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formula_8_3

codes.eurocode.en_1992_1_1_2004.chapter_8_detailing_of_reinforcement_and_prestressing_tendons.formula_8_3

Formula 8.3 from EN 1992-1-1:2004: Chapter 8: Detailing of reinforcement and prestressing tendons.

Classes:

  • Form8Dot3RequiredAnchorageLength –

    Class representing formula 8.3 for the calculation of the basic required anchorage length, assuming constant bond stress [\(f_{bd}\)].

codes.eurocode.en_1992_1_1_2004.chapter_8_detailing_of_reinforcement_and_prestressing_tendons.formula_8_3.Form8Dot3RequiredAnchorageLength 

Form8Dot3RequiredAnchorageLength(diameter: MM, sigma_sd: MPA, f_bd: MPA)

Bases: Formula

Class representing formula 8.3 for the calculation of the basic required anchorage length, assuming constant bond stress [\(f_{bd}\)].

[\(l_{b,rqd}\)] Basic required anchorage length, for anchoring the force [\(A_{s} \cdot \sigma_{sd}\)] in a straight bar assuming constant bond stress [\(f_{bd}\)]. [mm].

EN 1992-1-1:2004 art.8.4.3(2) - Formula (8.3)

Parameters:

  • diameter (MM) –

    [\(Ø\)] Diameter of the bar [mm].

  • sigma_sd (MPA) –

    [\(\sigma_{sd}\)] design stress of the bar at the position from where the anchorage is measured from [MPa].

  • f_bd (MPA) –

    [\(f_{bd}\)] Design value ultimate bond stress [MPa]. Use your own implementation for this value or use the Form8Dot2UltimateBondStress class.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_8_detailing_of_reinforcement_and_prestressing_tendons/formula_8_3.py 
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def __init__(
    self,
    diameter: MM,
    sigma_sd: MPA,
    f_bd: MPA,
) -> None:
    r"""[$l_{b,rqd}$] Basic required anchorage length, for anchoring the force [$A_{s} \cdot \sigma_{sd}$] in a straight bar assuming
    constant bond stress [$f_{bd}$]. [mm].

    EN 1992-1-1:2004 art.8.4.3(2) - Formula (8.3)

    Parameters
    ----------
    diameter: MM
        [$Ø$] Diameter of the bar [mm].
    sigma_sd: MPA
        [$\sigma_{sd}$] design stress of the bar at the position from where the anchorage is measured from [MPa].
    f_bd: MPA
        [$f_{bd}$] Design value ultimate bond stress [MPa].
        Use your own implementation for this value or use the Form8Dot2UltimateBondStress class.
    """
    super().__init__()
    self.diameter = diameter
    self.sigma_sd = sigma_sd
    self.f_bd = f_bd

codes.eurocode.en_1992_1_1_2004.chapter_8_detailing_of_reinforcement_and_prestressing_tendons.formula_8_3.Form8Dot3RequiredAnchorageLength.latex 

latex(n: int = 3) -> LatexFormula

Returns a LatexFormula object for this formula.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_8_detailing_of_reinforcement_and_prestressing_tendons/formula_8_3.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns a LatexFormula object for this formula."""
    latex_diameter = r"Ø"
    latex_sigma_sd = r"\sigma_{sd}"
    latex_f_bd = r"f_{bd}"
    return LatexFormula(
        return_symbol=r"l_{b,rqd}",
        result=f"{self:.{n}f}",
        equation=rf"{latex_fraction(latex_diameter, 4)} \cdot {latex_fraction(latex_sigma_sd, latex_f_bd)}",
        numeric_equation=rf"{latex_fraction(self.diameter, 4)} \cdot {latex_fraction(self.sigma_sd, self.f_bd)}",
        comparison_operator_label="=",
    )