Double induction for deriving a formula for deflecting a frame truss with an arbitrary number of panels

Аннотация

A planar statically determinate truss has two supports, and an arbitrary number of panels in the crossbar. Lattice of the truss is diagonal type. The truss is loaded in the middle of the span. The task is to obtain the analytical dependence of the deflection of the truss against the number of panels in the crossbar for the case of two, three and four panels in the supporting parts of the frame. To solve the problem, the Maple computer mathematics system and the induction method are used to generalize the particular solutions to the general case