## 6 Conclusions
The authors declare no conflict of interest. The funders had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript, or in the decision to publish the results. \begin{table}
\begin{tabular}{c c c c} \hline \hline  & \(\alpha_{max}\) & \(\delta_{mec}\) & \(\delta_{u}\) \\  & [\%] & [\%] & [\%] \\ \hline
**GMRF** & 0.9 & 1.9 & 5.3 \\
**SMRF** & 5.2 & 9.5 & 4.8 \\
**OMRF** & 1.8 & 5.1 & 7.2 \\ \hline \hline \end{tabular}
\end{table} 
Table 11: Percentage scatter between the pushover analysis and the simplified approach. **Notation:** \begin{tabular}{p{28.5 pt} p{28.5 pt}}
**Symbol** & **Description** \\ \(\alpha_{y}\) & Multiplier of horizontal forces corresponding to the formation of the first plastic hinge \\ \(\alpha_{0}\) & Kinematically admissible multiplier of horizontal forces due to first\(-\)order rigid\(-\)plastic analysis \\ \(\Gamma\) & Modal participation factor. \\ \(\gamma_{s}\) & Slope of the mechanism equilibrium curve, evaluated for the specific structure \\ \(\gamma\) & Non\(-\)dimensional slope of the mechanism equilibrium curve \\ \(\gamma_{\infty}\) & Overstrength coefficient \\ \(\delta_{1}\) & Elastic top sway displacement, corresponding to the design value of the seismic forces \\ \(1/\delta_{1}\) & Slope of the elastic branch \\ \(\delta_{y}\) & Top sway displacement corresponding to the formation of the first plastic hinge Minimum top\(-\)way displacement between service conditions and formation of the first plastic hinge \\ \(\theta_{p,u}\) & Plastic hinge capacity assumed equal to 8.0 \(\partial_{y}\) according to Eurocode 8\(-\)3 [26] \\ \(\theta_{p,mc}\) & Plastic hinge rotation demand corresponding to the formation of the collapse mechanism \\ \(\theta_{y}\) & Chord rotation at yielding \\ \(\mu_{k}\) & Ductility for the specific limit state \\ \(\xi\) & Sensitivity factor for first storey members \\ \(\Phi_{k}\) & k-th component of the first mode eigenvector \\ \(\varphi\) & Stability coefficient \\ \(\Psi_{i}\) & Regression coefficient for the first plasticized member—Evaluation of plastic rotation rotation demand \\ \(\Psi^{\prime}_{i}\) & Regression coefficient for the critical member—Evaluation of plastic rotation demand \\ \(\alpha_{i}\) & Regression coefficient \\ \(b_{i}\) & Regression coefficient \\ \(E\) & Elastic modulus \\ \(F_{k}\) & Base shear force corresponding to the specific limit state \\ \(H_{0}\) & Total height of the storeys involved in the collapse mechanism \\ \(I_{b}\) & Moment of inertia of the beam \\ \(I_{c}\) & Moment of inertia of the column \\ \(L_{b}\) & Length of the beam \\ \(L_{c}\) & Length of the column \\ \(l_{m}\) & Length of the member \\ \(I_{m}\) & Moment of inertia of the member \\ \(M_{p,m}\). & Plastic moment of the member \\ \(n_{s}\) & Number of storeys \\ \(q\) & The ratio between the maximum structural bearing capacity and the yielding capacity \\ \(S_{\mu,s}\) & Spectral acceleration in terms of capacity linked to the considered limit state \\ \(S_{\mu}\)(\(T^{\star}\)) & Spectral acceleration demand, provided by the code, for the specific limit state. \\ (...)* & Properties referred to the equivalent SDOF system--\(m^{\star}\) (mass); \(T^{\star}\) (Vibration period); \(\omega^{\star}\) (Pulse) \\
**Abbreviations** & \\
**Acronym** & **Description** \\ GMRF & Global Moment Resisting Frames \\ SMRF & Special Moment Resisting Frames \\ OMRFs & Ordinary Moment Resisting Frames \\ TPMC & Theory of Plastic Mechanism Control \\ EC8 & Eurocode 8 \\ SDOF & Single Degree of Freedom \\ MDOF & Multiple Degree of Freedom \\ ADRS & Acceleration-Displacement Response Spectrum \\ \end{tabular}