Skip to content

formula_6_54

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_54

Formula 6.54 from EN 1992-1-1:2004: Chapter 6 - Ultimate Limit State.

Classes:

  • Form6Dot54ControlPerimeter –

    Class representing formula 6.54 for the calculation of the control perimeter at which shear reinforcement is not required.

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_54.Form6Dot54ControlPerimeter 

Form6Dot54ControlPerimeter(beta: DIMENSIONLESS, v_ed: N, v_rd_c: MPA, d: MM)

Bases: Formula

Class representing formula 6.54 for the calculation of the control perimeter at which shear reinforcement is not required.

[u_out,ef] Calculation of the control perimeter at which shear reinforcement is not required.

EN 1992-1-1:2004 art.6.5.4(4) - Formula (6.54)

Parameters:

  • beta (DIMENSIONLESS) –

    [\(\beta\)] Factor as per 6.4.3 (3), (4) and (5) [\(-\)].

  • v_ed (N) –

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

  • v_rd_c (MPA) –

    [\(v_{Rd,c}\)] Design shear strength of concrete [\(MPa\)].

  • d (MM) –

    [\(d\)] Effective depth of the slab [\(mm\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_54.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
def __init__(
    self,
    beta: DIMENSIONLESS,
    v_ed: N,
    v_rd_c: MPA,
    d: MM,
) -> None:
    r"""[u_out,ef] Calculation of the control perimeter at which shear reinforcement is not required.

    EN 1992-1-1:2004 art.6.5.4(4) - Formula (6.54)

    Parameters
    ----------
    beta : DIMENSIONLESS
        [$\beta$] Factor as per 6.4.3 (3), (4) and (5) [$-$].
    v_ed : N
        [$V_{Ed}$] Design shear force [$N$].
    v_rd_c : MPA
        [$v_{Rd,c}$] Design shear strength of concrete [$MPa$].
    d : MM
        [$d$] Effective depth of the slab [$mm$].
    """
    super().__init__()
    self.beta = beta
    self.v_ed = v_ed
    self.v_rd_c = v_rd_c
    self.d = d

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_54.Form6Dot54ControlPerimeter.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.54.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_54.py 
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.54."""
    _equation: str = r"\frac{\beta \cdot V_{Ed}}{v_{Rd,c} \cdot d}"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"\beta": f"{self.beta:.{n}f}",
            r"V_{Ed}": f"{self.v_ed:.{n}f}",
            r"v_{Rd,c}": f"{self.v_rd_c:.{n}f}",
            r" d": f" {self.d:.{n}f}",
        },
        False,
    )
    return LatexFormula(
        return_symbol=r"u_{out,ef}",
        result=f"{self:.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="=",
        unit="mm",
    )