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formula_7_5

codes.eurocode.en_1992_1_1_2004.chapter_7_serviceability_limit_state.formula_7_5

Formula 7.5 from EN 1992-1-1:2004: Chapter 7 - Serviceability Limit State.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_7_serviceability_limit_state.formula_7_5.Form7Dot5AdjustedBondStrengthRatio 

Form7Dot5AdjustedBondStrengthRatio(xi: DIMENSIONLESS, diam_s: MM, diam_p: MM)

Bases: Formula

Class representing formula 7.5 for the calculation of [\(\xi_1\)].

[\(\xi_1\)] Calculation of the ratio of bond strength of presetressing and reinforcing steel [\(-\)]. Note: if only prestressing steel is used to control cracking: [\(\xi_1 = \sqrt{\xi}\)].

EN 1992-1-1:2004 art.7.3.2(3) - Formula (7.5)

Parameters:

  • xi (DIMENSIONLESS) –

    [\(\xi\)] Ratio of bond strength of prestressing and reinforcing steel.

  • diam_s (MM) –

    [\(⌀_s\)] Largest bar diameter of reinforcing steel [\(mm\)].

  • diam_p (MM) –

    [\(⌀_p\)] Equivalent diameter of tendon [\(mm\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_7_serviceability_limit_state/formula_7_5.py 
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def __init__(
    self,
    xi: DIMENSIONLESS,
    diam_s: MM,
    diam_p: MM,
) -> None:
    r"""[$\xi_1$] Calculation of the ratio of bond strength of presetressing and reinforcing steel [$-$].
    Note: if only prestressing steel is used to control cracking: [$\xi_1 = \sqrt{\xi}$].

    EN 1992-1-1:2004 art.7.3.2(3) - Formula (7.5)

    Parameters
    ----------
    xi : DIMENSIONLESS
        [$\xi$] Ratio of bond strength of prestressing and reinforcing steel.
    diam_s : MM
        [$⌀_s$] Largest bar diameter of reinforcing steel [$mm$].
    diam_p : MM
        [$⌀_p$] Equivalent diameter of tendon [$mm$].
    """
    super().__init__()
    self.xi = xi
    self.diam_s = diam_s
    self.diam_p = diam_p

codes.eurocode.en_1992_1_1_2004.chapter_7_serviceability_limit_state.formula_7_5.Form7Dot5AdjustedBondStrengthRatio.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 7.5.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_7_serviceability_limit_state/formula_7_5.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 7.5."""
    _equation: str = r"\sqrt{\xi \cdot \left( \frac{⌀_s}{⌀_p} \right)}"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"\xi": f"{self.xi:.{n}f}",
            r"⌀_s": f"{self.diam_s:.{n}f}",
            r"⌀_p": f"{self.diam_p:.{n}f}",
        },
        False,
    )
    return LatexFormula(
        return_symbol=r"\xi_1",
        result=f"{self:.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="=",
        unit="-",
    )