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Solved paper 31774

Question 1A steel tape with a cross sectional area of 0.04 c. Question 1A steel tape with a cross sectional area of 0.04 cm2 and weighing 1 kg has a length of 30.01 mbetween the zero and the 30m marks, when supported throughout at 200C and subject to atension of 6 kg. This tape is used to measure a distance along a uniform 5% grade and issupported throughout during the measurement. The tension applied is 14 kg. The temperatureof the tape is 50C. The measured slope distance is recorded as 345m. What is the correctedhorizontal distance? (K = 1.15 x 10-5 /0C per m and E = 2.1 x x106 kg/cm2)Question 2A 100 ft steel tape standardized at 68 F and supported throughout under a tension of 10 lbswas found to be 100.2 ft long. The tape had a cross sectional area of 0.009 in2 and a weight of0.03 lb/ft. The tape is used to measure a horizontal distance (AB) and the measured lengthcomes out to be 300 ft. CALTRANS plans a new ramp to connect Nutwood with US57. The rampstarts from point A (on Nutwood) to C (on US57) wherein point C will be vertically above point B(a current point on Nutwood that will get buried by ramp). The must have a smooth 4% grade,thus the tape will be used fully supported. Determine the correct slope distance to bemeasured (i.e. length AC) if a pull of 15 lbs is used and the temperature is 96 F. Question 1A steel tape with a cross sectional area of 0.04 c

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