1. A pipe runs between two buildings, rigidly attached to each. Due to past repairs, the left 80 foot lengthis cast iron and the right is the more modern PVC. The joint in the middle rests on a cradle on top of apier but is not attached.Assume the cradle is 1 inch wide and the joint was in the middle at the time ofrepair, when the outside temperature was 60°F. The cast iron pipe is 8” o.d.,¼” thick and has a stiffnessof 25000 ksi.The PVC pipe is 8” o.d., 1/8” thick, and has a stiffness of 500 ksi. The thermal expansioncoefficients for cast iron and PVC are 7.0 x 10^‐6 and 1.4 x 10^‐6in/in/°F, respectively.Poisson's ratio forPVC can be taken as 0.4.a). (5 points) Determine the distance from the left edge of the cradle to the joint for temperatures of 0, 30,60, 90, and 120 °F. HINT: You should only have to do the bulk of the calculations once.b) (2 points) At what temperature(s) would the joint be at the edge of the cradle?c)(3 points) As part of mounting the pipe ends to the cradle, a worker inadvertently applies a torque to thejoint of the pipes of 400 lbft. What are the maximum shear stresses and angle of twist in the cast ironand PVC?