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formula_8_7

codes.eurocode.en_1992_1_1_2004.chapter_8_detailing_of_reinforcement_and_prestressing_tendons.formula_8_7

Formula 8.7 from EN 1992-1-1:2004: Chapter 8: Detailing of reinforcement and prestressing tendons.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_8_detailing_of_reinforcement_and_prestressing_tendons.formula_8_7.Form8Dot7MinimumCompressionAnchorage 

Form8Dot7MinimumCompressionAnchorage(l_b_rqd: MM, diameter: MM)

Bases: Formula

Class representing formula 8.7 for the calculation of the minimum anchorage length if no other limitation is applied for anchorage in compression.

[\(l_{b,min}\)] Minimum anchorage length if no other limitation is applied for anchorage in compression. [\(mm\)].

EN 1992-1-1:2004 art.8.4.4(1) - Formula (8.7)

Parameters:

  • l_b_rqd (MM) –

    [\(l_{b,rqd}\)] Basic required anchorage length, for anchoring the force [\(A_s \cdot \sigma_{sd}\)] in a straight bar assuming constant bond stress (formula 8.3) [\(mm\)]. Use your own implementation for this value or use the Form8Dot3RequiredAnchorageLength class.

  • diameter (MM) –

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

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_8_detailing_of_reinforcement_and_prestressing_tendons/formula_8_7.py 
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def __init__(
    self,
    l_b_rqd: MM,
    diameter: MM,
) -> None:
    r"""[$l_{b,min}$] Minimum anchorage length if no other limitation is applied for anchorage in compression. [$mm$].

    EN 1992-1-1:2004 art.8.4.4(1) - Formula (8.7)

    Parameters
    ----------
    l_b_rqd: MM
        [$l_{b,rqd}$] Basic required anchorage length, for anchoring the force [$A_s \cdot \sigma_{sd}$] in a straight bar assuming constant
        bond stress (formula 8.3) [$mm$].
        Use your own implementation for this value or use the Form8Dot3RequiredAnchorageLength class.
    diameter: MM
        [$Ø$] Diameter of the bar [$mm$].
    """
    super().__init__()
    self.l_b_rqd = l_b_rqd
    self.diameter = diameter

codes.eurocode.en_1992_1_1_2004.chapter_8_detailing_of_reinforcement_and_prestressing_tendons.formula_8_7.Form8Dot7MinimumCompressionAnchorage.latex 

latex(n: int = 2) -> 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_7.py 
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def latex(self, n: int = 2) -> LatexFormula:
    """Returns a LatexFormula object for this formula."""
    _equation: str = latex_max_curly_brackets(r"0.6 \cdot l_{b,rqd}", r"10 \cdot Ø", r"100 \ \text{mm}")
    _equation_no_unit: str = latex_max_curly_brackets(r"0.6 \cdot l_{b,rqd}", r"10 \cdot Ø", r"100")
    _numeric_equation: str = latex_replace_symbols(
        _equation_no_unit,
        {
            r"l_{b,rqd}": f"{self.l_b_rqd:.{n}f}",
            r"Ø": f"{self.diameter:.{n}f}",
        },
        False,
    )
    _numeric_equation_with_units: str = latex_replace_symbols(
        _equation,
        {
            r"l_{b,rqd}": rf"{self.l_b_rqd:.{n}f} \ mm",
            r"Ø": rf"{self.diameter:.{n}f} \ mm",
        },
        False,
    )
    return LatexFormula(
        return_symbol=r"l_{b,min}",
        result=f"{self:.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        numeric_equation_with_units=_numeric_equation_with_units,
        comparison_operator_label="=",
        unit="mm",
    )