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formula_9_5n

codes.eurocode.en_1992_1_1_2004.chapter_9_detailling_and_specific_rules.formula_9_5n

Formula 9.5N 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_5n.Form9Dot5nMinimumShearReinforcementRatio 

Form9Dot5nMinimumShearReinforcementRatio(f_ck: MPA, f_yk: MPA)

Bases: Formula

Class representing the formula 9.5N for the calculation of the minimum shear reinforcement ratio for beams.

[\(\rho_{w,min}\)] Minimum shear reinforcement ratio for beams [\(-\)].

EN 1992-1-1:2004 art.9.2.2(5) - Formula (9.5N)

Parameters:

  • f_ck (MPA) –

    [\(f_{ck}\)] Characteristic concrete compressive cylinder strength at 28 days [\(MPa\)].

  • f_yk (MPA) –

    [\(f_{yk}\)] Characteristic yield strength reinforcement steel [\(MPa\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_9_detailling_and_specific_rules/formula_9_5n.py 
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def __init__(
    self,
    f_ck: MPA,
    f_yk: MPA,
) -> None:
    r"""[$\rho_{w,min}$] Minimum shear reinforcement ratio for beams [$-$].

    EN 1992-1-1:2004 art.9.2.2(5) - Formula (9.5N)

    Parameters
    ----------
    f_ck: MPA
        [$f_{ck}$] Characteristic concrete compressive cylinder strength at 28 days [$MPa$].
    f_yk: MPA
        [$f_{yk}$] Characteristic yield strength reinforcement steel [$MPa$].
    """
    super().__init__()
    self.f_ck = f_ck
    self.f_yk = f_yk

codes.eurocode.en_1992_1_1_2004.chapter_9_detailling_and_specific_rules.formula_9_5n.Form9Dot5nMinimumShearReinforcementRatio.latex 

latex(n: int = 2) -> LatexFormula

Returns LatexFormula object for formula 9.5N.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_9_detailling_and_specific_rules/formula_9_5n.py 
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def latex(self, n: int = 2) -> LatexFormula:
    """Returns LatexFormula object for formula 9.5N."""
    return LatexFormula(
        return_symbol=r"\rho_{w,min}",
        result=f"{self:.6f}",
        equation=r"\left( 0.08 \cdot \sqrt{f_{ck}} \right) / f_{yk}",
        numeric_equation=rf"\left( 0.08 \cdot \sqrt{{{self.f_ck:.{n}f}}} \right) / {self.f_yk:.{n}f}",
        comparison_operator_label="=",
    )