L/2 P B L/2 The shaft AC has bearings in A and C. Bearing A (a cylindrical roller bearing) does not allow any angular displacement (bending) of the shaft at the bearing. Bearing C (a spherical roller bearing) does allow angular displacement at the bearing. This shaft is loaded by force P in the center of the shaft. The weight of the shaft is negligible. Due to a production error, the bearings are not perfectly aligned and the right bearing at C is a small distance A higher than with a perfect alignment. a) Determine (using the principle of superposition) the occurring supporting force at C in algebraic form (so quantities such as P,L,A,E.I, etc. do not yet enter numerically). Given is: P = 5.0 kN, L = 1 m, EI = 26.4 kNm and 4 = 2.0 mm. b) How many times greater is the support force at C due to this production error, compared to the situation without a production error? Use the formula found in exercise la to determine this factor numerically.