Q3 A vertical infinitely stiff column is subjected to load P. Horizontal flexible beams are connected by rigid connection, as shown in Figure Q3. Support at A is fixed; supports at B and C are pin-supports. At point B beams are rigidly connected. (a) (b) (c) (d) (e) Derive the equilibrium equation for the deformed configuration. Assume small strains. [10] [6] [5] [2] What is the difference between global and local buckling? Calculate local buckling of the compressed beam using Euler critical force equation. [10] Assuming small angles, calculate the critical buckling force. Sketch the post-buckling displacements. In which direction will the vertical column buckle? A * L/2 L/2 EI L 2EI Figure Q3 P ma k B