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formula_5_43

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_43

Formula 5.43 from EN 1992-1-1:2004: Chapter 5 - Structural Analysis.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_43.Form5Dot43InitialPrestressForce 

Form5Dot43InitialPrestressForce(
    a_p: MM2, k_7: DIMENSIONLESS, f_pk: MPA, k_8: DIMENSIONLESS, f_p0_1k: MPA
)

Bases: Formula

Class representing formula 5.43 for the calculation of the initial prestress force, [\(P_{m0}(x)\)].

[\(P_{m0}(x)\)] Initial prestress force [\(N\)].

EN 1992-1-1:2004 art.5.10.3(2) - Formula (5.43)

Parameters:

  • a_p (MM2) –

    [\(A_{p}\)] Area of prestressing steel [\(mm^2\)].

  • k_7 (DIMENSIONLESS) –

    [\(k_{7}\)] Coefficient for characteristic tensile strength, recommended value is 0.75 [\(-\)].

  • f_pk (MPA) –

    [\(f_{pk}\)] Characteristic tensile strength of prestressing steel [\(MPa\)].

  • k_8 (DIMENSIONLESS) –

    [\(k_{8}\)] Coefficient for 0.1% proof stress, recommended value is 0.85 [\(-\)].

  • f_p0_1k (MPA) –

    [\(f_{p0,1k}\)] 0.1% proof stress of prestressing steel [\(MPa\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_43.py 
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def __init__(
    self,
    a_p: MM2,
    k_7: DIMENSIONLESS,
    f_pk: MPA,
    k_8: DIMENSIONLESS,
    f_p0_1k: MPA,
) -> None:
    r"""[$P_{m0}(x)$] Initial prestress force [$N$].

    EN 1992-1-1:2004 art.5.10.3(2) - Formula (5.43)

    Parameters
    ----------
    a_p : MM2
        [$A_{p}$] Area of prestressing steel [$mm^2$].
    k_7 : DIMENSIONLESS
        [$k_{7}$] Coefficient for characteristic tensile strength, recommended value is 0.75 [$-$].
    f_pk : MPA
        [$f_{pk}$] Characteristic tensile strength of prestressing steel [$MPa$].
    k_8 : DIMENSIONLESS
        [$k_{8}$] Coefficient for 0.1% proof stress, recommended value is 0.85 [$-$].
    f_p0_1k : MPA
        [$f_{p0,1k}$] 0.1% proof stress of prestressing steel [$MPa$].
    """
    super().__init__()
    self.a_p = a_p
    self.k_7 = k_7
    self.f_pk = f_pk
    self.k_8 = k_8
    self.f_p0_1k = f_p0_1k

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_43.Form5Dot43InitialPrestressForce.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 5.43.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_43.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 5.43."""
    return LatexFormula(
        return_symbol=r"P_{m0}(x)",
        result=f"{self:.{n}f}",
        equation=r"A_{p} \cdot \min \left(k_7 \cdot f_{pk} ; k_8 \cdot f_{p0.1k} \right)",
        numeric_equation=rf"{self.a_p:.{n}f} \cdot \min \left({self.k_7:.{n}f} \cdot {self.f_pk:.{n}f} ;"
        rf" {self.k_8:.{n}f} \cdot {self.f_p0_1k:.{n}f} \right)",
        comparison_operator_label="=",
        unit="N",
    )