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| 开口和闭口截面薄壁梁约束扭转效应对比分析 |
| Comparative analysis of restrained torsional effect between thin-walled beams with open and closed section |
| 投稿时间：2024-10-10 修订日期：2024-11-13 |
| DOI： |
| 中文关键词: 薄壁梁 开口截面 闭口截面 约束扭转 翘曲应力 |
| 英文关键词:thin-walled beams open section closed section restrained torsion warping stresses |
| 基金项目:国家自然科学基金资助项目(52368020,51968040) |
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| 中文摘要: |
| 为了对比分析开口和闭口截面薄壁梁的约束扭转效应，本文基于薄壁杆件约束扭转理论给出了开口截面梁的约束扭转几何特性实用公式，并建立了开口和闭口截面简支梁和悬臂梁的约束扭转广义内力和位移的初参数解。选取闭口截面薄壁箱梁算例，在其底板中心虚构切口形成开口截面梁，详细对比分析两类薄壁梁的约束扭转广义内力、位移及应力。结果表明：开口截面的主扇性惯性矩约为闭口截面的19倍；开口截面简支梁跨中扭转角约为闭口截面梁的4倍；开口截面薄壁梁的广义内力(绝对值)大于闭口截面薄壁梁，开口截面简支梁跨中双力矩约为闭口截面简支梁的27倍，翘曲扭矩约为后者的3倍；开口截面梁的翘曲应力显著大于闭口截面梁。 |
| 英文摘要: |
| To compare the restrained torsional effect of thin-walled beams with open and closed sections, practical formulas for the restrained torsional geometric properties of open-section beams were derived based on the restrained torsional theory of thin-walled bars. The initial parametric solutions to the restrained torsional generalized internal force and displacement of simply supported and cantilever beams with open and closed sections were established. A thin-walled box girder was chosen as numerical example and the corresponding open section beam was selected by setting fictitious cut at the center of bottom plate. The generalized internal force, displacement and stress for restrained torsion of two types of thin-walled beams were compared and analyzed in detail. The results show that the principal sector moment of inertia of the open section is about 19 times that of the closed section. The mid-span torsional angle of the simply supported beam with open section is about 4 times that of the beam with closed section. The generalized internal force (absolute value) of the thin-walled beam with open section is significantly greater than that of the beam with closed section. The mid-span bimoment and the warping torque of the simply supported beam with open section is about 27 times and 3 times respectively that of the closed-section beam. The warping stress of the open-section beam is significantly larger than that of the closed-section. |
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