黄海林++李金华++曾垂军++祝明桥

摘要：结合预制矩形肋底板混凝土双向叠合板（简称双向叠合板）的受力特点，分析了当前实际工程设计中存在的问题。针对双向叠合板的正交构造异性特征影响，采用荷载叠加法和正交构造异性板理论求解了均布荷载下一边固支三边简支双向叠合板挠度及弯矩的解。通过对解作形式变换和引入等效跨度比，将双向叠合板等效为各向同性双向板进行计算，提出了简化弹性计算方法。编程计算得到了双向叠合板强、弱方向刚度比为0.5和2.0，以及等效跨度比在0.5～1.0时的弹性系数。介绍了按照等效跨度比查找各向同性双向板弹性系数的线性插值法，并与编程计算结果进行对比。结果表明：采用简化弹性计算方法得到的结果与编程计算结果吻合良好，完全能够满足工程设计要求，该方法准确可行。

关键词：双向叠合板；均布荷载；正交构造异性特征；弹性计算方法

中图分类号：TU313.1文献标志码：A

Simplified Elastic Calculation Method of Precast Rectangular Rib Floor

Concrete Twoway Composite Slab with One Edge Clamped and

Three Edges Simply SupportedHUANG Hailin， LI Jinhua， ZENG Chuijun， ZHU Mingqiao

（School of Civil Engineering， Hunan University of Science and Technology， Xiangtan 411201， Hunan， China）Abstract： Based on the mechanical property of precast rectangular rib floor concrete twoway composite slab （twoway composite slab）， the existing problems in the practical engineering design were analyzed. According to the influence of the structural orthotropic characteristic of the twoway composite slab， the solutions of the deflection and bending moment of twoway composite slab with one edge clamped and three edges simply supported under uniformly distributed loads were solved by load superposition method and orthotropic plate theory. Through the form transformation of solutions and the introduction of equivalent span ratio， the twoway composite slab was calculated as equivalent isotropic twoway slab， and simplified elastic calculation method was presented. The elasticity coefficients of twoway slab composite were obtained by programming computation when the strong and weak directional stiffness ratios were 0.5 and 2.0 and the equivalent span ratio was 0.51.0. The linear interpolation method was introduced to find the elastic coefficients of isotropic twoway slab according to the equivalent span ratio， and the results were compared with the programming calculation results. The results shows that the results obtained by simplified elastic calculation method are in good agreement with the programming calculation results. The simplified elastic calculation method can completely meet the engineering design requirements， and is accurate and feasible.

Key words： twoway composite slab； uniformly distributed load； orthotropic characteristic； elastic calculation method

0引言

以預制预应力混凝土矩形肋底板（简称预制底板）作为永久性底模，在预制矩形肋的预留圆孔或矩形孔中穿置横向非预应力筋，预制底板拼接完成后沿拼缝安装适量防裂钢筋或钢筋网片，再在上面浇筑相应厚度的混凝土便形成预制矩形肋底板混凝土双向叠合板（简称双向叠合板）[17]。

与预制底板矩形肋平行方向（强方向）的双向叠合板刚度因铺设有预制底板而被加强，与预制底板矩形肋垂直方向（弱方向）的双向叠合板刚度因存在若干拼缝而被削弱，导致双向叠合板呈正交构造异性板特征[811]。……