ASSIGNMENT Question A steel tape of nominal length \( 30 m \) was use d to measure a line AB by susp en ding it between supp orts. The following measurements were recorded Line Length measured slope angle meantemperature tension applied \( \begin{array}{llll}A B & 29.872 & 3.67^{\circ} & 5^{\circ}\end{array} \) The standardized length of the tape ag ainst a reference tape was known to be \( 30.14 m \) at \( 20^{\circ} \) and \( 50 N . \) If the tape weighs \( 0.17 Nm ^{-1} \) and has a cross sectional are a of \( 2 mm ^{2} \), calculate the horizont al length of \( A B \). Young's mo dulus (E) for the tape is \( 200 KNmm ^{-2} \) and the coefficient of thermal expansion \( (\alpha) \) is \( 0.0000112 \) per \( { }^{\circ} C \)
