A W10 × 22 structural steel wide-flange shape is simply supported on a span of 20 ft. A su...

A W10 × 22 structural steel wide-flange shape is simply supported on a span of 20 ft. A superimposed uniformly distributed load of 1000 lb/ft is applied to the beam. As the beam deflects under load, it comes into contact with a third support at midspan that is  below the level of the two outer supports. Calculate the reaction on the center support. Use the formula method.