Skip to content

formula_6_24

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_24

Formula 6.24 from EN 1992-1-1:2004: Chapter 6 - Ultimate limit state.

Classes:

  • Form6Dot24DesignShearStress –

    Class representing formula 6.24 for the calculation of the design shear stress in the interface, [\(v_{Edi}\)].

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_24.Form6Dot24DesignShearStress 

Form6Dot24DesignShearStress(beta: DIMENSIONLESS, v_ed: N, z: MM, b_i: MM)

Bases: Formula

Class representing formula 6.24 for the calculation of the design shear stress in the interface, [\(v_{Edi}\)].

[\(v_{Edi}\)] Design shear stress in the interface [\(MPa\)].

EN 1992-1-1:2004 art.6.2.5(1) - Formula (6.24)

Parameters:

  • beta (DIMENSIONLESS) –

    [\(\beta\)] Ratio of the longitudinal force in the new concrete area and the total longitudinal force either in the compression or tension zone, both calculated for the section considered [\(-\)].

  • v_ed (N) –

    [\(V_{Ed}\)] Transverse shear force [\(N\)].

  • z (MM) –

    [\(z\)] Lever arm of composite section [\(mm\)].

  • b_i (MM) –

    [\(b_{i}\)] Width of the interface (see Figure 6.8) [\(mm\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_24.py 
16
17
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
def __init__(
    self,
    beta: DIMENSIONLESS,
    v_ed: N,
    z: MM,
    b_i: MM,
) -> None:
    r"""[$v_{Edi}$] Design shear stress in the interface [$MPa$].

    EN 1992-1-1:2004 art.6.2.5(1) - Formula (6.24)

    Parameters
    ----------
    beta : DIMENSIONLESS
        [$\beta$] Ratio of the longitudinal force in the new concrete area and the total longitudinal force either in
        the compression or tension zone, both calculated for the section considered [$-$].
    v_ed : N
        [$V_{Ed}$] Transverse shear force [$N$].
    z : MM
        [$z$] Lever arm of composite section [$mm$].
    b_i : MM
        [$b_{i}$] Width of the interface (see Figure 6.8) [$mm$].
    """
    super().__init__()
    self.beta = beta
    self.v_ed = v_ed
    self.z = z
    self.b_i = b_i

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_24.Form6Dot24DesignShearStress.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.24.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_24.py 
61
62
63
64
65
66
67
68
69
70
def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.24."""
    return LatexFormula(
        return_symbol=r"v_{Edi}",
        result=f"{self:.{n}f}",
        equation=r"\beta \cdot \frac{V_{Ed}}{z \cdot b_{i}}",
        numeric_equation=rf"{self.beta:.{n}f} \cdot \frac{{{self.v_ed:.{n}f}}}{{{self.z:.{n}f} \cdot {self.b_i:.{n}f}}}",
        comparison_operator_label="=",
        unit="MPa",
    )