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formula_6_7

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_7

Formula 6.7 from EN 1993-1-1:2005: Chapter 6 - Ultimate Limit State.

Classes:

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_7.Form6Dot7DesignUltimateResistanceNetCrossSection 

Form6Dot7DesignUltimateResistanceNetCrossSection(
    a_net: MM2, f_u: MPA, gamma_m2: DIMENSIONLESS
)

Bases: Formula

Class representing formula 6.7 for the calculation of [\(N_{t,Rd}\)].

[\(N_{u,Rd}\)] Calculation of the design tension resistance [\(N\)].

EN 1993-1-1:2005 art.6.2.3(2) - Formula (6.7)

Parameters:

  • a_net (MM2) –

    [\(A_{net}\)] Net cross-sectional area at holes for fasteners [\(mm^2\)].

  • f_u (MPA) –

    [\(f_u\)] Ultimate tensile strength of the material [\(N/mm^2\)].

  • gamma_m2 (DIMENSIONLESS) –

    [\(\gamma_{M2}\)] Partial safety factor for resistance of cross-sections in tension to fracture.

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_7.py 
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def __init__(
    self,
    a_net: MM2,
    f_u: MPA,
    gamma_m2: DIMENSIONLESS,
) -> None:
    r"""[$N_{u,Rd}$] Calculation of the design tension resistance [$N$].

    EN 1993-1-1:2005 art.6.2.3(2) - Formula (6.7)

    Parameters
    ----------
    a_net : MM2
        [$A_{net}$] Net cross-sectional area at holes for fasteners [$mm^2$].
    f_u : MPA
        [$f_u$] Ultimate tensile strength of the material [$N/mm^2$].
    gamma_m2 : DIMENSIONLESS
        [$\gamma_{M2}$] Partial safety factor for resistance of cross-sections in tension to fracture.
    """
    super().__init__()
    self.a_net = a_net
    self.f_u = f_u
    self.gamma_m2 = gamma_m2

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_7.Form6Dot7DesignUltimateResistanceNetCrossSection.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.7.

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_7.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.7."""
    _equation: str = r"0.9 \cdot \frac{A_{net} \cdot f_u}{\gamma_{M2}}"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"A_{net}": f"{self.a_net:.{n}f}",
            r"f_u": f"{self.f_u:.{n}f}",
            r"\gamma_{M2}": f"{self.gamma_m2:.{n}f}",
        },
        False,
    )
    return LatexFormula(
        return_symbol=r"N_{u,Rd}",
        result=f"{self:.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="=",
        unit="N",
    )