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formula_6_3n

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_3n

Formula 6.3N from EN 1992-1-1:2004: Chapter 6 - Ultimate Limit State.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_3n.Form6Dot3nShearCapacityWithoutRebar 

Form6Dot3nShearCapacityWithoutRebar(k: DIMENSIONLESS, f_ck: MPA)

Bases: Formula

Class representing formula 6.3N for the calculation of the shear capacity without rebar, [\(v_{min}\)].

[\(v_{min}\)] Shear capacity without rebar [\(MPa\)].

EN 1992-1-1:2004 art.6.2.2(1) - Formula (6.3N)

Parameters:

  • k (DIMENSIONLESS) –

    [\(k\)] Factor which depends on the thickness concrete, see formula 6.2 [\(-\)].

  • f_ck (MPA) –

    [\(f_{ck}\)] Characteristic compressive strength of concrete [\(MPa\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_3n.py 
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def __init__(
    self,
    k: DIMENSIONLESS,
    f_ck: MPA,
) -> None:
    r"""[$v_{min}$] Shear capacity without rebar [$MPa$].

    EN 1992-1-1:2004 art.6.2.2(1) - Formula (6.3N)

    Parameters
    ----------
    k : DIMENSIONLESS
        [$k$] Factor which depends on the thickness concrete, see formula 6.2 [$-$].
    f_ck : MPA
        [$f_{ck}$] Characteristic compressive strength of concrete [$MPa$].
    """
    super().__init__()
    self.k = k
    self.f_ck = f_ck

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_3n.Form6Dot3nShearCapacityWithoutRebar.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.3N.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_3n.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.3N."""
    return LatexFormula(
        return_symbol=r"v_{min}",
        result=f"{self:.{n}f}",
        equation=r"0.035 \cdot k^{3/2} \cdot f_{ck}^{1/2}",
        numeric_equation=rf"0.035 \cdot {self.k:.{n}f}^{{3/2}} \cdot {self.f_ck:.{n}f}^{{1/2}}",
        comparison_operator_label="=",
        unit="MPa",
    )