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formula_12_2

codes.eurocode.en_1992_1_1_2004.chapter_12_plain_and_lightly_reinforced_concrete_structures.formula_12_2

Formula 12.2 from EN 1992-1-1:2004: Chapter 12 - Plain and Lightly Reinforced Concrete Structures.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_12_plain_and_lightly_reinforced_concrete_structures.formula_12_2.Form12Dot2PlainConcreteBendingResistance 

Form12Dot2PlainConcreteBendingResistance(
    eta_f_cd_pl: MPA, b: MM, h_w: MM, e: MM
)

Bases: Formula

Class representing formula 12.2 for the calculation of the design bending resistance of plain concrete, :math:N_{Rd}.

EN 1992-1-1:2004 art.12.6.1(3) - Formula (12.2)

[:math:N_{Rd}] Design bending resistance of plain concrete [:math:N].

EN 1992-1-1:2004 art.12.6.1(3) - Formula (12.2)

Parameters:

  • eta_f_cd_pl (MPa) –

    [:math:\eta f_{cd,pl}] Effective design compressive strength [:math:MPa].

  • b (mm) –

    [:math:b] Total width of the cross-section [:math:mm].

  • h_w (mm) –

    [:math:h_w] Total height of the cross-section [:math:mm].

  • e (mm) –

    [:math:e] Eccentricity of :math:N_{Ed} in the direction of :math:h_w [:math:mm].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_12_plain_and_lightly_reinforced_concrete_structures/formula_12_2.py 
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def __init__(
    self,
    eta_f_cd_pl: MPA,
    b: MM,
    h_w: MM,
    e: MM,
) -> None:
    r"""[:math:`N_{Rd}`] Design bending resistance of plain concrete [:math:`N`].

    EN 1992-1-1:2004 art.12.6.1(3) - Formula (12.2)

    Parameters
    ----------
    eta_f_cd_pl : MPa
        [:math:`\eta f_{cd,pl}`] Effective design compressive strength [:math:`MPa`].
    b : mm
        [:math:`b`] Total width of the cross-section [:math:`mm`].
    h_w : mm
        [:math:`h_w`] Total height of the cross-section [:math:`mm`].
    e : mm
        [:math:`e`] Eccentricity of :math:`N_{Ed}` in the direction of :math:`h_w` [:math:`mm`].
    """
    super().__init__()
    self.eta_f_cd_pl = eta_f_cd_pl
    self.b = b
    self.h_w = h_w
    self.e = e

codes.eurocode.en_1992_1_1_2004.chapter_12_plain_and_lightly_reinforced_concrete_structures.formula_12_2.Form12Dot2PlainConcreteBendingResistance.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 12.2.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_12_plain_and_lightly_reinforced_concrete_structures/formula_12_2.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 12.2."""
    return LatexFormula(
        return_symbol=r"N_{Rd}",
        result=f"{self:.{n}f}",
        equation=r"\eta f_{cd,pl} \cdot b \cdot h_w \cdot \left(1 - \frac{2e}{h_w}\right)",
        numeric_equation=rf"{self.eta_f_cd_pl:.{n}f} \cdot {self.b:.{n}f} \cdot {self.h_w:.{n}f} "
        rf"\cdot \left(1 - \frac{{2 \cdot {self.e:.{n}f}}}{{{self.h_w:.{n}f}}}\right)",
        comparison_operator_label="=",
    )