A steel [E = 200 GPa; ν = 0.3; α = 10.9 ×10-6/°C] plate has…

A steel [E = 200 GPa; ν = 0.3; α = 10.9 ×10-6/°C] plate has a rectangular hole at its center and four circular holes at the corners. At an initial temperature of Ti = –16°C, the plate is 85 mm wide, 140 mm long, and 13 mm thick. The rectangular hole is 25 mm wide and 75 mm long. The circular holes have a diameter of 25 mm. At a final temperature of Tf = 48°C, determine the length of the rectangular hole.