均布荷载作用下四边简支预制带肋底板混凝土双向叠合板的简化弹性计算方法

Simplified elastic calculation method of composite concrete two-way slab with simply supported edges under uniformly distributed loads

预制带肋底板混凝土双向叠合板(简称双向叠合板)呈正交构造异性板特征,工程设计不能直接沿用现浇板的查表法进行弹性计算.针对正交构造异性特征影响的均布荷载作用下四边简支双向叠合板的弹性计算,采用正交构造异性板理论求解挠曲面基本微分方程,得到了挠度及弯矩表达式,通过形式变换,引入等效跨度比,将双向叠合板等效为双向同性板进行计算,提出了双向叠合板的简化弹性计算方法.通过编程计算得到强、弱方向刚度比为2和0.5时不同跨度比下双向叠合板的跨中弹性系数,与基于等效跨度比查双向同性板得到的弹性系数进行了对比,结果表明本文方法准确可行.

Due to the structurally orthotropic characteristic of composite concrete two-way slab with precast ribbed panel （ composite two-way slab）, the look-up table method of isotropic cast-in-place slab could not be directly used. Basic differential equation of deflection surface for composite concrete two-way slab with simply supported edges under uniformly distributed loads was established, the calculation formulae for the deflection and bending moment were obtained. Through the transformation of function form and the introduction of equivalent span ratio, simplified elastic calculation method of composite two-way slab with simply supported edges under uniformly distributed loads was presented. The elasticity coefficients for composite two-way slab with the stiffness ratio of 2 and 0.5 were obtained according to program calculate. The comparison of elasticity coefficients between the simplified elastic calculation method and the look-up table method was conducted, which shows that the simplified elastic calculation method is accurate and feasible.