A continuous beam ABC is fully restrained at point A and restrained at point C in all senses, except that it may move in the x direction. Beam length is 10 m and a uniformly distributed load of 75 kN/m applied along the entire length acting down. Determine all of the reactions and deflection at mid-span (point B) by using singularity functions. Take EI=575 MNm2. Your answer must include a sketch of the beam.