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formula_9_6n

codes.eurocode.en_1992_1_1_2004.chapter_9_detailling_and_specific_rules.formula_9_6n

Formula 9.6N from EN 1992-1-1:2004: Chapter 9 - Detailing of members and particular rules.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_9_detailling_and_specific_rules.formula_9_6n.Form9Dot6nMaximumDistanceShearReinforcement

Form9Dot6nMaximumDistanceShearReinforcement(d: MM, alpha: DEG)

Bases: Formula

Class representing the formula 9.6N for the calculation of the maximum distance between shear reinforcement in longitudinal direction.

[\(s_{l,max}\)] Maximum distance between shear reinforcement in longitudinal direction [\(mm\)].

EN 1992-1-1:2004 art.9.2.2(6) - Formula (9.6N)

Parameters:

  • d (MM) –

    [\(d\)] Effective height of the cross-section [\(mm\)].

  • alpha (DEG) –

    [\(\alpha\)] The angle between the shear reinforcement and the longitudinal axis of the beam (see 9.2.2(1)) [\(deg\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_9_detailling_and_specific_rules/formula_9_6n.py
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def __init__(
    self,
    d: MM,
    alpha: DEG,
) -> None:
    r"""[$s_{l,max}$] Maximum distance between shear reinforcement in longitudinal direction [$mm$].

    EN 1992-1-1:2004 art.9.2.2(6) - Formula (9.6N)

    Parameters
    ----------
    d: MM
        [$d$] Effective height of the cross-section [$mm$].
    alpha: DEG
        [$\alpha$] The angle between the shear reinforcement and the longitudinal axis of the beam (see 9.2.2(1)) [$deg$].
    """
    super().__init__()
    self.d = d
    self.alpha = alpha

codes.eurocode.en_1992_1_1_2004.chapter_9_detailling_and_specific_rules.formula_9_6n.Form9Dot6nMaximumDistanceShearReinforcement.latex

latex(n: int = 2) -> LatexFormula

Returns LatexFormula object for formula 9.6N.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_9_detailling_and_specific_rules/formula_9_6n.py
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def latex(self, n: int = 2) -> LatexFormula:
    """Returns LatexFormula object for formula 9.6N."""
    return LatexFormula(
        return_symbol=r"s_{l,max}",
        result=f"{self:.{n}f}",
        equation=r"0.75 \cdot d \cdot \left( 1 + cot(\alpha) \right)",
        numeric_equation=rf"0.75 \cdot {self.d:.{n}f} \cdot \left( 1 + cot({self.alpha:.{n}f}) \right)",
        comparison_operator_label="=",
    )