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CONFIDENTIAL AP/OCT2006/QSD133 UNIVERSITI TEKNOLOGI MARA FINAL EXAMINATION COURSE PRINCIPLES OF STRUCTURES COURSE CODE QSD133 EXAMINATION OCTOBER 2006 TIME 2 HOURS INSTRUCTIONS TO CANDIDATES 1. This question paper consists of six (6) questions. 2. Answer FOUR (4) questions only in the Answer Booklet. Start each answer on a new page. 3. Do not bring any material into the examination room unless permission is given by the invigilator. 4. Please check to make sure that this examination pack consists of: i) the Question Paper ii) a one-page Appendix 1 Hi) an Answer Booklet - provided by the Faculty iv) two sheets of graph paper - provided by the Faculty DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO This examination paper consists of 6 printed pages © Hak Cipta Universiti Teknologi MARA CONFIDENTIAL CONFIDENTIAL AP/OCT 2006/QSD133 QUESTION 1 a) Explain the following terms: i) structure ii) dead load iii) imposed load iv) force (10 marks) b) Figure Q1b shows a simply supported reinforced concrete beam size 400 mm x 800 mm. The beam is required to carry a 400mm thick solid clay brickwall throughout its span, calculate: i) the ultimate design load of the beam ii) the reactions at support A and B. Given: The unit weight of reinforced concrete = 25kN/m3 The unit weight of brickwall = 23kN/m3 A 400mm thick brickwall 2.5m A 400mm x 800mm reinforced concrete beam v0.8m B t< n 6m 8m Figure Q1b -I (15 marks) © Hak Cipta Universiti Teknologi MARA CONFIDENTIAL CONFIDENTIAL AP/OCT 2006/QSD133 QUESTION 2 Based on Figure Q2a, Q2b, Q2c and Q2d, determine the reactions at each support. 50 kN 30 kN Figure Q2a (6 marks) 2.0m 10kN 30kN w A 2.0m w 15kN 2.0m v 20kN A 1.5m V Figure Q2b (6 marks) © Hak Cipta Universiti Teknologi MAR A CONFIDENTIAL CONFIDENTIAL AP/OCT2006/QSD133 15kN ^ 1 1r 20kN/rr1 35kN/m 1 fes 2m 2.5m 3m <———> ^ ^ ^ ^ Figure Q2c (7 marks) SOkN 10kN 5kN/m 2m 5m 5m 2m Figure Q2d (6 marks) QUESTION 3 a) Figure 3a shows the cross-section of a singly-reinforced concrete beam. Estimate the maximum bending moment that the beam can carry. 10mm 0 top steel 500mm 10mm 0 link 32mm 0 tension steel Figure 3a © Hak Cipta Universiti Teknologi MARA CONFIDENTIAL CONFIDENTIAL AP/OCT2006/QSD133 Given: K' = 0.156 K = M/fcubd2 K < K' (singly reinforced) z = d [0.5 + V(0.25 - K/0.9)] z < 0.95 d As = M/0.87fyz Concrete - grade 30 Reinforcement - mild steel Cover - 25 mm thick (15 marks) b) A timber beam spanning 4.5m is required to support a uniformly distributed load of 5 kN/m including its selfweight throughout the span. If the allowable bending stress of the timber is 7 N/mm2, recommend the suitable size of the beam. (10 marks) QUESTION 4 a) Give the definitions of moment. (5 marks) b) Based on figure Q4b. Calculate the reactions at support A and B and draw the shear force and bending moment diagrams. 10kN 30kN I 20kN/m 10kN/m 2m 4m 3m 1m Figure Q4b (20 marks) © Hak Cipta Universiti Teknologi MARA CONFIDENTIAL CONFIDENTIAL 6 AP/OCT 2006/QSD133 QUESTION 5 A 300 mm wide singly reinforced concrete beam is required to transmit an ultimate bending moment of 350kNm, inclusive of its own weight. The beam is composed of grade 35 concrete with high yield reinforcement. Using the simplified stress block formulae given in BS 8110 Parti i) Determine the depth of beam required ii) Determine the amount of steel needed iii) Sketch the cross-section of the beam and show the dimension details of the bars. (25marks) QUESTION 6 A short braced column is required to support an ultimate axial load of SOOOkN using grade 35 concrete and mild steel reinforcement. Assume the percentage of main steel provided is 2%. a) Calculate the size of the column if the cross-section is square and choose the appropriate diameter of main reinforcement required. (15 marks) b) Sketch the cross-section of the columns in (a) and show the details of the reinforcement bars chosen. (5 marks) c) Determine the maximum effective height of the column. (5 marks) Given: Equation 38 (a) N = 0.4 feu (Ag - Asc) + 0.75 Asc fy END OF QUESTION PAPER © Hak Cipta Universiti Teknologi MARA CONFIDENTIAL CONFIDENTIAL APPENDIX 1 AP/OCT2006/QSD133 LIST OF FORMULAE Reinforced concrete beam K' * 0.156 K = M/!«bd* For singly reinforced beam, K < K* z < 0.95 d A* Short braced axlally loaded column BS 8110 equation 38(n); N « 0.4f«, (Ag + 0,75 AM& Timber beam z = bd*/6 Areas of round bar reinforcement <mm*J Number of bars Diameter t (mm) 1 2 3 4 § $ ? 0 ————— ,L_ . 6 28 S7 85 113 142 170 108 22$ 255 8 50 101 151 201 282 302 362 402 453 I 10 70 157 236 314 393 471 §80 026 707 12 113 226 339 452 S85 878 791 904 1017 16 201 402 603 804 100S 1200 1407 1§00 1809 20 314 828 942 125S 1570 1884 2190 2&12 202© 25 491 983 1474 196$ 2467 2948 S439 3932 4423 32 804 1608 2412 321$ 4020 4S24 5828 6432 723S 40 1257 2513 3770 5027 6283 5740 8796 10053 11310 © Hak Cipta Universiti Teknologi MARA CONFIDENTIAL

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