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formula_5_47

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_47

Formula 5.47 from EN 1992-1-1:2004: Chapter 5 - Structural Analysis.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_47.Form5Dot47UpperCharacteristicPrestressingValue 

Form5Dot47UpperCharacteristicPrestressingValue(r_sup: DIMENSIONLESS, p_m_t: KN)

Bases: Formula

Class representing formula 5.47 for the calculation of the upper characteristic value for the prestressing value at SLS and Fatigue, [\(P_{k,sup}\)].

[\(P_{k,sup}\)] Upper characteristic value for the prestressing value at SLS and Fatigue [\(kN\)].

EN 1992-1-1:2004 art.5.10.9(1) - Formula (5.47)

Parameters:

  • r_sup (DIMENSIONLESS) –

    [\(r_{sup}\)] Factor for the upper characteristic value, recommended value is 1.05 for pre-tensioning or unbounded tendons, 1.10 for post-tensioning with bonded tendons. When appropriate measures are taken: 1.0 [\(-\)].

  • p_m_t (KN) –

    [\(P_{m,t}(x)\)] Mean value of the prestressing force at location x [\(kN\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_47.py 
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def __init__(
    self,
    r_sup: DIMENSIONLESS,
    p_m_t: KN,
) -> None:
    r"""[$P_{k,sup}$] Upper characteristic value for the prestressing value at SLS and Fatigue [$kN$].

    EN 1992-1-1:2004 art.5.10.9(1) - Formula (5.47)

    Parameters
    ----------
    r_sup : DIMENSIONLESS
        [$r_{sup}$] Factor for the upper characteristic value, recommended value is 1.05 for pre-tensioning or unbounded tendons,
         1.10 for post-tensioning with bonded tendons. When appropriate measures are taken: 1.0 [$-$].
    p_m_t : KN
        [$P_{m,t}(x)$] Mean value of the prestressing force at location x [$kN$].
    """
    super().__init__()
    self.r_sup = r_sup
    self.p_m_t = p_m_t

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_47.Form5Dot47UpperCharacteristicPrestressingValue.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 5.47.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_47.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 5.47."""
    return LatexFormula(
        return_symbol=r"P_{k,sup}",
        result=f"{self:.{n}f}",
        equation=r"r_{sup} \cdot P_{m,t}(x)",
        numeric_equation=rf"{self.r_sup:.{n}f} \cdot {self.p_m_t:.{n}f}",
        comparison_operator_label="=",
        unit="kN",
    )