支撑梁扭转变形对连续板弯矩影响的分析

Consideration of effects of torsion deformation in bearing beam on continuous plate bending

实际工程中,楼板设计均未考虑支撑梁变形的影响,导致楼板设计不合理或工程事故.以弹性薄板的Levy解答为基础,分析了连续板梁结构中的支撑梁扭转变形对板挠曲及弯矩的影响,求得考虑支撑梁扭转变形时的板挠曲、支座及跨中弯矩的弹性理论解;通过计算结果的比较,分析梁两侧板跨度比a1/a2、支撑梁的抗扭刚度与板抗弯刚度比ρ/Dn1对支撑梁转角、板支座及跨中弯矩的影响程度;得到支撑梁不宜做成宽高比(或高宽比)过大的"窄梁"和支撑梁变形对连续板边端板块影响更大等结论,并针对连续板的设计提出一些改进方法.

In practical engineering, the design floor are not considering the influence of deformation of bearing beam, designing is not reasonable. Based on the Levy＇s solution of elastic thin plate, this paper analyzes the deflection and moment of plate in continuous plate beam structures when the torsion deformation of bearing beam changes, and obtains the calculation of support moment and mid-span moment of plate considering of the beam deformation. Through calculation and comparison of the ratio for plate of beam span on both sides al/a2, the ratio of torsion stiffness of the bearing beam and plate bending stiffness ρ/Dnl, this paper analyzes the influence of the bearing beam angle and board moment. The authors consider that the thickness ratio of bearing beam should not be too much and the deformation of bearing beam largely affects the continuous plate edge. In the paper, the authors also made some improved methods for the design of continuous plate.