两点加载翼缘纵向变厚度工型截面简支梁变形的解析解法
发布时间：2019-01-02 13:30
【摘要】：为充分发挥钢板强度和利用纵向变厚度钢板的厚度变化特性,根据简支梁两点加载情况下的内力分布,使用翼缘纵向变厚度工型截面梁。由于梁截面沿梁纵向变化,其刚度与等厚度工型截面梁有较大差异,需要对其进行深入研究。本文采用单位荷载法,运用积分方法推导得到考虑剪切变形影响的变形计算公式;并且结合具体算例,建立有限元计算模型进行对比分析,得出理论解与有限元解相对误差不超过3%,验证了理论解的正确性。分析结果表明:两点加载时采用翼缘厚度变化率为8mm/m的工型截面梁,在承载力相同且满足变形条件时,可节约11%的钢材,大大减少用钢量,并且降低剪切变形影响。此种形式的梁为结构优化设计提供了一种可行性方案。
[Abstract]:In order to give full play to the strength of steel plate and the thickness variation characteristics of longitudinal variable-thickness steel plate, according to the internal force distribution of simply supported beam under two-point loading, the longitudinal variable thickness I-section beam with flange is used. Due to the longitudinal variation of the beam section, the stiffness of the beam is different from that of the I-section beam of equal thickness, so it is necessary to study the stiffness of the beam. In this paper, the unit load method and integral method are used to deduce the formula of deformation considering the influence of shear deformation. Combined with a concrete example, a finite element calculation model is established for comparative analysis, and the relative error between the theoretical solution and the finite element solution is less than 3, which verifies the correctness of the theoretical solution. The analysis results show that the I-section beam with 8mm/m flange thickness change rate at two point loading can save 11% steel at the same bearing capacity and meet the deformation condition, reduce the amount of steel used, and reduce the influence of shear deformation. This type of beam provides a feasible scheme for structural optimization design.
【作者单位】： 清华大学土木工程系土木工程安全与耐久教育部重点实验室;哈尔滨工业大学土木工程学院;鞍钢股份产品发展部;鞍钢技术中心;
【基金】：国家自然科学基金重点项目(51038006)
【分类号】：TU391
本文编号：2398553
[Abstract]:In order to give full play to the strength of steel plate and the thickness variation characteristics of longitudinal variable-thickness steel plate, according to the internal force distribution of simply supported beam under two-point loading, the longitudinal variable thickness I-section beam with flange is used. Due to the longitudinal variation of the beam section, the stiffness of the beam is different from that of the I-section beam of equal thickness, so it is necessary to study the stiffness of the beam. In this paper, the unit load method and integral method are used to deduce the formula of deformation considering the influence of shear deformation. Combined with a concrete example, a finite element calculation model is established for comparative analysis, and the relative error between the theoretical solution and the finite element solution is less than 3, which verifies the correctness of the theoretical solution. The analysis results show that the I-section beam with 8mm/m flange thickness change rate at two point loading can save 11% steel at the same bearing capacity and meet the deformation condition, reduce the amount of steel used, and reduce the influence of shear deformation. This type of beam provides a feasible scheme for structural optimization design.
【作者单位】： 清华大学土木工程系土木工程安全与耐久教育部重点实验室;哈尔滨工业大学土木工程学院;鞍钢股份产品发展部;鞍钢技术中心;
【基金】：国家自然科学基金重点项目(51038006)
【分类号】：TU391
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