Solved: 3. The following structure will be made with round aluminum rods with

Question

3. The following structure will be made with round aluminum rods with E-68 GPa and v=0.28. The applied forces Fx and Fy are equal to 3 and 5 kN, respectively. 1 m B 1 A Fx Fy 2 m a) Point A will move along x, y and z as a result of the applied forces. Use Castigliano's second theorem to find the displacements of point A along x and y given that the structure has a uniform diameter equal to 10 cm. Consider only bending and torsion effects. b) Find the rotation about z at point A using Castigliano's second theorem. Consider only bending and torsion effects. Note: consider solving parts a and b at the same time. When there is bending in two planes, for example, moments along x and along y for a member parallel to z, the strain energy produced by each moment can be calculated separately and added to get the total strain energy of that member.