A structure is subject to pressures in both sides as shown. The weight of the structure is 70 kN. 1. Assume that the structure is pinned at D to the ground, determine the tension at AB and reactions at D to remain the structure in equilibrium. 2. Assume that the structure is fixe at D and there is no tension anchor at A. Determine the reaction at D.

A long column such as the one depicted below loaded in compression initially along its axis has a tendency to rotate. Associated with that rotation the load P imparts tipping moments that are resisted by the springs. In the configuration below the springs are connected to the rod with a frictionless slider and remain perpendicular to the rod. The pivot at O is also frictionless, and the masses of the structure are negligible. P k L k (spring) Assume that the springs are at their happy (natural/unstretched) length when 0 = 0. (a) Let the spring constant k, the lengths b, L, and d be given parameters in the problem. Find the load load P as a function of the rotation angle 0 such that the system is in static equilibrium.