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formula_8_21

codes.eurocode.en_1992_1_1_2004.chapter_8_detailing_of_reinforcement_and_prestressing_tendons.formula_8_21

Formula 8.21 from EN 1992-1-1:2004: Chapter 8: Detailing of reinforcement and prestressing tendons.

Classes:

  • Form8Dot21AnchorageLength –

    Class representing formula 8.21 for the calculation of anchorage length [\(l_{bpd}\)] [\(mm\)].

codes.eurocode.en_1992_1_1_2004.chapter_8_detailing_of_reinforcement_and_prestressing_tendons.formula_8_21.Form8Dot21AnchorageLength 

Form8Dot21AnchorageLength(
    l_pt2: MM,
    alpha_2: DIMENSIONLESS,
    diameter: MM,
    sigma_pd: MPA,
    sigma_pminf: MPA,
    f_bpd: MPA,
)

Bases: Formula

Class representing formula 8.21 for the calculation of anchorage length [\(l_{bpd}\)] [\(mm\)].

EN 1992-1-1:2004 art.8.10.2.3(4) - Formula (8.21)

Parameters:

  • l_pt2 (MM) –

    [\(l_{pt2}\)] is the upper design value of transmission length, see 8.10.2.2 (3) [\(mm\)].

  • alpha_2 (DIMENSIONLESS) –

    [\(\alpha_{2}\)] as defined in 8.10.2.2 (2) [\(-\)].

  • diameter (MM) –

    [\(Ø\)] Diameter of the tendon [\(mm\)].

  • sigma_pd (MPA) –

    [\(\sigma_{pd}\)] Is the tendon stress corresponding to the force described in art.8.10.2.3(1) [\(MPa\)].

  • sigma_pminf (MPA) –

    [\(\sigma_{pm\infty}\)] is the prestress after all losses [\(MPa\)].

  • f_bpd (MPA) –

    [\(f_{bpd}\)] Bond strength for anchorage in the ultimate limit state [\(MPa\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_8_detailing_of_reinforcement_and_prestressing_tendons/formula_8_21.py 
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def __init__(
    self,
    l_pt2: MM,
    alpha_2: DIMENSIONLESS,
    diameter: MM,
    sigma_pd: MPA,
    sigma_pminf: MPA,
    f_bpd: MPA,
) -> None:
    super().__init__()
    self.l_pt2 = l_pt2
    self.alpha_2 = alpha_2
    self.diameter = diameter
    self.sigma_pd = sigma_pd
    self.sigma_pminf = sigma_pminf
    self.f_bpd = f_bpd

codes.eurocode.en_1992_1_1_2004.chapter_8_detailing_of_reinforcement_and_prestressing_tendons.formula_8_21.Form8Dot21AnchorageLength.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 8.21.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_8_detailing_of_reinforcement_and_prestressing_tendons/formula_8_21.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 8.21."""
    return LatexFormula(
        return_symbol=r"l_{bpd}",
        result=f"{self:.{n}f}",
        equation=r"l_{pt2} + \alpha_{2} \cdot Ø \cdot \frac{\sigma_{pd} - \sigma_{pm\infty}}{f_{bpd}}",
        numeric_equation=rf"{self.l_pt2:.{n}f} + {self.alpha_2:.{n}f} \cdot {self.diameter:.{n}f} \cdot \frac{{{self.sigma_pd:.{n}f} - "
        rf"{self.sigma_pminf:.{n}f}}}{{{self.f_bpd:.{n}f}}}",
        comparison_operator_label="=",
    )