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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.
The prefabricated ribbed concrete slab (bidirectional composite slab) has the characteristics of orthogonality, and the engineering design can not directly use the look-up table method to calculate the elasticity of the cast-in-place slab.According to the uniform load effect The elastic differential equations of simply supported biaxial plates under four sides are obtained. The basic differential equations of the flexible plates are obtained by using the theory of the orthogonal plates, and the expressions of deflection and bending moment are obtained. By introducing the equivalent span ratio, For the two-way isotropic board, a simplified elastic calculation method of bidirectional composite board is proposed.The mid-span elastic coefficient of the two-way composite board under different span ratios of strong and weak directional stiffness ratios of 2 and 0.5 is obtained by programming, The comparison of the span coefficient with that of the bilinear plate shows that the proposed method is accurate and feasible.