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formula_5_36

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_36

Formula 5.36 from EN 1992-1-1:2004: Chapter 5 - Structural Analysis.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_36.Form5Dot36RelativeAxialForce 

Form5Dot36RelativeAxialForce(
    n_ed: KN, ac: MM2, fcd: MPA, as_: MM2, fyd: MPA, n_bal: DIMENSIONLESS
)

Bases: Formula

Class representing formula 5.36 for the calculation of the relative axial force, [\(K_{r}\)].

[\(K_{r}\)] Relative axial force [-].

EN 1992-1-1:2004 art.5.8.8.3(3) - Formula (5.36)

Parameters:

  • n_ed (KN) –

    [\(N_{Ed}\)] Design value of axial load [\(kN\)].

  • ac (MM2) –

    [\(A_{c}\)] Area of concrete cross section [\(mm^2\)].

  • fcd (MPA) –

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

  • as_ (MM2) –

    [\(A_{s}\)] Total area of reinforcement [\(mm^2\)].

  • fyd (MPA) –

    [\(f_{yd}\)] Design yield strength of reinforcement [\(MPa\)].

  • n_bal (DIMENSIONLESS) –

    [\(n_{bal}\)] Value of n at maximum moment resistance, 0.4 may be used [-].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_36.py 
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def __init__(
    self,
    n_ed: KN,
    ac: MM2,
    fcd: MPA,
    as_: MM2,
    fyd: MPA,
    n_bal: DIMENSIONLESS,
) -> None:
    r"""[$K_{r}$] Relative axial force [-].

    EN 1992-1-1:2004 art.5.8.8.3(3) - Formula (5.36)

    Parameters
    ----------
    n_ed : KN
        [$N_{Ed}$] Design value of axial load [$kN$].
    ac : MM2
        [$A_{c}$] Area of concrete cross section [$mm^2$].
    fcd : MPA
        [$f_{cd}$] Design value of concrete compressive strength [$MPa$].
    as_ : MM2
        [$A_{s}$] Total area of reinforcement [$mm^2$].
    fyd : MPA
        [$f_{yd}$] Design yield strength of reinforcement [$MPa$].
    n_bal : DIMENSIONLESS
        [$n_{bal}$] Value of n at maximum moment resistance, 0.4 may be used [-].
    """
    super().__init__()
    self.n_ed = n_ed
    self.ac = ac
    self.fcd = fcd
    self.as_ = as_
    self.fyd = fyd
    self.n_bal = n_bal

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_36.Form5Dot36RelativeAxialForce.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 5.36.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_36.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 5.36."""
    return LatexFormula(
        return_symbol=r"K_{r}",
        result=f"{self:.{n}f}",
        equation=r"\min\left(\frac{\left(1 + \frac{A_{s} \cdot f_{yd}}{A_{c} \cdot f_{cd}}\right) - "
        r"\frac{N_{Ed}}{A_{c} \cdot f_{cd}}}{\left(1 + \frac{A_{s} \cdot f_{yd}}{A_{c} \cdot f_{cd}}\right) - n_{bal}}, 1\right)",
        numeric_equation=rf"\min\left(\frac{{\left(1 + \frac{{{self.as_:.{n}f} \cdot {self.fyd:.{n}f}}}{{{self.ac:.{n}f} \cdot "
        rf"{self.fcd:.{n}f}}}\right) - \frac{{{self.n_ed:.{n}f}}}{{{self.ac:.{n}f}"
        rf" \cdot {self.fcd:.{n}f}}}}}{{\left(1 + \frac{{{self.as_:.{n}f} \cdot "
        rf"{self.fyd:.{n}f}}}{{{self.ac:.{n}f} \cdot {self.fcd:.{n}f}}}\right) - {self.n_bal:.{n}f}}}, 1\right)",
        comparison_operator_label="=",
        unit="-",
    )