2. Benchmark solution#

2.1. Calculation method#

The moment reduction coefficients resulting from linear elastic analyses are determined according to chapters RB 3651.1132 and RB 3651.1142 of RCC - MRx (Roche post- method).

spectral).

the determination of the equivalent stress, taking into account the moments knocked down and

moments not recorded, corresponding to all the loads in question.

2.2. Reference quantities and results#

The following quantities are tested at each node of the structure:

  1. reference constraint \(S\), calculated from the moments dependent on the movements,

  2. reference constraint \(S2\), calculated from the moments dependent on the forces,

  3. local reversibility \(t\), calculated from \(S\),

  4. local reversibility \({t}_{s}\), calculated from \(S2\),

  5. total reversibility \(T\), calculated from \(S\) and \(t\),

  6. total reversibility \({T}_{s}\), calculated from \(S2\) and \({t}_{s}\),

  7. spring effect factor \({r}_{M}\), calculated from \(t\) and \(T\),

  8. spring effect factor \({r}_{S}\), calculated from \({t}_{s}\) and \({T}_{s}\),

  9. maximum spring effect factor \({r}_{\mathit{MMax}}\),

  10. maximum spring effect factor \({{r}_{S}}_{\mathit{Max}}\),

  11. reduction coefficient \(g\), calculated from \({r}_{M}\) and material parameters,

  12. reduction coefficient \({g}_{s}\), calculated from \({r}_{S}\) and material parameters,

  13. optimized reduction coefficient \({g}_{\mathit{opt}}\), calculated from \({r}_{M}\) and material laws,

  14. optimized reduction coefficient \({{g}_{s}}_{\mathit{opt}}\), calculated from \({{r}_{S}}_{\mathit{Max}}\) and material laws,

  15. equivalent stress \({\sigma }_{\mathit{eq}}\), obtained by combining the moments of the various analyses and the coefficients \(g\) and \({g}_{s}\),

  16. optimized equivalent stress \({{\sigma }_{\mathit{eq}}}_{\mathit{opt}}\), obtained by combining the moments of the various analyses and the coefficients \({g}_{\mathit{opt}}\) and \({{g}_{s}}_{\mathit{opt}}\),

  17. indicator \({\sigma }_{V}<{\sigma }_{P}\),

  18. indicator \({\sigma }_{\mathit{Vs}}<{\sigma }_{P}\),

  19. indicator \({{\sigma }_{V}}_{\mathit{opt}}<{\sigma }_{P}\),

  20. indicator \({{\sigma }_{\mathit{Vs}}}_{\mathit{opt}}<{\sigma }_{P}\).