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formula_5_8

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_8

Formula 5.8 from EN 1992-1-1:2004: Chapter 5 - Structural Analysis.

Classes:

  • Form5Dot8EffectiveSpan –

    Class representing formula 5.8 for calculating the effective span of beams and slabs, [\(l_{eff}\)].

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_8.Form5Dot8EffectiveSpan 

Form5Dot8EffectiveSpan(l_n: M, a_1: M, a_2: M)

Bases: Formula

Class representing formula 5.8 for calculating the effective span of beams and slabs, [\(l_{eff}\)].

See Figure 5.4

[\(l_{eff}\)] the effective span of a member [\(m\)].

EN 1992-1-1:2004 art.5.3.2.2(1) - Formula (5.8)

Parameters:

  • l_n (M) –

    [\(l_{n}\)] clear distance between the faces of the supports [\(m\)].

  • a_1 (M) –

    [\(a_{1}\)] values for [\(a_{1}\)] and [\(a_{2}\)] at each end of the span, may be determined from the appropriate [\(a_{i}\)] values in Figure 5.4 where t is the width of the supporting element as shown. [\(m\)].

  • a_2 (M) –

    [\(a_{2}\)] values for [\(a_{1}\)] and [\(a_{2}\)] at each end of the span, may be determined from the appropriate [\(a_{i}\)] values in Figure 5.4 where t is the width of the supporting element as shown. [\(m\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_8.py 
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def __init__(
    self,
    l_n: M,
    a_1: M,
    a_2: M,
) -> None:
    r"""[$l_{eff}$] the effective span of a member [$m$].

    EN 1992-1-1:2004 art.5.3.2.2(1) - Formula (5.8)

    Parameters
    ----------
    l_n : M
        [$l_{n}$] clear distance between the faces of the supports [$m$].
    a_1 : M
        [$a_{1}$] values for [$a_{1}$] and [$a_{2}$] at each end of the span, may be determined from the appropriate [$a_{i}$]
                        values in Figure 5.4 where t is the width of the supporting element as shown. [$m$].
    a_2 : M
        [$a_{2}$] values for [$a_{1}$] and [$a_{2}$] at each end of the span, may be determined from the appropriate [$a_{i}$]
                        values in Figure 5.4 where t is the width of the supporting element as shown. [$m$].
    """
    super().__init__()
    self.l_n = l_n
    self.a_1 = a_1
    self.a_2 = a_2

codes.eurocode.en_1992_1_1_2004.chapter_5_structural_analysis.formula_5_8.Form5Dot8EffectiveSpan.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 5.8.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_5_structural_analysis/formula_5_8.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 5.8."""
    return LatexFormula(
        return_symbol=r"l_{eff}",
        result=f"{self:.{n}f}",
        equation=r"l_{n} + a_{1} + a_{2}",
        numeric_equation=f"{self.l_n:.{n}f} + {self.a_1:.{n}f} + {self.a_2:.{n}f}",
        comparison_operator_label="=",
    )