Abstract
The tube building is represented by a set of six differential equations which represent the flexural and shear deformation, and the shear-lag effect of the structure. The model is divided into segments of constant properties to represent changes in member sizes along the height of the building and to reduce the numerical errors accumulated by the approximate method. A detail explanation of the fourth-order numerical technique used to solve for the differential equations is included so that readers may easily construct a computer program to study the behavior of tube structures. Also included are examples of tube buildings solved by the numerical technique compared to results of finite element method. The comparisons show that the numerical solution of the continuous models yield excellent results while requiring less than one percent of the computational time and input/output efforts associated with the finite element method.
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