civil engineering surveying question

Civil & Environmental Engineering Spring 2014 EGCE 214 Engineering Surveying

Homework #1

Using a 200 ft tape weighing 0.01 lb/ft and with a cross-sectional area of 0.008 in2 was used to conduct taping of a highway sector over two days. The highway had an upward slope of 4% for approximately first half of the distance and was flat for the remaining portion. On the first day, the sloped portion was taped and the remaining length was taped on the second day. Supporting the tape throughout the length, the measured distance for the slope portion was 1300 ft. The temperature on that day was 70°F and a tension of 25 lbs. On the second day, the measured distance of the flat portion of the highway section was 1360 ft. The temperature was 76°F and a tension of 30 lbs was used to pull the tape. The tape was supported throughout the distance. After the completion of the survey, the tape was brought to a standardizing room and it was found that the actual length of the tape was 200.040 ft at 68°F with 20 lbs of tension. The tape was supported throughout its 200 ft length during the standardization. The coefficient of thermal expansion for the tape was 6.5×10-6/°F and a Young’s Modulus of Elasticity of 29×106 lb/in2. Calculate the corrected horizontal distance of the entire highway sector.