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formula_6_63

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_63

Formula 6.63 from EN 1992-1-1:2004: Chapter 6 - Ultimate Limit State.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_63.Form6Dot63ConcentratedResistanceForce 

Form6Dot63ConcentratedResistanceForce(a_c0: MM2, a_c1: MM2, f_cd: MPA)

Bases: Formula

Class representing formula 6.63 for the calculation of [\(F_{Rdu}\)].

[\(F_{Rdu}\)] Calculation of [\(F_{Rdu}\)].

EN 1992-1-1:2004 art.6.7(2) - Formula (6.63)

Parameters:

  • a_c0 (MM2) –

    [\(A_{c0}\)] Loaded area [\(mm^2\)].

  • a_c1 (MM2) –

    [\(A_{c1}\)] Maximum design distribution area with a similar shape to [\(A_{c0}\)] [\(mm^2\)].

  • f_cd (MPA) –

    [\(f_{cd}\)] Design compressive strength of concrete [\(MPa\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_63.py 
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def __init__(
    self,
    a_c0: MM2,
    a_c1: MM2,
    f_cd: MPA,
) -> None:
    r"""[$F_{Rdu}$] Calculation of [$F_{Rdu}$].

    EN 1992-1-1:2004 art.6.7(2) - Formula (6.63)

    Parameters
    ----------
    a_c0 : MM2
        [$A_{c0}$] Loaded area [$mm^2$].
    a_c1 : MM2
        [$A_{c1}$] Maximum design distribution area with a similar shape to [$A_{c0}$] [$mm^2$].
    f_cd : MPA
        [$f_{cd}$] Design compressive strength of concrete [$MPa$].
    """
    super().__init__()
    self.a_c0 = a_c0
    self.a_c1 = a_c1
    self.f_cd = f_cd

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_63.Form6Dot63ConcentratedResistanceForce.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.63.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_63.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.63."""
    _equation: str = r"\min \left( A_{c0} \cdot f_{cd} \cdot \sqrt{\frac{A_{c1}}{A_{c0}}}, 3 \cdot f_{cd} \cdot A_{c0} \right)"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"A_{c0}": f"{self.a_c0:.{n}f}",
            r"A_{c1}": f"{self.a_c1:.{n}f}",
            r"f_{cd}": f"{self.f_cd:.{n}f}",
        },
        False,
    )
    return LatexFormula(
        return_symbol=r"F_{Rdu}",
        result=f"{self:.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="=",
        unit="N",
    )