现浇空心板宏观基本本构关系  

On the macroscopic constitutive relationship of cast-in-situ hollow slabs

作　　者：谢靖中[1] 

机构地区：[1]上海交通大学,上海200030

出　　处：《土木工程学报》2006年第7期57-62,共6页China Civil Engineering Journal

摘　　要：研究宏观等效泊松比和弹性模量。首先通过解析方法,推导空心板作为双向肋板的泊松比的计算公式。其次根据应力分布特点,提出圆孔空心板横管向弯曲、轴压弹性模量的有效截面计算方法,确定竖向倾角0α=22.5°的孔半径所在水平线为有效截面的边界线,并给出计算公式。此外研究还发现,双向肋板中存在横肋引起刚度增大的“横肋效应”现象,给出该现象的量化表达式。所提方法和公式均通过理论、数值验证,是现浇空心板结构计算的理论基础。A method is studied for computing the equivalent Poisson ratio and the elasticity modulus of cast-in-situ hollow slabs at the macroscopic level. The formulas are derived theoretically, for computing the Poisson ratio of castin-situ hollow slabs with two-way ribs. Based on the characteristics of stress distribution, an effective section area method is proposed for computing both the bending and the axial elasticity moduli of a circular hollow-core slab at the transverse cross-section. The boundary of the effective area is suggested to be at a radial distance with a vertical slope angle of α0=22.5°. Relevant formulas for computation purpose are also proposed. Meanwhile, the phenomenon of transverse-rib effect, which may lead to an increase of the slab stiffness, has been observed in the present study. This phenomenon is modeled by using an appropriate mathematical relationship. The proposed methods and formulas are carefully verified by both theoretical and numerical means, and they may serve as a foundation for structural analysis of cast-in-situ hollow slabs.

关 键 词：现浇空心板 构造各向异性 本构关系 泊松比 弹性模量 横肋效应 

分 类 号：TU375.2[建筑科学—结构工程] TU313.1