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formula_6_18_sub_av

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_18_sub_av

Subformula a through g from 6.18 from EN 1993-1-1:2005: Chapter 6 - Ultimate Limit State.

Classes:

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_18_sub_av.Form6Dot18SubARolledIandHSection 

Form6Dot18SubARolledIandHSection(
    a: MM2, b: MM, hw: MM, r: MM, tf: MM, tw: MM, eta: DIMENSIONLESS
)

Bases: Formula

Class representing formula 6.18suba for the calculation of shear area for a rolled I and H section.

[\(A_v\)] Calculation of the shear area for a rolled I and H section with load parallel to web [\(mm^2\)].

EN 1993-1-1:2005 art.6.2.6(3) - Formula (6.18suba)

Parameters:

  • a (MM2) –

    [\(A\)] Cross-sectional area [\(mm^2\)].

  • b (MM) –

    [\(b\)] Overall breadth [\(mm\)].

  • hw (MM) –

    [\(h_w\)] Depth of the web [\(mm\)].

  • r (MM) –

    [\(r\)] Root radius [\(mm\)].

  • tf (MM) –

    [\(t_f\)] Flange thickness [\(mm\)].

  • tw (MM) –

    [\(t_w\)] Web thickness [\(mm\)]. If the web thickness is not constant, tw should be taken as the minimum thickness.

  • eta (DIMENSIONLESS) –

    [\(\eta\)] Dimensionless conversionfactor, see EN 1993-1-5 5.1. Note, \(eta\) may be conservatively taken equal to 1.0.

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_18_sub_av.py 
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def __init__(
    self,
    a: MM2,
    b: MM,
    hw: MM,
    r: MM,
    tf: MM,
    tw: MM,
    eta: DIMENSIONLESS,
) -> None:
    r"""[$A_v$] Calculation of the shear area for a rolled I and H section with load parallel to web [$mm^2$].

    EN 1993-1-1:2005 art.6.2.6(3) - Formula (6.18suba)

    Parameters
    ----------
    a : MM2
        [$A$] Cross-sectional area [$mm^2$].
    b : MM
        [$b$] Overall breadth [$mm$].
    hw : MM
        [$h_w$] Depth of the web [$mm$].
    r : MM
        [$r$] Root radius [$mm$].
    tf : MM
        [$t_f$] Flange thickness [$mm$].
    tw : MM
        [$t_w$] Web thickness [$mm$]. If the web thickness is not constant, tw should be taken as the minimum thickness.
    eta : DIMENSIONLESS, optional
        [$\eta$] Dimensionless conversionfactor, see EN 1993-1-5 5.1. Note, $eta$ may be conservatively taken equal to 1.0.
    """
    super().__init__()
    self.a = a
    self.b = b
    self.hw = hw
    self.r = r
    self.tf = tf
    self.tw = tw
    self.eta = eta

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_18_sub_av.Form6Dot18SubARolledIandHSection.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.18suba.

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_18_sub_av.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.18suba."""
    _equation: str = r"max(A - 2 \cdot b \cdot t_f + (t_w + 2 \cdot r) \cdot t_f; \eta \cdot h_w \cdot t_w)"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"A": f"{self.a:.{n}f}",
            r"b": f"{self.b:.{n}f}",
            r"h_w": f"{self.hw:.{n}f}",
            r"r": f"{self.r:.{n}f}",
            r"t_f": f"{self.tf:.{n}f}",
            r"t_w": f"{self.tw:.{n}f}",
            r"\eta": f"{self.eta:.{n}f}",
        },
        False,
    )
    return LatexFormula(
        return_symbol=r"A_v",
        result=f"{self:.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="=",
        unit="mm^2",
    )

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_18_sub_av.Form6Dot18SubBRolledChannelSection 

Form6Dot18SubBRolledChannelSection(a: MM2, b: MM, tf: MM, tw: MM, r: MM)

Bases: Formula

Class representing formula 6.18subb for the calculation of shear area for a rolled channel section.

[\(A_v\)] Calculation of the shear area for a rolled channel section with load parallel to web [\(mm^2\)].

EN 1993-1-1:2005 art.6.2.6(3) - Formula (6.18subb)

Parameters:

  • a (MM2) –

    [\(A\)] Cross-sectional area [\(mm^2\)].

  • b (MM) –

    [\(b\)] Overall breadth [\(mm\)].

  • tf (MM) –

    [\(t_f\)] Flange thickness [\(mm\)].

  • tw (MM) –

    [\(t_w\)] Web thickness [\(mm\)]. If the web thickness is not constant, tw should be taken as the minimum thickness.

  • r (MM) –

    [\(r\)] Root radius [\(mm\)].

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_18_sub_av.py 
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def __init__(
    self,
    a: MM2,
    b: MM,
    tf: MM,
    tw: MM,
    r: MM,
) -> None:
    r"""[$A_v$] Calculation of the shear area for a rolled channel section with load parallel to web [$mm^2$].

    EN 1993-1-1:2005 art.6.2.6(3) - Formula (6.18subb)

    Parameters
    ----------
    a : MM2
        [$A$] Cross-sectional area [$mm^2$].
    b : MM
        [$b$] Overall breadth [$mm$].
    tf : MM
        [$t_f$] Flange thickness [$mm$].
    tw : MM
        [$t_w$] Web thickness [$mm$]. If the web thickness is not constant, tw should be taken as the minimum thickness.
    r : MM
        [$r$] Root radius [$mm$].
    """
    super().__init__()
    self.a = a
    self.b = b
    self.tf = tf
    self.tw = tw
    self.r = r

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_18_sub_av.Form6Dot18SubBRolledChannelSection.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.18subb.

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_18_sub_av.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.18subb."""
    _equation: str = r"A - 2 \cdot b \cdot t_f + (t_w + r) \cdot t_f"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"A": f"{self.a:.{n}f}",
            r"b": f"{self.b:.{n}f}",
            r"t_f": f"{self.tf:.{n}f}",
            r"t_w": f"{self.tw:.{n}f}",
            r"r": f"{self.r:.{n}f}",
        },
        False,
    )
    return LatexFormula(
        return_symbol=r"A_v",
        result=f"{self:.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="=",
        unit="mm^2",
    )

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_18_sub_av.Form6Dot18SubCTSectionRolled 

Form6Dot18SubCTSectionRolled(a: MM2, b: MM, tf: MM, tw: MM, r: MM)

Bases: Formula

Class representing formula 6.18subc for the calculation of shear area for a rolled T-section with load parallel to web.

[\(A_v\)] Calculation of the shear area for a T-section with load parallel to web [\(mm^2\)].

EN 1993-1-1:2005 art.6.2.6(3) - Formula (6.18subc)

Parameters:

  • a (MM2) –

    [\(A\)] Cross-sectional area [\(mm^2\)].

  • b (MM) –

    [\(b\)] Overall breadth [\(mm\)].

  • tf (MM) –

    [\(t_f\)] Flange thickness [\(mm\)].

  • tw (MM) –

    [\(t_w\)] Web thickness [\(mm\)]. If the web thickness is not constant, tw should be taken as the minimum thickness.

  • r (MM) –

    [\(r\)] Root radius [\(mm\)].

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_18_sub_av.py 
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def __init__(
    self,
    a: MM2,
    b: MM,
    tf: MM,
    tw: MM,
    r: MM,
) -> None:
    r"""[$A_v$] Calculation of the shear area for a T-section with load parallel to web [$mm^2$].

    EN 1993-1-1:2005 art.6.2.6(3) - Formula (6.18subc)

    Parameters
    ----------
    a : MM2
        [$A$] Cross-sectional area [$mm^2$].
    b : MM
        [$b$] Overall breadth [$mm$].
    tf : MM
        [$t_f$] Flange thickness [$mm$].
    tw : MM
        [$t_w$] Web thickness [$mm$]. If the web thickness is not constant, tw should be taken as the minimum thickness.
    r : MM
        [$r$] Root radius [$mm$].
    """
    super().__init__()
    self.a = a
    self.b = b
    self.tf = tf
    self.tw = tw
    self.r = r

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_18_sub_av.Form6Dot18SubCTSectionRolled.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.18subc.

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_18_sub_av.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.18subc."""
    _equation: str = r"A - b \cdot t_f + (t_w + 2 \cdot r) \cdot \frac{t_f}{2}"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"A": f"{self.a:.{n}f}",
            r"b": f"{self.b:.{n}f}",
            r"t_f": f"{self.tf:.{n}f}",
            r"t_w": f"{self.tw:.{n}f}",
            r" r": f" {self.r:.{n}f}",
        },
        False,
    )
    return LatexFormula(
        return_symbol=r"A_v",
        result=f"{self:.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="=",
        unit="mm^2",
    )

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_18_sub_av.Form6Dot18SubCTSectionWelded 

Form6Dot18SubCTSectionWelded(tf: MM, tw: MM, h: MM)

Bases: Formula

Class representing formula 6.18subc for the calculation of shear area for a welded T-section with load parallel to web.

[\(A_v\)] Calculation of the shear area for a T-section with load parallel to web [\(mm^2\)].

EN 1993-1-1:2005 art.6.2.6(3) - Formula (6.18subc)

Parameters:

  • tf (MM) –

    [\(t_f\)] Flange thickness [\(mm\)].

  • tw (MM) –

    [\(t_w\)] Web thickness [\(mm\)]. If the web thickness is not constant, tw should be taken as the minimum thickness.

  • h (MM) –

    [\(h\)] Overall depth [\(mm\)].

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_18_sub_av.py 
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def __init__(
    self,
    tf: MM,
    tw: MM,
    h: MM,
) -> None:
    r"""[$A_v$] Calculation of the shear area for a T-section with load parallel to web [$mm^2$].

    EN 1993-1-1:2005 art.6.2.6(3) - Formula (6.18subc)

    Parameters
    ----------
    tf : MM
        [$t_f$] Flange thickness [$mm$].
    tw : MM
        [$t_w$] Web thickness [$mm$]. If the web thickness is not constant, tw should be taken as the minimum thickness.
    h : MM
        [$h$] Overall depth [$mm$].
    """
    super().__init__()
    self.tf = tf
    self.tw = tw
    self.h = h

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_18_sub_av.Form6Dot18SubCTSectionWelded.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.18subc.

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_18_sub_av.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.18subc."""
    _equation: str = r"t_w \cdot (h \cdot t_f / 2)"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"t_f": f"{self.tf:.{n}f}",
            r"t_w": f"{self.tw:.{n}f}",
            r"h": f"{self.h:.{n}f}",
        },
        False,
    )
    return LatexFormula(
        return_symbol=r"A_v",
        result=f"{self:.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="=",
        unit="mm^2",
    )

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_18_sub_av.Form6Dot18SubDWeldedIHandBoxSection 

Form6Dot18SubDWeldedIHandBoxSection(
    hw_list: list[MM], tw_list: list[MM], eta: DIMENSIONLESS
)

Bases: Formula

Class representing formula 6.18subd for the calculation of shear area for welded I, H, and box sections with load parallel to web.

[\(A_v\)] Calculation of the shear area for welded I, H, and box sections with load parallel to web [\(mm^2\)].

EN 1993-1-1:2005 art.6.2.6(3) - Formula (6.18subd)

Parameters:

  • hw_list (list[MM]) –

    [\(h_w\)] List of depths of the web [\(mm\)].

  • tw_list (list[MM]) –

    [\(t_w\)] List of web thicknesses [\(mm\)]. If the web thickness is not constant, tw should be taken as the minimum thickness.

  • eta (DIMENSIONLESS) –

    [\(\eta\)] See EN 1993-1-5. Note, \(eta\) may be conservatively taken equal to 1.0.

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_18_sub_av.py 
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def __init__(
    self,
    hw_list: list[MM],
    tw_list: list[MM],
    eta: DIMENSIONLESS,
) -> None:
    r"""[$A_v$] Calculation of the shear area for welded I, H, and box sections with load parallel to web [$mm^2$].

    EN 1993-1-1:2005 art.6.2.6(3) - Formula (6.18subd)

    Parameters
    ----------
    hw_list : list[MM]
        [$h_w$] List of depths of the web [$mm$].
    tw_list : list[MM]
        [$t_w$] List of web thicknesses [$mm$]. If the web thickness is not constant, tw should be taken as the minimum thickness.
    eta : DIMENSIONLESS
        [$\eta$] See EN 1993-1-5. Note, $eta$ may be conservatively taken equal to 1.0.
    """
    super().__init__()
    self.hw_list: list[MM] = hw_list
    self.tw_list: list[MM] = tw_list
    self.eta = eta

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_18_sub_av.Form6Dot18SubDWeldedIHandBoxSection.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.18subd.

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_18_sub_av.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.18subd."""
    _equation: str = r"\eta \cdot \sum (h_{w} \cdot t_{w})"
    _numeric_equation: str = rf"{self.eta:.{n}f} \cdot (" + rf"{self.hw_list[0]:.{n}f} \cdot {self.tw_list[0]:.{n}f}"
    for i in range(1, len(self.hw_list)):
        _numeric_equation += rf" + {self.hw_list[i]:.{n}f} \cdot {self.tw_list[i]:.{n}f}"
    _numeric_equation += ")"
    return LatexFormula(
        return_symbol=r"A_v",
        result=f"{self:.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="=",
        unit="mm^2",
    )

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_18_sub_av.Form6Dot18SubEWeldedIHandBoxSection 

Form6Dot18SubEWeldedIHandBoxSection(
    a: MM2, hw_list: list[MM], tw_list: list[MM]
)

Bases: Formula

Class representing formula 6.18sube for the calculation of shear area for welded I, H, channel, and box sections with load parallel to flanges.

[\(A_v\)] Calculation of the shear area for welded I, H, channel, and box sections with load parallel to flanges [\(mm^2\)].

EN 1993-1-1:2005 art.6.2.6(3) - Formula (6.18sube)

Parameters:

  • a (MM2) –

    [\(A\)] Cross-sectional area [\(mm^2\)].

  • hw_list (list[MM]) –

    [\(h_w\)] List of depths of the web [\(mm\)].

  • tw_list (list[MM]) –

    [\(t_w\)] List of web thicknesses [\(mm\)]. If the web thickness is not constant, tw should be taken as the minimum thickness.

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_18_sub_av.py 
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def __init__(
    self,
    a: MM2,
    hw_list: list[MM],
    tw_list: list[MM],
) -> None:
    r"""[$A_v$] Calculation of the shear area for welded I, H, channel, and box sections with load parallel to flanges [$mm^2$].

    EN 1993-1-1:2005 art.6.2.6(3) - Formula (6.18sube)

    Parameters
    ----------
    a : MM2
        [$A$] Cross-sectional area [$mm^2$].
    hw_list : list[MM]
        [$h_w$] List of depths of the web [$mm$].
    tw_list : list[MM]
        [$t_w$] List of web thicknesses [$mm$]. If the web thickness is not constant, tw should be taken as the minimum thickness.
    """
    super().__init__()
    self.a = a
    self.hw_list: list[MM] = hw_list
    self.tw_list: list[MM] = tw_list

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_18_sub_av.Form6Dot18SubEWeldedIHandBoxSection.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.18sube.

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_18_sub_av.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.18sube."""
    _equation: str = r"A - \sum (h_{w} \cdot t_{w})"
    _numeric_equation: str = rf"{self.a:.{n}f} - (" + rf"{self.hw_list[0]:.{n}f} \cdot {self.tw_list[0]:.{n}f}"
    for i in range(1, len(self.hw_list)):
        _numeric_equation += rf" + {self.hw_list[i]:.{n}f} \cdot {self.tw_list[i]:.{n}f}"
    _numeric_equation += ")"
    return LatexFormula(
        return_symbol=r"A_v",
        result=f"{self:.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="=",
        unit="mm^2",
    )

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_18_sub_av.Form6Dot18SubF1RolledRectangularHollowSectionDepth 

Form6Dot18SubF1RolledRectangularHollowSectionDepth(a: MM2, b: MM, h: MM)

Bases: Formula

Class representing formula 6.18subf1 for the calculation of shear area for rolled rectangular hollow sections of uniform thickness with load parallel to depth.

[\(A_v\)] Calculation of the shear area for rolled rectangular hollow sections of uniform thickness with load parallel to depth [\(mm^2\)].

EN 1993-1-1:2005 art.6.2.6(3) - Formula (6.18subf1)

Parameters:

  • a (MM2) –

    [\(A\)] Cross-sectional area [\(mm^2\)].

  • b (MM) –

    [\(b\)] Overall breadth [\(mm\)].

  • h (MM) –

    [\(h\)] Overall depth [\(mm\)].

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_18_sub_av.py 
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def __init__(
    self,
    a: MM2,
    b: MM,
    h: MM,
) -> None:
    r"""[$A_v$] Calculation of the shear area for rolled rectangular hollow sections of uniform thickness with load parallel to depth [$mm^2$].

    EN 1993-1-1:2005 art.6.2.6(3) - Formula (6.18subf1)

    Parameters
    ----------
    a : MM2
        [$A$] Cross-sectional area [$mm^2$].
    b : MM
        [$b$] Overall breadth [$mm$].
    h : MM
        [$h$] Overall depth [$mm$].
    """
    super().__init__()
    self.a = a
    self.b = b
    self.h = h

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_18_sub_av.Form6Dot18SubF1RolledRectangularHollowSectionDepth.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.18subf1.

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_18_sub_av.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.18subf1."""
    _equation: str = r"\frac{A \cdot h}{b + h}"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"A": f"{self.a:.{n}f}",
            r"b": f"{self.b:.{n}f}",
            r"h": f"{self.h:.{n}f}",
        },
        False,
    )
    return LatexFormula(
        return_symbol=r"A_v",
        result=f"{self:.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="=",
        unit="mm^2",
    )

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_18_sub_av.Form6Dot18SubF2RolledRectangularHollowSectionWidth 

Form6Dot18SubF2RolledRectangularHollowSectionWidth(a: MM2, b: MM, h: MM)

Bases: Formula

Class representing formula 6.18subf2 for the calculation of shear area for rolled rectangular hollow sections of uniform thickness with load parallel to width.

[\(A_v\)] Calculation of the shear area for rolled rectangular hollow sections of uniform thickness with load parallel to width [\(mm^2\)].

EN 1993-1-1:2005 art.6.2.6(3) - Formula (6.18subf2)

Parameters:

  • a (MM2) –

    [\(A\)] Cross-sectional area [\(mm^2\)].

  • b (MM) –

    [\(b\)] Overall breadth [\(mm\)].

  • h (MM) –

    [\(h\)] Overall depth [\(mm\)].

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_18_sub_av.py 
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def __init__(
    self,
    a: MM2,
    b: MM,
    h: MM,
) -> None:
    r"""[$A_v$] Calculation of the shear area for rolled rectangular hollow sections of uniform thickness with load parallel to width [$mm^2$].

    EN 1993-1-1:2005 art.6.2.6(3) - Formula (6.18subf2)

    Parameters
    ----------
    a : MM2
        [$A$] Cross-sectional area [$mm^2$].
    b : MM
        [$b$] Overall breadth [$mm$].
    h : MM
        [$h$] Overall depth [$mm$].
    """
    super().__init__()
    self.a = a
    self.b = b
    self.h = h

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_18_sub_av.Form6Dot18SubF2RolledRectangularHollowSectionWidth.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.18subf2.

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_18_sub_av.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.18subf2."""
    _equation: str = r"\frac{A \cdot b}{b + h}"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"A": f"{self.a:.{n}f}",
            r"b": f"{self.b:.{n}f}",
            r"h": f"{self.h:.{n}f}",
        },
        False,
    )
    return LatexFormula(
        return_symbol=r"A_v",
        result=f"{self:.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="=",
        unit="mm^2",
    )

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_18_sub_av.Form6Dot18SubGCircularHollowSection 

Form6Dot18SubGCircularHollowSection(a: MM2)

Bases: Formula

Class representing formula 6.18subg for the calculation of shear area for circular hollow sections and tubes of uniform thickness.

[\(A_v\)] Calculation of the shear area for circular hollow sections and tubes of uniform thickness [\(mm^2\)].

EN 1993-1-1:2005 art.6.2.6(3) - Formula (6.18subg)

Parameters:

  • a (MM2) –

    [\(A\)] Cross-sectional area [\(mm^2\)].

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_18_sub_av.py 
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def __init__(
    self,
    a: MM2,
) -> None:
    r"""[$A_v$] Calculation of the shear area for circular hollow sections and tubes of uniform thickness [$mm^2$].

    EN 1993-1-1:2005 art.6.2.6(3) - Formula (6.18subg)

    Parameters
    ----------
    a : MM2
        [$A$] Cross-sectional area [$mm^2$].
    """
    super().__init__()
    self.a = a

codes.eurocode.en_1993_1_1_2005.chapter_6_ultimate_limit_state.formula_6_18_sub_av.Form6Dot18SubGCircularHollowSection.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.18subg.

Source code in blueprints/codes/eurocode/en_1993_1_1_2005/chapter_6_ultimate_limit_state/formula_6_18_sub_av.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.18subg."""
    _equation: str = r"\frac{2 \cdot A}{\pi}"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"A": f"{self.a:.{n}f}",
        },
        False,
    )
    return LatexFormula(
        return_symbol=r"A_v",
        result=f"{self:.{n}f}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label="=",
        unit="mm^2",
    )