In the past ten years, the concept of second-order or advanced analysis has been described in various national design codes, such as the design code for load and resistance coefficient of steel structures (1986) and the Australian standard (AS4 100 1990). Different from 1 linear analysis, in 1 linear analysis, the instability and second-order effects of component strength are checked by the component design formula in the specification, and the second-order analysis automatically includes the effects of these nonlinear terms. Therefore, in the analysis, the stress considering the second-order P-δ and P-δ effects can be calculated automatically, and compared with the coefficient yield stress or design strength. In this way, the empirical method of amplifying the torque due to the large change of geometric shape becomes unnecessary, which is greatly convenient and accurate. In addition, second-order and advanced analysis, including various linear and nonlinear terms, provides a more effective and accurate method to evaluate the strength, stability and applicability of structures, and is expected to be widely accepted by engineers, provided that an effective and robust analysis method is provided. This "comprehensive design and analysis method" aims to use complex second-order analysis to design practical steel frames that meet the requirements of design specifications. Literature investigation shows that the typical second-order analysis method ignores many important characteristics and requirements of actual design, including the initial defects and their directions, the consistency between linear and nonlinear models (because second-order analysis requires several elements for each component) and the load along the component. The proposed method contains these items, so it can be directly used to design real and practical steel frames that meet the requirements of advanced analysis.

English: In the past ten years, the concept of second-order or advanced analysis has been described in various domestic design codes, such as Code for Design of Load and Resistance Coefficient of Structural Steel Buildings (1986) and Australian Standard (AS4 100 1990). Different from linear analysis, linear analysis uses the meta-design equation in the code to check the anti-instability and second-order effect of component strength, and the second-order analysis automatically includes the effects of these nonlinear conditions. As a result, the stress allows second-order P-δ and P-δ effects, which can be automatically calculated and compared with yield stress or design strength, so that the empirical method of expanding torque due to large geometric changes is no longer needed in the analysis, and the results are more convenient and accurate. In addition, second-order and advanced analysis, including various linear and nonlinear conditions, is expected to be widely accepted by engineers in order to calculate the moment of members more accurately and provide more effective and accurate estimation methods of structural strength, stability and applicability, and it is feasible to provide effective analysis methods. "Progress in Comprehensive Design and Analysis" is aimed at the design of applied steel frames needed to realize specifications by using complex second-order analysis. According to the literature investigation, the typical second-order analysis method ignores many important characteristics and practical design needs, including the initial defects and their directions of components, and the consistency between linear and nonlinear models, because it is necessary to carry out second-order analysis on several components of each component and the loads along the components. The proposed method includes these clauses so that it can be directly used to design and apply steel frames to meet advanced analysis requirements.