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formula_9_13

codes.eurocode.en_1992_1_1_2004.chapter_9_detailling_and_specific_rules.formula_9_13

Formula 9.13 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_13.Form9Dot13TensileForceToBeAnchored 

Form9Dot13TensileForceToBeAnchored(r: MM, z_e: MM, z_i: MM)

Bases: Formula

Class representing the formula 9.13 for the calculation of the tensile force to be anchored for.

[\(F_s\)] Tensile force to be anchored [\(kN\)].

EN 1992-1-1:2004 art.9.8.2.2(2) - Formula (9.13)

Parameters:

  • r (MM) –

    [\(R\)] The resultant of ground pressure within x from figure 9.13 [\(mm\)].

  • z_e (MM) –

    [\(z_e\)] The external lever arm, see figure 9.13, i.e. distance between the reinforcement and the horizontal force \(F_c\) [\(mm\)].

  • z_i (MM) –

    [\(z_i\)] Internal lever arm, see figure 9.13, i.e. distance between \(R\) and the vertical force \(N_{Ed}\) [\(mm\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_9_detailling_and_specific_rules/formula_9_13.py 
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def __init__(
    self,
    r: MM,
    z_e: MM,
    z_i: MM,
) -> None:
    r"""[$F_s$] Tensile force to be anchored [$kN$].

    EN 1992-1-1:2004 art.9.8.2.2(2) - Formula (9.13)

    Parameters
    ----------
    r: MM
        [$R$] The resultant of ground pressure within x from figure 9.13 [$mm$].
    z_e: MM
        [$z_e$] The external lever arm, see figure 9.13, i.e. distance between the reinforcement and the horizontal force $F_c$ [$mm$].
    z_i: MM
        [$z_i$] Internal lever arm, see figure 9.13, i.e. distance between $R$ and the vertical force $N_{Ed}$ [$mm$].
    """
    super().__init__()
    self.r = r
    self.z_e = z_e
    self.z_i = z_i

codes.eurocode.en_1992_1_1_2004.chapter_9_detailling_and_specific_rules.formula_9_13.Form9Dot13TensileForceToBeAnchored.latex 

latex(n: int = 2) -> LatexFormula

Returns LatexFormula object for formula 9.13.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_9_detailling_and_specific_rules/formula_9_13.py 
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def latex(self, n: int = 2) -> LatexFormula:
    """Returns LatexFormula object for formula 9.13."""
    return LatexFormula(
        return_symbol=r"F_s",
        result=f"{self:.{n}f}",
        equation=r"R \cdot z_e / z_i",
        numeric_equation=rf"{self.r:.{n}f} \cdot {self.z_e:.{n}f} / {self.z_i:.{n}f}",
        comparison_operator_label="=",
    )