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formula_8_49

codes.eurocode.fpr_en_1992_1_1_2023.chapter_8_ultimate_limit_states.formula_8_49

Formula 8.49 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_49.Form8Dot49StrainCompressionChordInTension 

Form8Dot49StrainCompressionChordInTension(f_cd: N, a_sc: MM2, e_s: MPA)

Bases: Formula

Class representing formula 8.49 for the calculation of [\(\epsilon_{xc}\)].

Strain of the compression chord if the flexural compression chord is in tension. [\(\epsilon_{xc} = \frac{|F_{cd}|}{A_{sc} \cdot E_{s}}\)]

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

FprEN 1992-1-1:2023 art.8 - Formula (8.49)

Parameters:

  • f_cd (N) –

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

  • a_sc (MM2) –

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

  • e_s (MPA) –

    [\(E_s\)] Modulus of elasticity of reinforcement steel [\(MPa\)].

Source code in blueprints/codes/eurocode/fpr_en_1992_1_1_2023/chapter_8_ultimate_limit_states/formula_8_49.py 
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def __init__(
    self,
    f_cd: N,
    a_sc: MM2,
    e_s: MPA,
) -> None:
    r"""[$\epsilon_{xc}$] Strain in the compression chord if the flexural compression chord is in tension [$-$].

    FprEN 1992-1-1:2023 art.8 - Formula (8.49)

    Parameters
    ----------
    f_cd : N
        [$F_{cd}$] Force in the flexural compression chord [$N$].
    a_sc : MM2
        [$A_{sc}$] Area of the compression chord [$mm^2$].
    e_s : MPA
        [$E_s$] Modulus of elasticity of reinforcement steel [$MPa$].
    """
    super().__init__()
    self.f_cd = f_cd
    self.a_sc = a_sc
    self.e_s = e_s

codes.eurocode.fpr_en_1992_1_1_2023.chapter_8_ultimate_limit_states.formula_8_49.Form8Dot49StrainCompressionChordInTension.latex 

latex(n: int = 4) -> LatexFormula

Returns LatexFormula object for formula 8.49.

Source code in blueprints/codes/eurocode/fpr_en_1992_1_1_2023/chapter_8_ultimate_limit_states/formula_8_49.py 
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def latex(self, n: int = 4) -> LatexFormula:
    """Returns LatexFormula object for formula 8.49."""
    _equation: str = r"\frac{|F_{cd}|}{A_{sc} \cdot E_s}"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"|F_{cd}|": f"{abs(self.f_cd):.{n}f}",
            r"A_{sc}": f"{self.a_sc:.{n}f}",
            r"E_s": f"{self.e_s:.{n}f}",
        },
        False,
    )
    _numeric_equation_with_units: str = latex_replace_symbols(
        _equation,
        {
            r"|F_{cd}|": rf"{abs(self.f_cd):.{n}f} \ N",
            r"A_{sc}": rf"{self.a_sc:.{n}f} \ mm^2",
            r"E_s": rf"{self.e_s:.{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="-",
    )