在组合楼盖体系中,当组合梁作为横向承重构件时,其变形对于楼板的内力和变形有很大影响.采用薄板理论对组合楼盖竖向承重体系中的单向混凝土板进行分析,建立控制方程,运用单三角级数法得到其挠度函数,进而求得曲率和弯矩的计算式并进行简化.通过与有限元结果对比,验证了简化公式的准确性.参数分析结果表明,随板相对刚度增大和梁上荷载增大,板内横向曲率和弯矩减小.即使在单向板中,计算板内弯矩也需同时考虑两个方向的曲率.
In composite slab-on-girder floor systems the deflections and internal forces of concrete slabs are greatly influenced by the deflections of adjacent girders. The constitutive equations are derived according to the thin plate theory and solved with trigonometric series for the slab deflection to satisfy boundary conditions. The simplified formulae for curvature and moment in slab are derived and validated by comparing with the finite element solutions. The results of parameter analysis show that transverse curvatures and moments in slabs decrease as the slab to girder rigidity ratio and loads on girders increase. Even in one-way slabs, two-way curvatures should be considered when calculating moments in slabs.