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formula_7_8

codes.eurocode.en_1992_1_1_2004.chapter_7_serviceability_limit_state.formula_7_8

Formula 7.8 from EN 1992-1-1:2004: Chapter 7 - Serviceability Limit State.

Classes:

  • Form7Dot8CrackWidth –

    Class representing formula 7.8 for the calculation of the crack width [\(w_k\)].

codes.eurocode.en_1992_1_1_2004.chapter_7_serviceability_limit_state.formula_7_8.Form7Dot8CrackWidth 

Form7Dot8CrackWidth(s_r_max: MM, epsilon_sm_minus_epsilon_cm: DIMENSIONLESS)

Bases: Formula

Class representing formula 7.8 for the calculation of the crack width [\(w_k\)].

[\(w_k\)] Calculation of the crack width [\(mm\)].

EN 1992-1-1:2004 art.7.3.4(1) - Formula (7.8)

Parameters:

  • s_r_max (MM) –

    [\(s_{r,max}\)] Maximum crack spacing [\(mm\)].

  • epsilon_sm_minus_epsilon_cm (DIMENSIONLESS) –

    [\(\epsilon_{sm} - \epsilon_{cm}\)] Difference between mean strain in reinforcement and mean strain in concrete. Followed from formula (7.9) [\(-\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_7_serviceability_limit_state/formula_7_8.py 
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def __init__(
    self,
    s_r_max: MM,
    epsilon_sm_minus_epsilon_cm: DIMENSIONLESS,
) -> None:
    r"""[$w_k$] Calculation of the crack width [$mm$].

    EN 1992-1-1:2004 art.7.3.4(1) - Formula (7.8)

    Parameters
    ----------
    s_r_max : MM
        [$s_{r,max}$] Maximum crack spacing [$mm$].
    epsilon_sm_minus_epsilon_cm : DIMENSIONLESS
        [$\epsilon_{sm} - \epsilon_{cm}$] Difference between mean strain in reinforcement and mean strain in concrete.
        Followed from formula (7.9) [$-$].
    """
    super().__init__()
    self.s_r_max = s_r_max
    self.epsilon_sm_minus_epsilon_cm = epsilon_sm_minus_epsilon_cm

codes.eurocode.en_1992_1_1_2004.chapter_7_serviceability_limit_state.formula_7_8.Form7Dot8CrackWidth.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 7.8.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_7_serviceability_limit_state/formula_7_8.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 7.8."""
    _equation: str = r"s_{r,max} \cdot (\epsilon_{sm} - \epsilon_{cm})"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"s_{r,max}": f"{self.s_r_max:.{n}f}",
            r"\epsilon_{sm} - \epsilon_{cm}": f"{self.epsilon_sm_minus_epsilon_cm:.{n}f}",
        },
        False,
    )
    return LatexFormula(
        return_symbol=r"w_k",
        result=f"{self:.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="=",
        unit="mm",
    )