_label="=",
    )