Skip to content

formula_6_1

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_1

Formula 6.1 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_1.Form6Dot1DesignShearStrength 

Form6Dot1DesignShearStrength(v_rd_s: KN, v_ccd: KN, v_td: KN)

Bases: Formula

Class representing formula 6.1 for the design shear strength, VRd.

[\(V_{Rd}\)] Design shear resistance of an element with shear reinforcement.

EN 1992-1-1:2004 art.6.2.1(2) - Formula (6.1)

Parameters:

  • v_rd_s (KN) –

    [\(V_{Rd,s}\)] Design shear resistance of an element with shear reinforcement [\(kN\)].

  • v_ccd (KN) –

    [\(V_{ccd}\)] Design value of the shear force component in the compression area in case of a change in height [\(kN\)].

  • v_td (KN) –

    [\(V_{td}\)] Design value of the shear force component of the tensile force in the reinforcement in case of a change in height [\(kN\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_1.py 
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
def __init__(
    self,
    v_rd_s: KN,
    v_ccd: KN,
    v_td: KN,
) -> None:
    r"""[$V_{Rd}$] Design shear resistance of an element with shear reinforcement.

    EN 1992-1-1:2004 art.6.2.1(2) - Formula (6.1)

    Parameters
    ----------
    v_rd_s : KN
        [$V_{Rd,s}$] Design shear resistance of an element with shear reinforcement [$kN$].
    v_ccd : KN
        [$V_{ccd}$] Design value of the shear force component in the compression area in case of a change in height [$kN$].
    v_td : KN
        [$V_{td}$] Design value of the shear force component of the tensile force in the reinforcement in case of a change in height [$kN$].
    """
    super().__init__()
    self.v_rd_s = v_rd_s
    self.v_ccd = v_ccd
    self.v_td = v_td

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_1.Form6Dot1DesignShearStrength.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.1.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_1.py 
54
55
56
57
58
59
60
61
62
def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.1."""
    return LatexFormula(
        return_symbol=r"V_{Rd}",
        result=f"{self:.{n}f}",
        equation=r"V_{Rd,s} + V_{ccd} + V_{td}",
        numeric_equation=rf"{self.v_rd_s:.{n}f} + {self.v_ccd:.{n}f} + {self.v_td:.{n}f}",
        comparison_operator_label="=",
    )