Sometimes even engineers make mistakes. In 1870, the Eads Bridge was opened for traffic;...

Sometimes even engineers make mistakes. In 1870, the Eads Bridge was opened for traffic; it was the first bridge to span the Mississippi River at St. Louis and was one of the first largescale applications of steel. The bridge, which is still in use, has three arches, each about 500 ft (about 150 m) long. When the last connection was being made in June 1870, it was found that the middle arch was 2.5 in. (about 10 cm) too long. Some workers then applied ice to a section of the arch, hoping to reduce its length enough so that they could make the final connections. Do you think this approach worked? Justify your answer by calculating what length of the arch would have to be cooled with ice to reduce the length by the required 10 cm.