CEB413-T1-S2-2008 - GUT Surname Given Name/s III-I...

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Unformatted text preview: GUT Surname Given Name/s III-I..- Examination Paper SEMESTER: SECOND SEMESTER EXAMINATIONS 2008 UNIT: CEB413 STRUCTURAL ENGINEERING 3 - THEORY 1 DURATION OF EXAMINATION: PERUSAL: 10 MINUTES WORKING: 3 HOURS EXAMINATION MATERIAL SUPPLIED BY THE UNIVERSITY: EXAMINATION BOOKLETS EXAMINATION MATERIAL SUPPLIED BY THE STUDENT: WRITING IMPLEMENTS CALCULATORS - ANY TYPE AUSTRALIAN STANDARD AS11704 (1993), AS11704 (2007) AND HB2.2 (THIS MATERIAL MAY BE ANNOTATED AND HIGHLIGHTED) INSTRUCTIONS TO STUDENTS: Students are prohibited from having mobile phones or any other device capable of communicating information (either verbal or written) in their possession during the examination NOTES MAY BE MADE QNLI ON THE EXAMINATION PAPER DURING PERUSAL TIME ALL SIX (6) QUESTIONS ARE TO BE ATTEMPTED MARKS FOR EACH QUESTION ARE AS INDICATED Queensland University of Technology GUT GUT GUT Gardens Point Kelvin Grove Carseldine QUESTION 1 The frame shown in Figure 1 has to support the service loads shown, with a plastic moment capacity of Mp = 200kNm. It has 2 independent collapse mechanisms, viz; the beam and the sway. Investigate these two and the combined mechanism and determine the critical collapse mechanism and the collapse load factor K. Draw the bending moment diagram associated with the critical mechanism (just prior to collapse). (14 marks) w z 40 kN/m [J Figure 1 CEB4I3T1.082 . - cont/ ...... QUESTION 2 (21) Describe, using sketches, how the period (or frequency) of vibration is used in the analysis and design of a bridge. (2 marks) (b) The frame shown in Figure 2 has rigid floors and can be considered as a “shear frame”. The masses are lumped onto the floor slabs as shown in the Figure. Determine (i) the structure stiffness matrix (ii) the structure mass matrix and (iii) the natural periods of vibration and the associated mode shapes for this structure. The mode shapes should be plotted with respect to a vertical axis. Assume EI/mL3 = 3. (13 marks) 0.75 m 0.75 m Figure 2 CEB413T1.082 contd/..... QUESTION 3 (a) Explain how the period of free vibration TI is used in the the Quasi static seismic analysis in ASl 170.4 (1993). (3marks) (b) Explain briefly, using appropriate sketches, how asymmetry affects the seismic response of a I Building. (4 marks) (0) A twelve storey building, with a storey height of 3.5m (and total height 42m), used as an office block in Brisbane, has a rectangular plan with dimensions 40m x 64m. Live load on all the floors, including the roof, is to be taken as 10 kN/mz, with a live load reduction factor q; z 0.4. Dead load on all the floors, except the roof level, is 12 kN/mz, while dead load on the roof slab is iokN/ml. Using AS] 170.4 (1993 version), determine the total base shear force V for a quasi—static analysis. Determine also the distribution of shear forces across the height of the building and plot their variation with height. The earthquake acts in the direction normal to the longer dimension. With the usual notations you may assume, Rf: 4, I : 1.25, S = 1.5 and a : 0.06 (Brisbane). _ (14 marks) CEB413T1.082 ' contd/..... QUESTION 4 The cable of a suspension bridge, shown in figure below, runs over a pulley on the top of each of the towers at B and D and. is fixed to the anchor systems at A and E. The cable carries a uniform distributed load (including its own weight) of 80kN/rn. Figure 4 You are required to calculate the followings: (a) maximum tension exerted on the cable T mm; (b) the diameter of the cable if the permissible stress on the gross area of the cable, including voids, is 600 N/mmz; ' (C) the angle of the inclination to the horizontal at the top of the tower; (d) the bending moment and direct load at the base of a tower; (e) the required weight of the anchor blocks; and (f) the length of the cable between the two tower tops. (15 marks) CEB413T1.082 contd/ ..... QUESTION 5 Analyse the frame structure Shown below by the General Stiffness Method and draw the bending moment diagram (BMD) for the entire frame. 10 kN/m 3E1 ' I 2.0 m 8 kN EI 3.0 m L / I 6.0 m I (15 marks) Figure 5 CEB413T1.082 contd/..... QUESTION 6 For the structure shown below with the loads given in addition to a settlement at point 3 of 0.012 m downward, determine (a) the self-straining fixed end forces (b) the corresponding equivalent forces (0) the displacements caused by the self-straining forces (d) the member forces. Take E1: 700 000 kNmZ. (20 marks) 1150 kN 24 kN/m 10.0 m 10.0 m l END OF PAPER CEB413T1.082 ...
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