8.) The distance between two points A and B is recorded as 27.554 m but without applying any corrections to the measurement. Later, this was checked and found to be 27.567 m but at a recorded tension of 50 N and temperature of 20 °C. The difference in level between A and B was known to be 0.15 m. If the 30 m tape used had been standardized as having a length of 30.007 m at a tension of 50 N and temperature of 10 °C and dimensions of 13 x 0.2 mm, determine by how much the original measurement was in error.
8.) The distance between two points A and B is recorded as 27.554 m but without applying any corrections to the measurement. Later, this was checked and found to be 27.567 m but at a recorded tension of 50 N and temperature of 20 °C. The difference in level between A and B was known to be 0.15 m. If the 30 m tape used had been standardized as having a length of 30.007 m at a tension of 50 N and temperature of 10 °C and dimensions of 13 x 0.2 mm, determine by how much the original measurement was in error.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Note: Where appropriate, assume that Young's modulus (E) for steel is 200 KN mm-2
and the coefficient of thermal expansion of steel (a) is 0.0000112 per °C.
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