Formula for deflection of frame-type trusses under the action of a concentrated load in the middle of the span

Аннотация

A planar symmetrical truss with a straight upper belt and a lower belt extended at the ends is loaded with a constant load. The task is to derive a formula for the dependence of the deflection of the truss on the number of panels. In general, truss rods have a different cross section. For a certain number of solutions for trusses with different numbers of panels, induction in the environment of symbolic mathematics Maple yields the desired dependence. Deflection is determined by the formula of Maxwell – Mohr. The asymptotic property of the solution is found.