魏鹏云, 李林, 金英玉. 局部分布荷载作用下超静定结构的内力求解. 力学与实践, xxxx, x(x): 1-7. DOI: 10.6052/1000-0879-24-146
引用本文: 魏鹏云, 李林, 金英玉. 局部分布荷载作用下超静定结构的内力求解. 力学与实践, xxxx, x(x): 1-7. DOI: 10.6052/1000-0879-24-146
Wei Pengyun, Li Lin, Jin Yingyu. Internal force solution of statically indeterminate structures under local distributed load. Mechanics in Engineering, xxxx, x(x): 1-7. DOI: 10.6052/1000-0879-24-146
Citation: Wei Pengyun, Li Lin, Jin Yingyu. Internal force solution of statically indeterminate structures under local distributed load. Mechanics in Engineering, xxxx, x(x): 1-7. DOI: 10.6052/1000-0879-24-146

局部分布荷载作用下超静定结构的内力求解

INTERNAL FORCE SOLUTION OF STATICALLY INDETERMINATE STRUCTURES UNDER LOCAL DISTRIBUTED LOAD

  • 摘要: 直接利用力法或位移法求解局部分布荷载作用下超静定结构的内力非常困难。本文利用积分法,借助单个集中荷载作用下的载常数推导了局部均布荷载和局部三角形分布荷载作用下的载常数,从而解决了直接利用位移法求解超静定结构在局部分布荷载作用下的内力问题。根据积分法推导局部分布荷载作用下的载常数要比力法、虚梁法及能量原理等巧妙易懂,可以加深学生对位移法和载常数的理解,拓宽学生的思维能力,具有一定的教学实践意义。

     

    Abstract: It is very difficult to solve the internal forces of statically indeterminate structures under local distributed load by directly using the force method or displacement method. This paper uses the integral method to derive the load constants under local uniformly distributed loads and local triangular distributed loads using the load constants under a single concentrated load, thus solving the problem of directly using the displacement method to solve the internal forces of statically indeterminate structures under local distributed loads. The derivation of load constant under local distributed load by integral method is more clever and easy to understand than the force method, the virtual beam method and the energy principle, which can deepen students' understanding of the displacement method and the load constants, broaden students' thinking ability, and has certain teaching practical significance.

     

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