论文部分内容阅读
目的研究采用纵向变厚度(LP)钢板作翼缘的翼缘纵向变厚度工型截面简支梁的变形,推导单点加载时其变形计算公式,解决该类梁的弹性变形问题.方法运用基于变形体虚功原理的单位荷载法和直接积分方法推导不同跨度、截面尺寸和翼缘厚度变化率下跨中挠度计算公式,并讨论剪切变形的影响;运用通用有限元软件ANSYS的BEAM188和SHELL181两种单元进行对比验证.结果考虑剪切变形的理论计算结果与BEAM188单元计算结果相差不超过0.5%,与SHELL181单元计算结果相差最大为3%,计算结果十分接近,验证了理论解的正确性.结论与传统等厚度工型截面梁相比,采用此种翼缘变厚度工型截面梁,使构件截面设计更加合理,在承载力相同的情况下,可大大减少钢材用量;且可降低剪切变形影响;建议采用此种翼缘纵向变厚度工型截面梁行结构优化设计.
Aim To study the deformation of simply supported beams with longitudinal thickening flanges of longitudinal flange (LP) steel plate, derive its deformation formula at single point loading, and solve the problem of elastic deformation of such beams. Deformation body virtual work principle of unit load method and direct integral method to derive different span, section size and flange thickness variation rate under the mid-span deflection formula and discuss the influence of shear deformation; using common finite element software ANSYS the BEAM188 and SHELL181 Results of the theoretical calculation of shear deformation considering the results of BEAM188 unit difference of not more than 0.5%, and SHELL181 unit calculated the difference between the maximum of 3%, the calculation results are very close to verify the theoretical solution of the correctness .Conclusion Compared with the traditional constant-thickness cross-section beam, the section-beam with variable thickness flanges can make the cross-section design more reasonable and can reduce the amount of steel greatly under the same bearing capacity. Shear deformation effect. It is suggested that this kind of flange longitudinal thickening section beam structure optimization design.