Lower and upper bounds to the ultimate loads of buckled redundant trusses
Synopsis. In the buckled state, statically indeterminate, rigid-jointed trusses support loads which are generally in excess of those corresponding to initial instability. As buckling proceeds, the loads usually approach limiting values, called "ultimate loads". Two theorems are derived establishing lower and upper bounds to the ultimate loads. Elastic behavior is assumed throughout. Introduction. If the rigid joints of a truss are subjected to a set of external loads, whose values are fixed except for a common multiplier X0 , the equations of equilibrium of the z-th joint are of the type1