面板剪滞有效宽度的二维弹性理论解答

采用二维应力函数及板梁形变协调条件求得了板梁结构因剪力滞后引起的面板有效宽度,给出了几种典型情况的面板应力及有效宽度弹性理论精确解答的解析表达式及实用计算公式,并分析了荷载、结构型式、梁截面尺寸等对有效宽度的影响。计算结果与原型实测结果吻合良好。本文推荐的实用公式与曲线比以前用近似解答得到的有关结果更加准确合理。计算分析还得到了一个重要结论;简支梁面板纵向正应力沿截面横向变化在满跨均载作用下符合二次抛物线分布,而在跨中集中荷载下却符合三次抛物线分布,这为一些近似方法提供了抛物线次数假定的依据。

EXACT SOLUTION OF DECK-PLATE EFFECITVE WIDTH BY PLANE ELASTICITY THEORY

The effective width of plate in bending of plate girder system was reviewed. Airy stress function and plate girder deformation compatibility equations were used to solve the plate's effective width due to shear lag effect for several typical structures. The exact analytical solution and some practical formulas were presented, and the effects of load, girder form and transverse section size on the plate's effective width were analysed. The practical data and curves given here are more accurate and reasonable than the results obtained by before other approximate methods. Another significant result obtained was that the longitudinal normal stress distribution along transverse section of deck-plate is 2-order parabola in the case of uniformly distributed load and 3-order parabola in midspan concentrated load.