Theory of Elastic Stability

a₁ angle applied approximate assumed axial axis B₁ bar with hinged beam bending moment bending moments buckled bar built-in ends calculating the critical center line coefficients column compressed bar compressed members compressive force compressive stress corresponding critical load critical stress critical value cross section deflection curve deformation denote determining differential equation discussed displacement eccentricity energy method energy of bending equal Euler's Euler's formula expression factor of safety flanges flexural rigidity formula given half-waves hinged ends I-beam increase initial curvature lateral buckling lateral load magnitude maximum moment of inertia notation plate produced proportional limit rectangular reduced length rotation shearing force shown in Fig simply supported slenderness ratio solution span square inch strain energy strip Substituting T2EI Table taking tion vertical yield-point stress zero ΕΙ дх