TRANSVERSELY ISOIROPIC BEAM UNDER INITIAL STRESS

Starting from Novozhilov’s nonlinear equations of elasticity by appropriatesimplification and integration over the beam cross-section,a linearized set of equations for atransversely isotropic beam under initial non-uniform state of stress is obtained.In theabsence of initial stress,the obtained equations are reduced to well-known Timoshenkobeam equations.These equations are applied to investigate the vibration and buckling characteristics ofa transversely isotropic beam under uniform initial axial force and bending moment.