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formula_9_12n

codes.eurocode.en_1992_1_1_2004.chapter_9_detailling_and_specific_rules.formula_9_12n

Formula 9.12N from EN 1992-1-1:2004: Chapter 9 - Detailing and specific rules.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_9_detailling_and_specific_rules.formula_9_12n.Form9Dot12nMinimumLongitudinalReinforcementColumns 

Form9Dot12nMinimumLongitudinalReinforcementColumns(
    n_ed: KN, f_yd: MPA, a_c: MM2
)

Bases: Formula

Class representing the formula 9.12N for the calculation of the minimum longitudinal reinforcement for columns.

[\(A_{s,min}\)] Minimum longitudinal reinforcement for columns [\(mm^2\)].

EN 1992-1-1:2004 art.9.5.2(2) - Formula (9.12N)

Parameters:

  • n_ed (KN) –

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

  • f_yd (MPA) –

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

  • a_c (MM2) –

    [\(A_c\)] Concrete cross-sectional area [\(mm^2\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_9_detailling_and_specific_rules/formula_9_12n.py 
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def __init__(
    self,
    n_ed: KN,
    f_yd: MPA,
    a_c: MM2,
) -> None:
    r"""[$A_{s,min}$] Minimum longitudinal reinforcement for columns [$mm^2$].

    EN 1992-1-1:2004 art.9.5.2(2) - Formula (9.12N)

    Parameters
    ----------
    n_ed: KN
        [$N_{Ed}$] Design value of axial force [$kN$].
    f_yd: MPA
        [$f_{yd}$] Design yield strength reinforcement steel [$MPa$].
    a_c: MM2
        [$A_c$] Concrete cross-sectional area [$mm^2$].
    """
    super().__init__()
    self.n_ed = n_ed
    self.f_yd = f_yd
    self.a_c = a_c

codes.eurocode.en_1992_1_1_2004.chapter_9_detailling_and_specific_rules.formula_9_12n.Form9Dot12nMinimumLongitudinalReinforcementColumns.latex 

latex(n: int = 2) -> LatexFormula

Returns LatexFormula object for formula 9.12N.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_9_detailling_and_specific_rules/formula_9_12n.py 
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def latex(self, n: int = 2) -> LatexFormula:
    """Returns LatexFormula object for formula 9.12N."""
    return LatexFormula(
        return_symbol=r"A_{s,min}",
        result=f"{self:.{n}f}",
        equation=r"\max( \frac{0.10 \cdot N_{Ed}}{f_{yd}}, 0.002 \cdot A_c )",
        numeric_equation=rf"\max( \frac{{0.10 \cdot {self.n_ed:.{n}f}}}{{{self.f_yd:.{n}f}}}, 0.002 \cdot {self.a_c:.{n}f} )",
        comparison_operator_label="=",
    )