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formula_7_15

codes.eurocode.en_1992_1_1_2004.chapter_7_serviceability_limit_state.formula_7_15

Formula 7.15 from EN 1992-1-1:2004: Chapter 7 - Serviceability Limit State.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_7_serviceability_limit_state.formula_7_15.Form7Dot15MaximumCrackSpacing 

Form7Dot15MaximumCrackSpacing(theta: DIMENSIONLESS, sr_max_y: MM, sr_max_z: MM)

Bases: Formula

Class representing formula 7.15 for the calculation of [\(s_{r,max}\)].

[\(s_{r,max}\)] Calculation of the maximum crack spacing, where the angle between the axes of principal stress and the direction of the reinforcement, for members reinforced in two orthogonal directions, is significant (>15 degrees) [\(mm\)].

EN 1992-1-1:2004 art.7.3.4(4) - Formula (7.15)

Parameters:

  • theta (DIMENSIONLESS) –

    [\(\theta\)] Angle between the reinforcement in the y direction and the direction of the principal tensile stress [\(degrees\)].

  • sr_max_y (MM) –

    [\(s_{r,max,y}\)] Crack spacing in the y direction [\(mm\)].

  • sr_max_z (MM) –

    [\(s_{r,max,z}\)] Crack spacing in the z direction [\(mm\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_7_serviceability_limit_state/formula_7_15.py 
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def __init__(
    self,
    theta: DIMENSIONLESS,
    sr_max_y: MM,
    sr_max_z: MM,
) -> None:
    r"""[$s_{r,max}$] Calculation of the maximum crack spacing, where the angle between the axes of principal stress and the direction of the
    reinforcement, for members reinforced in two orthogonal directions, is significant (>15 degrees) [$mm$].

    EN 1992-1-1:2004 art.7.3.4(4) - Formula (7.15)

    Parameters
    ----------
    theta : DIMENSIONLESS
        [$\theta$] Angle between the reinforcement in the y direction and the direction of the principal tensile stress [$degrees$].
    sr_max_y : MM
        [$s_{r,max,y}$] Crack spacing in the y direction [$mm$].
    sr_max_z : MM
        [$s_{r,max,z}$] Crack spacing in the z direction [$mm$].

    """
    super().__init__()
    self.theta = theta
    self.sr_max_y = sr_max_y
    self.sr_max_z = sr_max_z

codes.eurocode.en_1992_1_1_2004.chapter_7_serviceability_limit_state.formula_7_15.Form7Dot15MaximumCrackSpacing.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 7.15.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_7_serviceability_limit_state/formula_7_15.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 7.15."""
    _equation: str = r"\frac{1}{\left(\frac{\cos(\theta)}{s_{r,max,y}}\right) + \left(\frac{\sin(\theta)}{s_{r,max,z}}\right)}"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"\theta": f"{self.theta:.{n}f}",
            r"s_{r,max,y}": f"{self.sr_max_y:.{n}f}",
            r"s_{r,max,z}": f"{self.sr_max_z:.{n}f}",
        },
        False,
    )
    return LatexFormula(
        return_symbol=r"s_{r,max}",
        result=f"{self:.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="=",
        unit="mm",
    )