The following information is available from the tensile specimen of a material: Initial size: 0.505 in. diameter; 2.00 in. gage length. Final size: 0.300 in. minimum diameter; 0.420 in. diameter of uniform section outside of necked down region, 2.60 in G.L. Loads: Yield = 1600 lb., Maximum = 20,000 lb., Strain at yielding = 0.0025 in./in.

(a) What is the maximum diameter head that can be cold upset on the end of a 1in. diameter shaft of this material?

(b) How much springback would occur on unloading a cylinder 0.505 in. diameter and 1.0000 in. long (initial unloaded size) after it was compressed to a loaded length of 0.8000 in.?