Calculation of the deflection of a statically indeterminate beam truss

Аннотация

Flat truss with rhombic lattice has two fixed supports and belongs to the class of spacer structures. The problem is to derive  the dependence of the deflection on the number of panels. Three types of loads are considered. The forces in the truss rods and the reactions of the supports are found by the method of cutting the knots. To calculate displacement applied integral Mohr. To generalize the solution to an arbitrary number of panels used  the induction method. A number of solutions for trusses with different number of panels is generalized to an arbitrary number of panels. Computing forces in the rods and the analytical conversion are made in the system of computer mathematics Maple.