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Unformatted text preview: 655.412 SC ATTACHMENT FOLLOWS THE UNIVERSITY OF AUCKLAND EXAMINATION FOR BE ETC 2000 CIVIL AND RESOURCE ENGINEERING Applied Structural Mechanics (Time allowed: TWO hours) NOTE: Answer Question 1 and any TWO others. Question 1 is worth 15 marks, other questions are each worth 25 marks. Some FORMULAS are provided on the last page 1. For each of the parts (a) to (e) of this question, write down the letter of the part followed by whichever of the numbers (i) to (iv) you think best describes the correct answer. Correct Answer = 3 marks Wrong or no answer = 0 marks (a) The calculation of dynamic response using Duhamels integral will give correct results only if: (i) The load-deflection response of the structure is linear. (ii) The applied loading is harmonic. (iii) Structural damping is negligible. (iv) Loading is applied as a series of impulses. (b) A spectral modal analysis will not generally yield exact results because: (i) Damping will always be present. (ii) There is no way of determining how the individual modal maxima should be combined. (iii) A response spectrum is only approximate. (iv) Some of the modes might be omitted. - 2 - 655.412 SC CONTINUED (c) The magnitude of an earthquake: (i) Determines whether S-waves or P-waves are produced. (ii) Is usually measured on the Modified Mercalli scale. (iii) Determines the scale of the response spectrum. ( iv) Is closely related to the amount of energy released at the source. (d) A two storey building has a modal matrix - = 1 1 1 2 / 1 . If, at a particular instant the floor displacements are...
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- Fall '99