一端固定另一端简支钢梁在均布荷载作用下整体稳定承载力的研究

目的研究一端固定另一端简支钢梁,在均布荷载作用下弹性阶段失稳的整体稳定承载力的计算方法.方法应用附加约束条件下变分法的瑞利-里兹法,推导了弹性屈曲临界荷载的计算式并利用该方法进行了验证.结果编制了两种方法所得计算式的计算机程序,对196根不同截面和跨度的钢梁计算了临界荷载,计算结果符合规律.对计算结果的比较表明,两种方法所得计算式的计算结果相当吻合.结论研究表明,利用所编制的计算机程序便于计算所研究梁弹性阶段失稳的整体稳定承载力.与用于验证的计算式相比,笔者提出的计算式便于进一步研究简支端约束条件的改变对梁整体稳定性的影响.

Research on Carrying Capability of Overall Stability of Beam with Fixed End and Simply Supported End under Uniformly Distributed Loads

This research is on the calculation method of carrying capability of overall stability of beam with fixed end and simply supported end under uniformly distributed loads,which is not regulated by Code Design for Steel Structure.By using Rayleigh-Ritz variation method under additional restrain conditions,the formula of critical loads of elastic buckling is obtained.In order to check the result,ordinary Rayleigh-Ritz method is used and the formula of critical loads of buckling is derived in the same conditions.Two computer programs are compiled and used to calculate critical loads of 196 steel beams whose sections and spans are different,and the results agree with the rules.By comparing the results from both methods it is shown that the calculated results are very similar.The research indicates that the formula about critical loads,which is concluded in the end,is right,and the computer programs are beneficial to calculating the critical loads of overall stability of beam in elastic stage.Compared with the checking formula,the formula concluded in the end is beneficial to the research on effects of overall stability of beam when restrain conditions of simply supported end are changed.