b) The complete circular bar of Figure Q1b with radius R is compressed by equal and opposite forces F, as shown. i. Considering symmetry of the structure, find the generic expressions of the bending moment on the circular bar and write the integral expression of the total strain energy for the structure (neglect shear forces, don't solve the integrals). Note: The internal bending moment at point A (or point C) is assumed to be Mo. (8 Marks) ii. The internal total energy of the complete structure is UTOT 1 (R M 2RMF + It is assumed that F=300N, R=100mm and El=100Nm. Use Castigliano's Theorem and symmetric boundary conditions: - to calculate Mo (the internal bending moment at point A or point C). to calculate the change in the diameter AC due to the two forces. D RF 8 Figure Q1b. (5 Marks)