A 50-m steel tape is of standard length under a pull of 5.5 kg when supported throughout it entire length. The tape weighs 0.05 kg/m, has a cross-sectional area of 0.04 sq. cm, and being made of steel, it modulus of elasticity is 2.10 x 10^6 kg/cm2. This tape was used in the field to measure a distance that was determined to be 458.650m. At the time the measurement was made, the constant pull applied was 8 kg with the tape supported only at its end points. a.) Determine the correct length of the line. b.) If the tape used was standardized at 20 °C and during the measurement the mean temperature observed was 18 °C, determine the correct length of the line for the combined effects of tensions, sag, and temperature. Assume the coefficient of linear expansion of the tape to be equal to 0.0000116 / °C.
A 50-m steel tape is of standard length under a pull of 5.5 kg when supported throughout it entire length. The tape weighs 0.05 kg/m, has a cross-sectional area of 0.04 sq. cm, and being made of steel, it modulus of elasticity is 2.10 x 10^6 kg/cm2. This tape was used in the field to measure a distance that was determined to be 458.650m. At the time the measurement was made, the constant pull applied was 8 kg with the tape supported only at its end points. a.) Determine the correct length of the line. b.) If the tape used was standardized at 20 °C and during the measurement the mean temperature observed was 18 °C, determine the correct length of the line for the combined effects of tensions, sag, and temperature. Assume the coefficient of linear expansion of the tape to be equal to 0.0000116 / °C.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A 50-m steel tape is of standard length under a pull of 5.5 kg when supported throughout it entire length. The tape weighs 0.05 kg/m, has a cross-sectional area of 0.04 sq. cm, and being made of steel, it modulus of elasticity is 2.10 x 10^6 kg/cm2. This tape was used in the field to measure a distance that was determined to be 458.650m. At the time the measurement was made, the constant pull applied was 8 kg with the tape supported only at its end points.
a.) Determine the correct length of the line.
b.) If the tape used was standardized at 20 °C and during the measurement the mean temperature observed was 18 °C, determine the correct length of the line for the combined effects of tensions, sag, and temperature. Assume the coefficient of linear expansion of the tape to be equal to 0.0000116 / °C.
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