Problem 1 P Lima A column of length L is pinned at the bottom, and has a horizontal translational spring with stiff- ness k attached at the top (same example studied in class). Its loading condition is a vertical com- pressive axial force P. Consider the column rigid and use the rotation of the column at the base as degree of freedom e. A) Compute the critical buckling load with the bifurcation method, using a 2nd order approxima- tion for the displacements. Plot the resulting load-rotation diagram. In a couple of sentences, compare the results with those found in class. B) Compute critical buckling load, equilibrated paths, and stability with the energy method, us- ing a 1st order approximation for the displacements. Plot the resulting load-rotation diagram, including considerations on stability. In a couple of sentences, compare the results with those found in class. L Problem 1 P Lima A column of length L is pinned at the bottom, and has a horizontal translational spring with stiff- ness k attached at the top (same example studied in class). Its loading condition is a vertical com- pressive axial force P. Consider the column rigid and use the rotation of the column at the base as degree of freedom e. A) Compute the critical buckling load with the bifurcation method, using a 2nd order approxima- tion for the displacements. Plot the resulting load-rotation diagram. In a couple of sentences, compare the results with those found in class. B) Compute critical buckling load, equilibrated paths, and stability with the energy method, us- ing a 1st order approximation for the displacements. Plot the resulting load-rotation diagram, including considerations on stability. In a couple of sentences, compare the results with those found in class. L