| 摘要: |
| 随着高水头水利水电工程的开发，深孔闸门应用越来越普遍。在梁构件设计时，按其结构特点，已属薄壁深梁讨论范畴，若仍采用传统设计中细长梁纯弯理论，则会导致计算结果出现较大误差。由此，亟待给出一种简明准确的主梁正应力计算方法。基于叠加思想和材料力学方法，充分考虑翘曲及挤压影响，建立了合理的力学计算模型，推导出工字形截面深梁在横向均布荷载作用下正应力的解析计算式，并分析了在不同跨高比和翼缘与腹板面积比下该方法计算结果与现有计算方法及数值模拟间的相对误差及适用范围。进而结合工程实例，给出了不同计算方法的精度评价。计算结果表明，相比于现有解析计算方法，该方法计算结果精度较高且适用范围较广，可为梁结构设计提供参考。 |
| 关键词: 深梁 工字形截面 翘曲 挤压 均布荷载 |
| DOI：10.12170/201904016 |
| 分类号:TV31 |
| 基金项目:国家自然科学基金资助项目(51179164)；国家科技支撑计划项目(2012BAD10B02)；高等学校博士学科点专项科研基金项目(20120204110024) |
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| Analytical solution of positive stress for main beam of deep-hole gate considering effects by warpage and extrusion |
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CHEN Yingxin1, WU Siyuan2, LI Si3, WANG Zhengzhong1, WU Shoujun1
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1.College of Water Resources and Architectural Engineering, Northwest A & F University, Yangling;2.College of Civil Engineering, Tongji University, Shanghai;3.Shanghai Thousand Year Design Co., Ltd., Shanghai
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| Abstract: |
| With the development of the high-head hydropower projects, the application of the deep-hole gates is becoming more and more popular. In this situation, the design of the main beams of the deep-hole gates has already belonged to the range of the deep-beams. If the pure bending theory of slender beams in traditional design is still used, the calculation results will be erroneous. Therefore, it is necessary to give a concise and accurate method for calculating the normal stress of the main beams of the deep-hole gates. In this paper, based on the superposition idea and material mechanics method, considering warpage and longitudinal extrusion effects, a reasonable mechanical calculation model is developed, and the analytical formulae for calculating the positive stress of the I-section deep beam under lateral uniform loads are derived. And the analyses of the relative errors and applicable ranges between the calculated results and the existing calculation methods and numerical simulation under different span-height ratios and flange-web area ratios are carried out. Then the accuracy evaluation of different calculation methods is given with case histories in the practical engineering. The analysis and calculation results show that compared with the existing analytical methods, the calculation results in this paper have higher accuracy and wider application, and can provide a technical reference for the design of the deep-beam structures. |
| Key words: deep beam I section warpage extrusion uniform load |
