Steady-state solutions for a suspension bridge with intermediate supports
DICATAM, Università degli Studi di Brescia, Via Valotti 9, Brescia, 25133, Italy
Boundary Value Problems 2013, 2013:204 doi:10.1186/1687-2770-2013-204Published: 9 September 2013
This work is focused on a system of boundary value problems whose solutions represent the equilibria of a bridge suspended by continuously distributed cables and supported by M intermediate piers. The road bed is modeled as the junction of extensible elastic beams which are clamped to each other and pinned at their ends to each pier. The suspending cables are modeled as one-sided springs with stiffness k. Stationary solutions of these doubly nonlinear problems are explicitly and analytically derived for arbitrary k and a general axial load p applied at the ends of the bridge. In particular, we scrutinize the occurrence of buckled solutions in connection with the length of each sub-span of the bridge.
MSC: 35G30, 74G05, 74G60, 74K10.