Abstract
The expressions of the internal forces of the webs under the vertical loads of the simply supported beam type trusses with vertical and horizontal webs and without vertical webs are studied through the mathematical formula method. The variations of internal forces under different angles and spacings of the webs are simulated. The law of the optimal arrangement of the webs of the parallel-string simple-beam truss is obtained: under the condition that the rigidity of the rod is allowed, the form of no vertical web-type truss and reducing the span distance and inclination of the side span are advisable, which can save materials and reduce the weight as well. This method can be applied to the calculation of internal forces for arbitrary loads and truss forms.
Highlights
The domestic and foreign methods for calculating the internal force of a simple truss plane in statically determinate planes are mainly numerical solutions and graphical methods at present
The mathematical formula method is a simple and applicable method combining the index internal force method with the traditional cross section method, the truss regarded as an ideal one, which is composed of the calculation sections between the left end and the right end arranged in series, The equation derived from the section method containing only one unknown based on the principle of the virtual work method, is used to calculate the internal force of a simple abdominal truss [5]
The middle diagonal rods of two adjoining ascending cantilever rods are called ascending vertical web rods denoted by V up the corresponding descending vertical web rods are V down ; when the upper rod rods are bent at the upper end of a single vertical web rod, the single vertical rod is called “个” rod represented by Vo, if the vertical and horizontal rods are diagonal rods, they are called Vo′′
Summary
The domestic and foreign methods for calculating the internal force of a simple truss plane in statically determinate planes are mainly numerical solutions and graphical methods at present. To calculate the internal force using the numerical solution method, it is necessary to “truncate” the trusses and list the balance equations. The truncated rods can be obtained when they do not exceed 3 [1]. This method is widely used for calculating the internal forces of a simple truss, but it is very cumbersome to use for complex and multi-node trusses. The mathematical formula method is a simple and applicable method combining the index internal force method with the traditional cross section method, the truss regarded as an ideal one, which is composed of the calculation sections between the left end and the right end arranged in series, The equation derived from the section method containing only one unknown based on the principle of the virtual work method, is used to calculate the internal force of a simple abdominal truss [5]
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