Combined Distortional and Fixed-Axis Torsional Buckling of I-Section Beams
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摘要: 分析了工字形截面梁在上翼缘有楼板或铺设花纹钢板时的屈曲(上下翼缘单独作为构件,腹板作为板件,承受轴力或弯矩),并给出了总势能公式,由于腹板与翼缘间保持垂直,为此建立位移函数,代入总势能公式求得临界荷载;采用薄壁构件理论研究了截面绕上翼缘的扭转屈曲,考虑上翼缘获得扭转约束,得到了临界应力公式;楼板很厚时截面发生畸变屈曲,给出了畸变屈曲临界应力计算式。对上述三组解进行了比较,通过修改绕定点扭转屈曲的薄壁构件理论公式,得到了精度良好的、略偏安全的简单公式,可用于上翼缘可以扭转的畸变屈曲应力的计算。Abstract: This study investigated the buckling behavior of I-section beams with a floor slab or profiled steel sheeting attached to the top flange. The upper and lower flanges were modeled as individual thin-walled members, and the web as a plate subjected to axial forces and bending moment. A total potential energy expression was established accordingly. Displacement functions were formulated on the premise that the web remains perpendicular to the flanges, and these functions were substituted into the total potential energy expression to obtain the critical load. The torsional buckling of the section around the upper flange was analyzed based on thin-walled member theory. Considering the torsional restraint on the upper flange, the formula for critical stress was derived. When the floor slab was sufficiently thick, the section exhibited distortional buckling, and the corresponding critical distortional buckling stress formula was proposed. By comparing the above three groups of solutions, a simple formula with satisfactory accuracy and a reasonable safety margin was developed by modifying the thin-walled member theory formula for fixed-axis torsional buckling, which is applicable to the calculation of distortional buckling stress when the upper flange is permitted to rotate.
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Key words:
- frame beam /
- distortional buckling /
- fixed-axis torsional buckling
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[1] 童根树.钢结构的平面外稳定[M].北京:中国建筑工业出版社,2013. -
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