Add formulas 6.29, 6.29rho, and 6.30 from 1993-1-1 #583
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…uced yield strength and plastic resistance moment
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…d yield strength and plastic resistance moment
…r-628-from-eurocode-1993-1-1
…eurocode-1993-1-1' of https://github.com/Blueprints-org/blueprints into 582-formula-request-add-formulas-from-chapter-628-from-eurocode-1993-1-1
…nt to include conditional cases
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| Parameters | ||
| ---------- | ||
| rho : DIMENSIONLESS | ||
| [$\rho$] Reduction factor for shear force, see 6.2.8(3) (dimensionless). |
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| [$\rho$] Reduction factor for shear force, see 6.2.8(3) (dimensionless). | |
| [$\rho$] Reduction factor for shear force, see equation 6.29rho (dimensionless). |
| if v_ed <= 0.5 * v_pl_rd: | ||
| return 0 |
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Return 0 is only the case when there is Torsion.
| _equation: str = ( | ||
| r"\begin{cases} " | ||
| r"0 & \text{if } V_{Ed} \leq 0.5 \cdot V_{pl,Rd} \\ " | ||
| r"\left( \frac{2 \cdot V_{Ed}}{V_{pl,Rd}} - 1 \right)^2 & \text{if } V_{Ed} > 0.5 \cdot V_{pl,Rd} " |
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Return 0 is only the case when there is Torsion.
| formula = Form6Dot29Rho(v_ed=v_ed, v_pl_rd=v_pl_rd) | ||
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| # Expected result, manually calculated | ||
| manually_calculated_result = 0.0 # dimensionless |
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Return 0 is only the case when there is Torsion, doesn't need to be tested
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| class Form6Dot30ReducedPlasticResistanceMoment(Formula): | ||
| r"""Class representing formula 6.30 for the calculation of [$M_{y,v,Rd}$].""" |
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| r"""Class representing formula 6.30 for the calculation of [$M_{y,v,Rd}$].""" | |
| r"""Class representing formula 6.30 for the calculation of [$M_{y,V,Rd}$].""" |
| gamma_m0: DIMENSIONLESS, | ||
| m_y_c_rd: NMM, | ||
| ) -> None: | ||
| r"""[$M_{y,v,Rd}$] Reduced design plastic resistance moment [$Nmm$]. |
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| r"""[$M_{y,v,Rd}$] Reduced design plastic resistance moment [$Nmm$]. | |
| r"""[$M_{y,V,Rd}$] Reduced design plastic resistance moment [$Nmm$]. |
| w_pl_y : MM3 | ||
| [$W_{pl,y}$] Plastic section modulus about the y axis [$mm^3$]. | ||
| rho : DIMENSIONLESS | ||
| [$\rho$] Shear force ratio (see 6.2.8 (3) or (4)) [-]. |
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| [$\rho$] Shear force ratio (see 6.2.8 (3) or (4)) [-]. | |
| [$\rho$] Shear force ratio (see 6.2.8 (3) or equation 6.29 (rho)) [-]. |
| False, | ||
| ) | ||
| return LatexFormula( | ||
| return_symbol=r"M_{y,v,Rd}", |
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| return_symbol=r"M_{y,v,Rd}", | |
| return_symbol=r"M_{y,V,Rd}", |
| [ | ||
| ( | ||
| "complete", | ||
| r"M_{y,v,Rd} = \min\left(\frac{\left[W_{pl,y} - \frac{\rho \cdot (h_w \cdot t_w)^2}" |
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| r"M_{y,v,Rd} = \min\left(\frac{\left[W_{pl,y} - \frac{\rho \cdot (h_w \cdot t_w)^2}" | |
| r"M_{y,V,Rd} = \min\left(\frac{\left[W_{pl,y} - \frac{\rho \cdot (h_w \cdot t_w)^2}" |
| ), | ||
| ( | ||
| "complete_with_units", | ||
| r"M_{y,v,Rd} = \min\left(\frac{\left[W_{pl,y} - \frac{\rho \cdot (h_w \cdot t_w)^2}{4 \cdot t_w}\right] " |
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| r"M_{y,v,Rd} = \min\left(\frac{\left[W_{pl,y} - \frac{\rho \cdot (h_w \cdot t_w)^2}{4 \cdot t_w}\right] " | |
| r"M_{y,V,Rd} = \min\left(\frac{\left[W_{pl,y} - \frac{\rho \cdot (h_w \cdot t_w)^2}{4 \cdot t_w}\right] " |
Description
adds the equations
Fixes #582
Type of change
Please delete options that are not relevant.
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