The rigid beam rests in the horizontal position on two 2014-T6 aluminum cylinders having the unloaded lengths shown. The Poisson ratio of the aluminum, v(al)=0.35. If cylinder A has a diameter of 30 mm and cylinder B has a diameter of 20 mm, determine:
a. The placement x of the applied 100-kN load so that the beam remains horizontal.
b. What is the new diameter of cylinder A after the load is applied?