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formula_6_5

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_5

Formula 5.28 and 6.5 from EN 1992-1-1:2004: Chapter 5 and 6 - Structural Analysis.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_5.Form6Dot5ShearForceCheck 

Form6Dot5ShearForceCheck(
    v_ed: N, b_w: MM, d: MM, nu: DIMENSIONLESS, f_cd: MPA
)

Bases: Formula

Class representing formula 6.5 for the shear force check, [\(V_{Ed}\)].

[\(V_{Ed}\)] Shear force check [\(N\)].

EN 1992-1-1:2004 art.6.2.2(6) - Formula (6.5)

Parameters:

  • v_ed (N) –

    [\(V_{Ed}\)] Design value of shear force [\(N\)].

  • b_w (MM) –

    [\(b_w\)] Width of the web [\(mm\)].

  • d (MM) –

    [\(d\)] Effective depth [\(mm\)].

  • nu (DIMENSIONLESS) –

    [\(\nu\)] Strength reduction factor for concrete cracked in shear [\(-\)].

  • f_cd (MPA) –

    [\(f_{cd}\)] Design value of concrete compressive strength [\(MPa\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_5.py 
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def __init__(
    self,
    v_ed: N,
    b_w: MM,
    d: MM,
    nu: DIMENSIONLESS,
    f_cd: MPA,
) -> None:
    r"""[$V_{Ed}$] Shear force check [$N$].

    EN 1992-1-1:2004 art.6.2.2(6) - Formula (6.5)

    Parameters
    ----------
    v_ed : N
        [$V_{Ed}$] Design value of shear force [$N$].
    b_w : MM
        [$b_w$] Width of the web [$mm$].
    d : MM
        [$d$] Effective depth [$mm$].
    nu : DIMENSIONLESS
        [$\nu$] Strength reduction factor for concrete cracked in shear [$-$].
    f_cd : MPA
        [$f_{cd}$] Design value of concrete compressive strength [$MPa$].
    """
    super().__init__()
    self.v_ed = v_ed
    self.b_w = b_w
    self.d = d
    self.nu = nu
    self.f_cd = f_cd

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_5.Form6Dot5ShearForceCheck.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 5.38a.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_5.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 5.38a."""
    return LatexFormula(
        return_symbol=r"CHECK",
        result="OK" if self.__bool__() else "\\text{Not OK}",
        equation=r"V_{Ed} \leq 0.5 \cdot b_w \cdot d \cdot \nu \cdot f_{cd}",
        numeric_equation=rf"{self.v_ed:.{n}f} \leq 0.5 \cdot {self.b_w:.{n}f} \cdot {self.d:.{n}f} \cdot {self.nu:.{n}f} \cdot {self.f_cd:.{n}f}",
        comparison_operator_label="\\to",
        unit="",
    )