- 摘 要
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（同濟大學建筑設計研究院（集團）有限公司， 上海 200092）
［摘要］對于鋼筋混凝土板式樓梯考慮踏步作用的現有研究，均是建立在理想勻質彈性材料的基礎上，其適用性尚缺乏全面的非線性有限元分析驗證。以踏步單元為研究對象，根據應力擴散假定及應變能等效原則，推導了梯板等效厚度理論公式。利用ABAQUS軟件進行了非線性有限元分析，驗證了等效厚度理論公式對于鋼筋混凝土材料是適用的。經與有限元計算結果對比，表明理論公式具有很高的精度并略偏于安全。實際工程中，可以利用該公式進行撓度計算，使樓梯設計更為合理。
［關鍵詞］板式樓梯； 應力擴散； 應變能； 等效厚度； 跨厚比
中圖分類號：TU375-2文獻標識碼：A文章編號：1002-848X(2020)13-0030-08
Deflection calculation and design suggestions for reinforced concrete slab stairs considering the effect of steps
XU Xiaoliang
(Tongji Architectural Design (Group) Co., Ltd., Shanghai 200092, China)
Abstract:The existing researches on reinforced concrete slab stairs taking the effect of steps into account are based on the assumption of the ideal homogeneous elastic materials, but these studies have not been verified comprehensively by nonlinear finite element analysis. Taking the step elements as the object of study, a theoretical formula of equivalent thickness was deduced on the basis of the stress dispersion hypothesis and the strain energy equivalence principle. It is demonstrated that the formula is applicable to the reinforced concrete materials by nonlinear finite element analysis using ABAQUS program. The comparisons between the results of theoretical formula and finite element analysis show that the proposed formula of equivalent thickness is of high precision and the results of the formula are lean to security. The deflection can be calculated easily with the formula, resulting in a more reasonable design of slab stairs in practical engineerings.
Keywords:slab stairs; stress dispersion; strain energy; equivalent thickness; span to thickness ratio
作者簡介：許曉梁，碩士，高級工程師，一級注冊結構工程師，Email:12XXL@tjad.cn。
