局部分布载荷作用下超静定结构的内力求解  

INTERNAL FORCE SOLUTION OF STATICALLY INDETERMINATE STRUCTURES UNDER LOCAL DISTRIBUTED LOAD

作　　者：魏鹏云 李林[1] 金英玉[2] WEI Pengyun;LI Lin;JIN Yingyu(College of Water Conservancy and Civil Engineering,Tarim University,Alar 843300,Xinjiang,China;College of Construction Engineering,Jilin University,Changchun 130000,China)

机构地区：[1]塔里木大学水利与建筑工程学院,新疆阿拉尔843300 [2]吉林大学建设工程学院,长春130000

出　　处：《力学与实践》2025年第2期409-415,共7页Mechanics in Engineering

基　　金：农业水利工程省级一流本科专业建设项目(22000030107);塔里木大学校长基金项目(TDZKSS202260);塔里木大学高等教育教学改革研究项目(TDGJYB2412)资助。

摘　　要：直接利用力法或位移法求解局部分布载荷作用下超静定结构的内力非常困难。本文利用积分法,借助单个集中载荷作用下的载常数推导了局部均布载荷和局部三角形分布载荷作用下的载常数,从而解决了直接利用位移法求解超静定结构在局部分布载荷作用下的内力问题。根据积分法推导局部分布载荷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,拓宽学生的思维空间,具有一定的教学实践意义。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 locally uniformly distributed loads and locally 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 locally distributed loads.The derivation of load constant under locally distributed load by integral method is more clever and easy to understand than the force method,the virtual beam method or 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.

关 键 词：局部分布载荷 超静定结构 载常数 位移法 固端弯矩 

分 类 号：TU311.1[建筑科学—结构工程]