Problem 2 (20 points)\ A standardized

30-m

steel tape weighting

0.6kg

measures 29.998 meters supported at the two ends only with

7.5kg

of tension at standard temperature

20\\\\deg C

. A horizontal distance of

2874.56m

is measured with the tape fully supported, with

8.5kg

of tension on full tape length, and

4.5kg

on the partial length, and at a temperature of

10\\\\deg C

. The tape has a cross-sectional area of

0.03cm^(2)

, coefficient of thermal expansion

\\\\alpha =(0.0000116)/(\\\\deg )C

, and

E=2,100,000k(g)/(c)m^(2)

.\ (1) Standard Tension: (4 points)\ (2) Correction of Temperature: (4 points)\ (3) Correction of Sag: (4 points)\ (4) Correction of Tension: .(4 points)\ (5) True Horizontal Distance: (4 points)

A standardized 30m steel tape weighting 0.6kg measures 29.998 meters supported at the two ends only with 7.5kg of tension at standard temperature 20C. A horizontal distance of 2874.56m is measured with the tape fully supported, with 8.5kg of tension on full tape length, and 4.5kg on the partial length, and at a temperature of 10C. The tape has a cross-sectional area of 0.03cm2, coefficient of thermal expansion =0.0000116/C, and E=2,100,000kg/cm2. (1) Standard Tension: (4 points) (2) Correction of Temperature: (4 points) (3) Correction of Sag: .(4 points) (4) Correction of Tension: (4 points) (5) True Horizontal Distance: (4 points)