3_tutorial_chaining Q - 3 and the coefficient of thermal...

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Tutorial: Chaining Exercises 1.) The length of a line measured with a 30m long tape was 368.64m. The tape was standardized at a temperature of 20°C. If the temperature during measurement was 42°C, find the correct length of the line. The coefficient of thermal expansion of the tape material is 12x10 -6 /°C. (368.737m) 2.) A 30m long tape is held between supports under a tension of 120N. If the tape weights 10N, find the horizontal distance between the supports. (29.991m) 3.) A 30m long tape was standardized at 20°C and under a pull of 100N. The tape was used to measure a distance AB when the temperature was 45°C and the pull was 150N. The tape was supported at the ends only. Find the corrections per tape length if the cross section of the tape was 4mm 2 , the unit weight of the tape material is 0.0000786 N/mm
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Unformatted text preview: 3 and the coefficient of thermal expansion of the tape material is 11.5x10-6 /°C. E = 200,000,000kN/m 2 . (0.0054m) 4.) Five bays of a line AB were measured under a tension of 53N, and the following data were recorded. Length of span (m) Rise between ends of span (m) 29.149 0.027 29.944 0.196 29.474 0.126 29.514 0.055 29.690 0.336 Field temperature = 10°C The tape was standardized on the flat under a pull of 89N and at temperature 20°C. Tape details: Coefficient of thermal expansion = 0.000 011/°C Young’s modulus, E = 207 kN/mm 2 Density = 7700kg/m 3 Cross-sectional area = 6mm 2 How long is line AB? (147.355m) 5.) A 30m tape is used to measure a line along a gradient of 1:12. The tape was also kept 0.6m out of alignment. Find the horizontal distance for one tape length along the gradient....
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