Q3 3 A vertical, infinitely stiff column is subjected to a load P. The column is braced horizontally by a rigidly connected, flexible beam and a spring with stiffness k, as depicted in Figure Q2. The structure has pin supports at locations A and B. Derive the equilibrium equation for the deformed configuration. Assume small strains. [10] Assuming small angles, calculate the critical buckling force for the column. (b) (c) Sketch the post-buckling displacements. (d) In which direction will the vertical column buckle? [7] [6] [2] (e) Explain the meaning of a bifurcation point in the context of structural stability. How many bifurcation points has the structure shown in Figure 2? [8] * A L P k EI = B EI L Figure 2