Week 4 - Floats , Two span bridge 1. The critical path activities has ___ float a. Negative b. Zero c. Non zero d. Positive 2. The critical path is the _____ path in the project and delaying the critical path will delay the ______. a. Shortest, Activity duration b. Longest, Project c. Earliest, Early start of the activity d. Latest, Slack of an activity Question #3 to 6: The details of the project are given below in the table. 1. Table 1 Activity A B C D E F G Duration 5 9 3 6 4 4 4 Predecessors A A A B, C C, D E, F Activity Duration Predecessor ES EF LS LF TF FF INTF INDF A 5 0 5 0 5 0 0 0 0 B 9 A 5 14 5 14 0 0 0 0 C 3 A 5 8 11 14 6 3 3 3 D 6 A 5 11 8 14 3 0 3 0 E 4 B, C 14 18 14 18 0 0 0 0 F 4 C, D 11 15 14 18 3 3 0 0 G 4 E, F 18 22 18 22 0 0 0 0 3. What is (ES, EF) of activities B,D,F,G?. a) (5,14); (5, 11); (11,15); (18,22) b) (5,14); (5, 8); (11,15); (18,22) c) (5,14); (5,11); (14,18); (18,22) d) (0,5); (5,11); (11,15); (18,22) 4. What is (LS, LF) of activities C,E,F,G?. a. b. c. d. (11, 14); (14,18); (11,15); (18,22) (2,14); (14,18); (11,15); (18,22) (11,14); (14,18); (14,18); (18,22) (11,14); (5,11); (11,15); (18,22) 5. What is (Total Float, Free Float) of activities C,D,E,F?. a. (6,3); (3,0); (11,15); (3,3) b. (6,3); (3,0); (0,0); (3,3) c. (6,3); (3,3); (0,0); (3,3) d. (3,0); (3,0); (0,0); (3,3) 6. What is (Interfering Float, Independent Float) of activities B,C,D,F?. a. (0,0); (3,3); (3,0); (3,0) b. (0,0); (0,3); (3,0); (0,0) c. (0,0); (3,3); (0,3); (0,0) d. (0,0); (3,3); (3,0); (0,0) Question #7-10: The table.2 below shows the activities and duration for a prefabricated suspension type pipeline crossing structure carrying steel pipes (Fig. 1). Fig 1 (Source: ASCE manual reports on Engineering Practice no.89) Table 2 Activity 1 Start Predecessor Duration --- 0 2 Excavate 1 1 3 Anchor 1 2 2 4 Footing 1 2 3 5 Tower 1 4 2 6 Footing 2 4 3 7 Tower 2 5, 6 2 8 Anchor 2 3 2 9 Braces and guys 7, 8 2 10 String cables 7, 8 4 11 Hangers and pipe racks 10 4 12 Lay pipes 9, 11 3 13 Paint 12 2 14 Finish 13 0 Activity Predecessor Duration ES EF LS LF T.F F.F INT.F IND.F Start --- 0 Excavate Start 1 Anchor 1 Excavate 2 Footing 1 Excavate 3 Tower 1 Footing `1 2 Footing 2 Footing 1 Tower 2 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 3 5 7 1 4 1 4 4 0 4 0 0 0 0 0 1 1 0 1 3 4 6 5 7 4 7 4 7 0 0 0 0 Tower 1, Footing 2 2 7 9 7 9 0 0 0 0 Anchor 2 Anchor 1 2 4 4 0 0 Braces and guys Tower 2, Anchor 2 2 3 5 7 9 15 17 9 11 6 6 0 6 0 0 0 0 0 0 0 0 String cables Tower 2, Anchor 2 4 9 13 9 13 Hangers and pipe racks String cables 4 13 17 13 17 Place pipes Braces and guys, hangers and pipe racks 3 Paint Place pipes 2 Finish Paint 0 17 20 17 20 0 0 0 0 20 22 20 22 22 22 22 22 0 0 0 0 0 0 0 0 7. By how much can the bracing subcontractor delay his activity from early start without delaying the 22 day duration (without delaying the project)?. a. 5 days b. 4 days c. 6 days d. 3 days 8. The bracing subcontractor decides to start his activity at the latest date, Should the pipe laying subcontractor worry about his activity getting delayed because of bracing activity starting late? Why?. a. Should be worried, because it will affect the start of the project b. Need not be worried, because bracing activity has free float (of 6days) (which will not affect the early start of succeeding activity i.e. pipe laying activity) c. Should be worried, because it will ultimately delay the project. d. Need not be worried, because the bracing activity has a total float of zero. 9. If Anchor 2 activity start at the latest date possible, it will cause delays to the early start of ______ activity without delaying the _____? a. Tower 1, project b. Braces and guys, project c. Anchor 2, Critical path d. String cables, project 10. The activity “Tower 1” has an independent float of ___ days a. 1 day b. 2 days c. 3 days d. 4 days Question #11-15: Two span bridge with resource constraints (Table. 3). Table 3 Activity no 1 2 Activity Order and deliver piles Cast beams Duration 15 20 Predecessors Start Start 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Activity no 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Drive piles east Construct east pile cap Construct east abutment Drive piles center Construct center pile cap Construct center pier Drive piles west Construct west pile cap Construct west abutment Place beams on east span Place beams on west span Deck slab east Deck slab west Lay roads 12 8 36 6 7 27 12 8 36 7 7 15 15 25 1 3 4 3 4, 6 5, 7 6 7, 9 8, 10 2, 8 11, 12 12 13, 14 15 Activity Duration Predecessors ES EF LS LF TF FF INTF INDF Order and deliver piles 15 Start 0 15 0 15 0 0 0 0 Cast beams 20 Start 0 20 99 119 99 78 21 78 Drive piles east 12 1 15 27 15 27 0 0 0 0 Construct east pile cap 8 3 27 35 27 35 0 0 0 0 Construct east abutment 36 4 35 71 35 71 0 0 0 0 Drive piles centre 6 3 27 33 58 64 31 0 31 0 Construct center pile cap 7 4,6 35 42 64 71 29 3 26 0 Construct center pier 27 5,7 71 98 71 98 0 0 0 0 Drive piles west 12 6 33 45 78 90 45 0 45 0 Construct west pile cap 8 7,9 45 53 90 98 45 45 0 0 Construct west abutment 36 8,10 98 134 98 134 0 0 0 0 Place beams on east span 7 2,8 98 105 119 126 21 0 21 0 Place beams on west span 7 11,12 134 141 134 141 0 0 0 0 Deck slab east 15 12 105 120 126 141 21 21 0 0 Deck slab west 15 13,14 141 156 141 156 0 0 0 0 Lay roads 25 15 156 181 156 181 0 0 0 0 11. Find the critical path for the project?. I. Start,1,3,4,5,8,11,13,15,16,Finish II. Start,2,3,4,5,12,14,15,16,Finish III. Start,1,3,6,7,8,11,13,15,16,Finish IV. Start,2,3,6,9,10,11,13,15,16,Finish 12. What is (ES, EF) of activities 2,3,15,16?. a. (0,20); (20,42); (146,161); (161,181) b. (0,20); (20,32); (141,155); (155,180) c. (0,20); (15,27); (141,156); (156,181) d. (0,20); (20,32); (141,161); (161,181) 13. What is (LS, LF) of activities 6,7,8,9?. a. (62,68); (68,75); (75,102); (83,95) b. (58,64); (64,71); (71,98); (78,90) c. (63,69); (69,76); (76,103); (84,96) d. (63,69); (69,76); (76,102); (83,95) 14. What is (Total Float, Free Float) of activities 1,6,9,14?. a. (5,0); (31,0); (45,0); (48,48) b. (5,5); (31,31); (45,0); (48,48) c. (5,5); (31,0); (45,0); (48,0) d. (0,0); (31,0); (45,0); (21,21) 15. What is (Interfering Float, Independent Float) of activities 5,7,11,12?. a. (0,0); (26,0); (0,0); (21,0) b. (0,5); (26,0); (0,0); (48,0) c. (0,0); (0,26); (0,0); (48,0) d. (0,0); (26,0); (0,0); (48,48)
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