多室正交异性板箱形梁桥剪滞的半解析法

SEMI-ANALYTICAL METHOD TO THE STRESSES AND SHEAR LAG OF ORTHOTROPIC MULTICELL BOX GIRDER BRIDGES

将带有纵向加劲肋的多室梯形箱形梁桥作为正交异性板折板结构考虑,采用艾瑞应力函数法给出了平面应力状态时正交异性板一般边界条件下的二维应力及位移的解析表达式一般形式。然后根据板梁在二者连接处的纵向线应变与侧向曲率两个形变协调条件解出了多室正交异性板箱形梁桥的应力分布与剪力滞后的半解析公式,使用时采用类似于有限条法的步骤计算,但输入数据和运算时间却很少。该方法兼有解析法精确条理与数值法方便灵活的特点,可推广应用于高层筒体结构和带有曲线预应力钢索的箱形梁桥等。

The multicell box girder bridge with stiffened deck-plates and curved prestressing cables is discretized into elements as orthotropic plates and web beams. The analytical expression of internal forces and displacements of orthotropic plates in general boundary conditions of plane stress problem is derived according to Airy stress function in Fourier series, then the semi-analytical solution of stress distribution and shear lag effect of multicell box girder bridges with orthotropic plate or with prestressing cables in the web are presented on basis of the deformation compatibility conditions of the plates and beams, with wide adaptability and reliable precision. The results are compared with that of other methods and experiments.