Skip to content

formula_7_17

codes.eurocode.en_1992_1_1_2004.chapter_7_serviceability_limit_state.formula_7_17

Formula 7.17 from EN 1992-1-1:2004: Chapter 7 - Serviceability limit state (SLS).

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_7_serviceability_limit_state.formula_7_17.Form7Dot1MultiplicationFactorLimitSlenderness 

Form7Dot1MultiplicationFactorLimitSlenderness(
    f_yk: N, a_s_req: MM2, a_s_prov: MM2
)

Bases: Formula

Class representing formula 7.17 for the calculation of the stress multiplication factor for the limit span to depth ratio.

[\(\frac{310}{\sigma_s}\)] Calculation of the multiplication factor [\(-\)].

EN 1992-1-1:2004 art.7.4.2(2) - Formula (7.17)

Parameters:

  • f_yk (MPa) –

    [\(f_{yk}\)] Characteristic yield strength of the steel [\(MPa\)].

  • a_s_req (MM2) –

    [\(A_{s,req}\)] Area of steel required at this section for ultimate limit state [\(mm^2\)].

  • a_s_prov (MM2) –

    [\(A_{s,prov}\)] Area of steel provided at this section [\(mm^2\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_7_serviceability_limit_state/formula_7_17.py 
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
def __init__(
    self,
    f_yk: N,
    a_s_req: MM2,
    a_s_prov: MM2,
) -> None:
    r"""[$\frac{310}{\sigma_s}$] Calculation of the multiplication factor [$-$].

    EN 1992-1-1:2004 art.7.4.2(2) - Formula (7.17)

    Parameters
    ----------
    f_yk : MPa
        [$f_{yk}$] Characteristic yield strength of the steel [$MPa$].
    a_s_req : MM2
        [$A_{s,req}$] Area of steel required at this section for ultimate limit state [$mm^2$].
    a_s_prov : MM2
        [$A_{s,prov}$] Area of steel provided at this section [$mm^2$].
    """
    super().__init__()
    self.f_yk = f_yk
    self.a_s_req = a_s_req
    self.a_s_prov = a_s_prov

codes.eurocode.en_1992_1_1_2004.chapter_7_serviceability_limit_state.formula_7_17.Form7Dot1MultiplicationFactorLimitSlenderness.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 7.17.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_7_serviceability_limit_state/formula_7_17.py 
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 7.17."""
    _equation: str = r"\frac{500}{f_{yk} \cdot \frac{A_{s,req}}{A_{s,prov}}}"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"f_{yk}": f"{self.f_yk:.{n}f}",
            r"A_{s,req}": f"{self.a_s_req:.{n}f}",
            r"A_{s,prov}": f"{self.a_s_prov:.{n}f}",
        },
        False,
    )
    return LatexFormula(
        return_symbol=r"\frac{310}{\sigma_s}",
        result=f"{self:.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="=",
        unit="-",
    )