5. A cantilever beam of length 1 m is subjected to a uniformly distributed load p(x) = p0 =

12,000 N-m and a clockwise couple 5,000 N-m at the tip. The load factors for the distributed load and couple are, respectively, 1.5 and 2.0. When the cross-section is circular, calculate the minimum diameter. Use Young's modulus 80 GPa and yield strength 250 MPa.