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formula_8_48

codes.eurocode.fpr_en_1992_1_1_2023.chapter_8_ultimate_limit_states.formula_8_48

Formula 8.48 from FprEN 1992-1-1:2023: Chapter 8 - Ultimate Limit States.

Classes:

codes.eurocode.fpr_en_1992_1_1_2023.chapter_8_ultimate_limit_states.formula_8_48.Form8Dot48StrainCompressionChordInCompression 

Form8Dot48StrainCompressionChordInCompression(f_cd: N, a_cc: MM2, e_c: MPA)

Bases: Formula

Class representing formula 8.48 for the calculation of [\(\epsilon_{xc}\)].

Strain of the compression chord if the flexural compression chord is in compression, where the following may be assumed unless more refined methods are used. [\(\epsilon_{xc} = \frac{-F_{cd}}{A_{cc} \cdot E_{c}}\)]

[\(\epsilon_{xc}\)] Strain in the compression chord if the flexural compression chord is in compression [\(-\)].

FprEN 1992-1-1:2023 art.8 - Formula (8.48)

Parameters:

  • f_cd (N) –

    [\(F_{cd}\)] Force in the flexural compression chord [\(N\)]. Positive for compression.

  • a_cc (MM2) –

    [\(A_{cc}\)] Area of the compression chord [\(mm^2\)].

  • e_c (MPA) –

    [\(E_c\)] Modulus of elasticity of concrete [\(MPa\)].

Source code in blueprints/codes/eurocode/fpr_en_1992_1_1_2023/chapter_8_ultimate_limit_states/formula_8_48.py 
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def __init__(
    self,
    f_cd: N,
    a_cc: MM2,
    e_c: MPA,
) -> None:
    r"""[$\epsilon_{xc}$] Strain in the compression chord if the flexural compression chord is in compression [$-$].

    FprEN 1992-1-1:2023 art.8 - Formula (8.48)

    Parameters
    ----------
    f_cd : N
        [$F_{cd}$] Force in the flexural compression chord [$N$]. Positive for compression.
    a_cc : MM2
        [$A_{cc}$] Area of the compression chord [$mm^2$].
    e_c : MPA
        [$E_c$] Modulus of elasticity of concrete [$MPa$].
    """
    super().__init__()
    self.f_cd = f_cd
    self.a_cc = a_cc
    self.e_c = e_c

codes.eurocode.fpr_en_1992_1_1_2023.chapter_8_ultimate_limit_states.formula_8_48.Form8Dot48StrainCompressionChordInCompression.latex 

latex(n: int = 4) -> LatexFormula

Returns LatexFormula object for formula 8.48.

Source code in blueprints/codes/eurocode/fpr_en_1992_1_1_2023/chapter_8_ultimate_limit_states/formula_8_48.py 
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def latex(self, n: int = 4) -> LatexFormula:
    """Returns LatexFormula object for formula 8.48."""
    _equation: str = r"\frac{-F_{cd}}{A_{cc} \cdot E_c}"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"F_{cd}": f"{self.f_cd:.{n}f}",
            r"A_{cc}": f"{self.a_cc:.{n}f}",
            r"E_c": f"{self.e_c:.{n}f}",
        },
        False,
    )
    _numeric_equation_with_units: str = latex_replace_symbols(
        _equation,
        {
            r"F_{cd}": rf"{self.f_cd:.{n}f} \ N",
            r"A_{cc}": rf"{self.a_cc:.{n}f} \ mm^2",
            r"E_c": rf"{self.e_c:.{n}f} \ MPa",
        },
        True,
    )

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