For a beam, if the number of its unknown support reactions is 5, then this beam is unstable statically determinate statically indeterminate

The following structures are all rigid frames. Please state that the structures in each sub-question are unstable structures, statically determinate structures, or statically indeterminate structures.

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.

The state of strain of the element has components of €x = 500(106), y = 300(106), Yxy=-200(10-6). Determine the equivalent state of strain on an element at the same point oriented 45° CW with respect to the original element. Eydy! dy Yxy 2 y Yxy 2 -dx- €xdx ·x