Skip to content

formula_9_16

codes.eurocode.en_1992_1_1_2004.chapter_9_detailling_and_specific_rules.formula_9_16

Formula 9.16 from EN 1992-1-1:2004: Chapter 9 - Detailing and specific rules.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_9_detailling_and_specific_rules.formula_9_16.Form9Dot16MinimumForceOnInternalBeamLine 

Form9Dot16MinimumForceOnInternalBeamLine(q_3: KN_M, l_1: M, l_2: M, q_4: KN)

Bases: Formula

Class representing the formula 9.16 for calculating the minimum force on an internal beam line for floors without screeds.

[\(F_{tie}\)] Minimum force on an internal beam line [\(kN\)].

EN 1992-1-1:2004 art.9.10.2.3(4) - Formula (9.16)

Parameters:

  • q_3 (KN_M) –

    [\(q_3\)] May be found in national annex, recommended value is 20 [\(kN/m\)].

  • l_1 (M) –

    [\(l_1\)] span length of floor slabs on either side of the beam, see figure 9.15 [\(m\)].

  • l_2 (M) –

    [\(l_2\)] span length of floor slabs on either side of the beam, see figure 9.15 [\(m\)].

  • q_4 (KN) –

    [\(Q_4\)] May be found in national annex, recommended value is 70 [\(kN\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_9_detailling_and_specific_rules/formula_9_16.py 
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
def __init__(
    self,
    q_3: KN_M,
    l_1: M,
    l_2: M,
    q_4: KN,
) -> None:
    r"""[$F_{tie}$] Minimum force on an internal beam line [$kN$].

    EN 1992-1-1:2004 art.9.10.2.3(4) - Formula (9.16)

    Parameters
    ----------
    q_3: KN_M
        [$q_3$] May be found in national annex, recommended value is 20 [$kN/m$].
    l_1: M
        [$l_1$] span length of floor slabs on either side of the beam, see figure 9.15 [$m$].
    l_2: M
        [$l_2$] span length of floor slabs on either side of the beam, see figure 9.15 [$m$].
    q_4: KN
        [$Q_4$] May be found in national annex, recommended value is 70 [$kN$].
    """
    super().__init__()
    self.q_3 = q_3
    self.l_1 = l_1
    self.l_2 = l_2
    self.q_4 = q_4

codes.eurocode.en_1992_1_1_2004.chapter_9_detailling_and_specific_rules.formula_9_16.Form9Dot16MinimumForceOnInternalBeamLine.latex 

latex(n: int = 2) -> LatexFormula

Returns LatexFormula object for formula 9.16.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_9_detailling_and_specific_rules/formula_9_16.py 
55
56
57
58
59
60
61
62
63
def latex(self, n: int = 2) -> LatexFormula:
    """Returns LatexFormula object for formula 9.16."""
    return LatexFormula(
        return_symbol=r"F_{tie}",
        result=f"{self:.{n}f}",
        equation=r"min(q_3 \cdot (l_1 + l_2) / 2, Q_4)",
        numeric_equation=rf"min({self.q_3:.{n}f} \cdot ({self.l_1:.{n}f} + {self.l_2:.{n}f}) / 2, {self.q_4:.{n}f})",
        comparison_operator_label="=",
    )