本研究使用有限元素套裝軟體ABAQUS，建立一鋼承鈑複合樓版之數值分析模型，首先藉由基本平板力學已知解析解，理論計算正交向複合樓版強、弱軸之各別剛度，以及平板承受載重作用下之最大撓度變位，使此已知解與數值分析結果相互比較，以驗證數值分析結果之正確性。本研究考慮不同複合樓版之斷面尺寸參數，數值分析樓版斷面幾何形狀對其整體勁度之影響，主要樓版斷面尺寸參數包括鋼承鈑溝槽深、下溝尺度、側向寬度及樓版強弱雙軸之長寬，加以無因次化後，發展不同斷面尺寸樓版之設計圖表。
數值分析結果發現，斷面幾何形狀確實將影響鋼承鈑複合樓版之整體勁度，但不同鋼承鈑長寬對其影響之效應更加明顯。另外，強弱軸放置於不同長短邊，亦將影響複合樓版力學行為之數值分析結果。目前鋼承鈑兩向剛度無法直接藉由理論公式計算獲得，因此，本研究採用不同線彈性疊加方式，同時，經由數值分析比較發現，疊加後樓版剛度簡單計算式精準度高，可應用於直接估計複合樓版之勁度與相對應變位。

A numerical model of composite slab was generated by using ABAQUS to analyze the maximum deflection.The exact solution was calculated through the basic plate mechanics, this entails the calculation of the respective stiffness of strong and weak axes in the determination of the maximum deflection of the orthogonal composite slab. A comparason of the exact solution and numercial solution was made to verify the precision of the numerical analysis results. This study considers the different cross-sectional dimension parameters of the composite slab to analyze the influence of the section’s geometry on the it’s stiffness. The parameters considered for the steel deck were: the corrugation depth, the bottom flat panel width, the horizontal projection of the inclined panel and the width of steel deck. For the composite slab only the length and width parameters were considered. A nondimensional deflection map of the different cross-sections of the composite slab was developed.
Numerical analysis results showed that cross section geometry will affect the stiffness of the composite slab. However, the stiffness of composite slabs with fixed cross-sections are significantly influenced by their lengths and widths.In addition, the weak axis placed at different lengths, will also affect the results of numerical analysis on mechanical behavior of composite slab. The biaxial stiffness of the composite slab cannot be directly calculated by the known formula, therefore, in this study a new linear superposition method was developed to provide higher precision in the calculation of stiffness compared to conventional methods. Comparing numerical analysis and the superposition method, it was found that the superposition method has a higher accuracy and can be applied to estimate the stiffness

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