Analytical solution of the problem of shifting a movable support of a truss of arch type in the Maple system

Аннотация

The dependence of the horizontal displacement of the support on the number of panels of a statically definable symmetric truss, uniformly loaded over the nodes of the upper belt, is found. The solution is obtained by induction on the basis of a number of solutions for trusses with different numbers of panels. The forces in the rods in symbolic form are found by cutting the nodes from solving a system of linear equations in a matrix form. The Mohr integral is used to calculate the deflection. All truss rods are assumed to be elastic with the same cross-sectional area. The asymptotics of the solution is obtained by the number of panels.