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formula_8_43

codes.eurocode.fpr_en_1992_1_1_2023.chapter_8_ultimate_limit_states.formula_8_43

Formula 8.43 from FprEN-1992-1-1:2023: Chapter 8: Ultimate limit states (ULS).

Classes:

codes.eurocode.fpr_en_1992_1_1_2023.chapter_8_ultimate_limit_states.formula_8_43.Form8Dot43ShearReinforcementRatio 

Form8Dot43ShearReinforcementRatio(a_sw: MM2, b_w: MM, s: MM)

Bases: Formula

Class representing formula 8.43 for the shear reinforcement ratio.

FprEN 1992-1-1:2023 art. 8.2.3 - Formula (8.43)

Formula

[\(\rho_w = \frac{A_{sw}}{b_w \cdot s}\)]

Parameters:

  • a_sw (MM2) –

    [\(A_{sw}\)] Shear reinforcement area (\(mm^2\)).

  • b_w (MM) –

    [\(b_w\)] Width of the web or width of the shear plane (\(mm\)).

  • s (MM) –

    [\(s\)] Spacing of the shear reinforcement (\(mm\)).

Source code in blueprints/codes/eurocode/fpr_en_1992_1_1_2023/chapter_8_ultimate_limit_states/formula_8_43.py 
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def __init__(
    self,
    a_sw: MM2,
    b_w: MM,
    s: MM,
) -> None:
    super().__init__()
    self.a_sw = a_sw
    self.b_w = b_w
    self.s = s

codes.eurocode.fpr_en_1992_1_1_2023.chapter_8_ultimate_limit_states.formula_8_43.Form8Dot43ShearReinforcementRatio.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 8.43.

Source code in blueprints/codes/eurocode/fpr_en_1992_1_1_2023/chapter_8_ultimate_limit_states/formula_8_43.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 8.43."""
    _equation: str = r"\frac{A_{sw}}{b_w \cdot s}"
    _numeric_equation: str = latex_replace_symbols(
        template=_equation,
        replacements={
            r"A_{sw}": f"{self.a_sw:.{n}f}",
            r"b_w": f"{self.b_w:.{n}f}",
            r"s": f"{self.s:.{n}f}",
        },
        unique_symbol_check=False,
    )
    _numeric_equation_with_units: str = latex_replace_symbols(
        template=_equation,
        replacements={
            r"A_{sw}": rf"{self.a_sw:.{n}f} \ mm^2",
            r"b_w": rf"{self.b_w:.{n}f} \ mm",
            r"s": rf"{self.s:.{n}f} \ mm",
        },
        unique_symbol_check=True,
    )

    return LatexFormula(
        return_symbol=r"\rho_w",
        result=f"{self:.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        numeric_equation_with_units=_numeric_equation_with_units,
        comparison_operator_label="=",
        unit="",
    )