Skip to content

formula_5_41

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_41

Formula 5.41 from EN 1992-1-1:2004: Chapter 5 - Structural Analysis.

Classes:

  • Form5Dot41MaxForceTendon –

    Class representing formula 5.41 for the calculation of the maximum force applied to a tendon, [\(P_{max}\)].

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_41.Form5Dot41MaxForceTendon 

Form5Dot41MaxForceTendon(
    a_p: MM2, k_1: DIMENSIONLESS, f_pk: MPA, k_2: DIMENSIONLESS, f_p0_1k: MPA
)

Bases: Formula

Class representing formula 5.41 for the calculation of the maximum force applied to a tendon, [\(P_{max}\)].

[\(P_{max}\)] Maximum force applied to a tendon at active end [\(N\)].

EN 1992-1-1:2004 art.5.10.2.1(1) - Formula (5.41)

Parameters:

  • a_p (MM2) –

    [\(A_{p}\)] Cross-sectional area of the tendon [\(mm^2\)].

  • k_1 (DIMENSIONLESS) –

    [\(k_{1}\)] Coefficient for characteristic tensile strength, recommended value is 0.8 [\(-\)].

  • f_pk (MPA) –

    [\(f_{pk}\)] Characteristic tensile strength of the tendon [\(MPa\)].

  • k_2 (DIMENSIONLESS) –

    [\(k_{2}\)] Coefficient for 0.1% proof stress, recommended value is 0.9 [\(-\)].

  • f_p0_1k (MPA) –

    [\(f_{p0.1k}\)] 0.1% proof stress of the tendon [\(MPa\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_41.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
44
45
46
def __init__(
    self,
    a_p: MM2,
    k_1: DIMENSIONLESS,
    f_pk: MPA,
    k_2: DIMENSIONLESS,
    f_p0_1k: MPA,
) -> None:
    r"""[$P_{max}$] Maximum force applied to a tendon at active end [$N$].

    EN 1992-1-1:2004 art.5.10.2.1(1) - Formula (5.41)

    Parameters
    ----------
    a_p : MM2
        [$A_{p}$] Cross-sectional area of the tendon [$mm^2$].
    k_1 : DIMENSIONLESS
        [$k_{1}$] Coefficient for characteristic tensile strength, recommended value is 0.8 [$-$].
    f_pk : MPA
        [$f_{pk}$] Characteristic tensile strength of the tendon [$MPa$].
    k_2 : DIMENSIONLESS
        [$k_{2}$] Coefficient for 0.1% proof stress, recommended value is 0.9 [$-$].
    f_p0_1k : MPA
        [$f_{p0.1k}$] 0.1% proof stress of the tendon [$MPa$].
    """
    super().__init__()
    self.a_p = a_p
    self.k_1 = k_1
    self.f_pk = f_pk
    self.k_2 = k_2
    self.f_p0_1k = f_p0_1k

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_41.Form5Dot41MaxForceTendon.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 5.41.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_41.py 
67
68
69
70
71
72
73
74
75
76
def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 5.41."""
    return LatexFormula(
        return_symbol=r"P_{max}",
        result=f"{self:.{n}f}",
        equation=r"A_{p} \cdot \min(k_1 \cdot f_{pk}, k_2 \cdot f_{p0.1k})",
        numeric_equation=rf"{self.a_p:.{n}f} \cdot \min({self.k_1:.{n}f} \cdot {self.f_pk:.{n}f}, {self.k_2:.{n}f} \cdot {self.f_p0_1k:.{n}f})",
        comparison_operator_label="=",
        unit="N",
    )