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The University of Mindanao College of Engineering CE500 – Correlation Course FINAL EXAMINATION

DESIGN AND CONSTRUCTION Instruction: 1. Choose the letter of your best choice and shade the corresponding letter on your answer sheet. 2. No one is allowed to leave the room during the examination period. 3. Borrowing calculators and talking to your seatmates are not allowed during the exam. 4. If you have any clarification regarding the exam questionnaire, ask the proctor and not your seatmate. 5. Use your examination booklet or the back of the questionnaire as your scratch paper for your solutions. PROBLEM I:

 A rectangular rectangular beam has a width of 250mm and an effective effective depth of 400mm. the beam is reinforced at the top and bottom section with a steel covering of 75mm for the compression bars and has a simple span of 6m. It carries a uniform LL = 40 kN/m and a DL = 15 kN/m and EL = 10 kN/m. If fc’ = 21 Mpa, fy = 276 Mpa. 1. Which of the following gives the ultimate uniform load? 1. 82.2 kN/m b. 89 kN/m c. 80.775 kN/m d. 72 kN/m 2. Which of the following gives the nominal moment capacity of the beam at balanced condition? 1. 294.7 kNm b. 124.6 kNm c. 99.89 kNm d. 72 kNm 3. Which of the following gives the total steel are in tension? 1. 4689 mm 2 b. 5068 mm 2 c. 2050 mm 2 d. 3740 mm 2 PROBLEM II:

 A block is placed on an inclined plane making an angle of 25 0 with the horizontal at a vertical distance of 6m from the horizontal plane. The coefficient of the friction between the block and the inclined plane is 0.25. If the block is released form the rest. 4. Which of the following gives the acceleration of the block? 1. 2.781 m/s 2 b. 4.781 m/s 2 c. 2.022 m/s 2 d. 3.381 m/s 2 5. Which of the following gives the velocity of the block if it has traveled 3m? 1. 4.085 m/s b. 3.085 m/s c. 3.483 m/s d. 2.485 m/s 6. Which if the following gives the time at which the block landed on the horizontal plane? 1. 1.96 s b. 2.938 s c. 4.57 s d. NITL PROBLEM III:

 A simply supported supported steel beam carries a uniform concrete concrete slab 150 mm thick. It carries a ceiling load of 600 Pa and live load pressure equal to 2000 Pa. the length of the beam is 6m and is spaced at 2m o.c. Unit wt. of concrete is 24 kN/m 3. Allowable bending stress for steel beam is 0.66Fy. E = 200 Gpa and Fy = 249 Mpa. Section Moment of Inertia Depth 4 W 12 x 26 84.9 mm   310mm 4 W 12 x 19 54.1 mm   309mm 4 W 12 x 14 36.9 mm 302mm 7. 8.

Which of the ff. gives the uniform load pressure carried by the beam? 1. 7.3 kPa b. 7.4 kPa c. 6.2 kPa Which of the ff. gives the load carried by the beam in kN/m? 1. 12.4 b. 14.6 c. 32.78

d. 2.6 kPa d. 52.36

9. 10.

11.

Which is the most ecinimical section? 1. W 12 x 16 b. W 12 x 19 c. W 12 x 14 d. NITL A truck with axle loads of 40 kN and 60 kN on a wheel base of 5m rolls across a 10m span. The maximum moment in the beam is: 1. 100 kNm b. 150 kNm c. 160 kNm d. 180 kNm Two wooden planks are placed one on top of the other. If their dimensions are 50 x 200 & 75 x 200mm, and the superimposed planks are subjected to a combined moment of 1.5 kNm, find the maximum induced bending stress at the top plank. 1. 2.116 Mpa b. 3.116 Mpa c. 4.116 Mpa d. 5.116 Mpa

PROBLEM IV:

For the beam loaded as shown: 20 kN/m

30 kNm

1m

12. 13. 14.

1m

3m

1m

Which of the ff. most nearly gives the vertical reaction at the roller support in kN? 1. 13 b. 16 c. 27 d. 58 Which of the ff. most nearly gives the maximum shear on the beam in kN? 1. 10 b. 15 c. 38 d. 17 Which of the ff. most nearly gives the maximum bending moment on the beam in kNm? 1. 13 b. 12 c. 8 d. 26.10

PROBLEM V:

The construction of a grouted riprap is done as follows. A 0.45m 3 of riprap can be constructed in one hour by a group of workers consisting of one Foreman, one skilled laborer and 5 unskilled laborer at P50/hr, P40/hr and P35/hr rate, respectively. VAT is 10% of the labor cost. 1 m 3 of boulders cost P250. The materials needed for a cubic meter riprap are 3 bags of cement at P 130/bag, 0.25 cu.m. of sand at P350/m 3. The cost of administration, representation, insurance, etc is 30% of labor and materials cost. 15. Which of the ff. gives the cost of labor for 1 cu.m. of riprap? 1. 897.30 b. 567.53 c. 647.78 d. 291.50 16. Which of the ff. gives the cost of material per cu.m. of riprap? 1. 291.50 b. 647.78 c. 727.50 d. 897.30 3 17. Which of the ff. gives the total unit cost of 1m  of riprap? 1. 837.86 b. 1737.86 c. 1345.68 d. 1837.50 18. An 8m span simple beam carries a uniform load of 2 kN/m and a concentrated load of 4 kn 2m from the left support. Calculate the deflection at the midspan. E = 100 x 10 3 Mpa and I = 80 x 106 mm4. 1. 10 mm b. 14 mm c. 17 mm d. 21 mm PROBLEM VI:

 A projectile is fired upward to the right at an initial slope of 4 vertical to 3 horizontal and hits the ground at a point 2m lower than the origin. 19. Which of the ff. gives the initial velocity? 1. 8.45 m/s b. 16.58 m/s c. 12.787 m/s d. NITL 20. What is the max. ht. attained by the projectile? 1. 8.44m b. 5.33m c. 9.66m d. 13.45m 21. What is its range? 1. 17.4m b. 13.45m c. 12.42m d. 26.89m PROBLEM VII:

 A 3m wide wall footing supports a 400mm wall. It is reinforced with 20 mm diameter bars with concrete cover of 75mm. Fc’ = 21 Mpa, Fy = 415 Mpa.

22. 23. 24.

Which of the ff. gives the available space for development? 1. 1275mm b. 1225mm c. 750mm d. 1475mm What is the required development length as stated by the code? 1. 889mm b. 679mm c. 569mm d. 1475mm Find the resultant of four parallel forces acting on a horizontal bar AB with length of 11m; 400kN downward at the left most end, 900 kN upward 3m from the left end, 800 kN downward at 9m from the left end and 300 kN upward at 11m from the left end. 1. 1200 kN force upward b. 1200 kNm CW c. 1200 kNm CCW d. 1200 kN force downward

PROBLEM VIII:

 A 100mm x 300mm rectangular beam carries a uniformly distributed load of “w” kN /m over its entire span. The beam is simply supported at its end. If the maximum allowable bending stress is 8.27 Mpa and the maximum allowable shearing stress is 0.70 Mpa. 25. Which of the ff. gives the value of the maximum vertical shear? 1. 10 kN b. 12 kN c. 14 kN d. 20 kN 26. Which of the ff. gives the value of the span of the beam? 1. 3.54 m b. 4.35 m c. 99.24 mm d. 6.27 m 27. Which of the ff. gives the value of “w”? 1. 28 kN/m b. 7.91 kN/m c. 6.50 kN/m d. 3.50 kN/m 28. For the frame shown below, determine the moment at A in kiloNewton Meter. 1. 27.36 b. 25.32 c. 32.78 d. NITL 40 kN C

F 6m

200 kN B

E 8m

H 12m

8m A

G

D

PROBLEM IX:

 A continuous beam has two span, the left span being 4m long and the right span 6m long. The beam is restrained at the leftmost support, hinged at the interior support, and roller at the rightmost support. The beam carries a concentrated load of 40 kN at the middle of the 4-m span and uniform load of 5 kN/m throughout the 6-m span. 29. Determine the moment at the restraind end. 1. -18.33 kNm b. -21.67 kNm c. -17.67 kNm d. -19.17 kNm 30. Determine the moment at the interior support in kNm. 1. -18.33 kNm b. -21.67 kNm c. -17.67 kNm d. -19.17 kNm 31. Determine the vertical reaction at the interior support. 1. 42.5 kN b. 35.2 kN c. 39.23 kN d. 28.6 kN PROBLEM X:

 A shear diagram shown in the figure. (Shear unit is kiloNewton) 10

4m

10 4m

1m 1m

-5

-30

32.

W/c of the ff. most nearly gives the maximum positive bending moment? 1. 10 kNm b. 30 kNm c. 20kNm

d. 40 kNm

33. 34. 35. 36.

W/c 1. W/c 1. W/c 1. W/c 1.

of the ff. most nearly gives the maximum negative bending moment? 15 kNm b. 40 kNm c. 20 kNm d. of the ff. most nearly gives the location of the inflection point from the right 1.4m b. 0.6m c. 0.5 m d. of the ff. most nearly gives the maximum concentrated load? 25 kN b. 25 kN c. 40 kN d. of the ff. most nearly gives the reation at the left support? 25 kN b. 10 kN c. 70 kN d.

10 kNm support? 0.4m 45 kN 45 kN

PROBLEM XI:

 A 10m simply supported beam carries a uniformly distributed live load of 3000 N/m and dead load of 1000 N/m and a concentrated load of 8000 N. 37. Which of the ff. gives the maximum shear at a point 2.5 m from the left support due to concentrated load only? 1. 5000 N b. 4000 N c. 6000 N d. 3000 N 38. Which of the ff. gives the maximum shear at a point 2.5 m from the left support de to uniform live load only? 1. 5483.7 N b. 4387.5 N c. 7348.5 N d. 8437.5 N 39. Which of the ff. gives the maximum shear at a point 2.5 m from the left support? 1. 12,348.5 N b. 13,911 N c. 14,437.5 N d. 16,000 N PROBLEM XII:

 A 250mm by 50mm wooden plank is placed on top of another 500mm by 100mm wooden plank having the same material. The superimposed beam is subjected to a total moment of 40kN.m. Span of both planks is 6m. E = 8000 MPa for both planks 40. Which of the ff. gives the moment carried by the lower plank? 1. 36.47 kN.m b. 37.64 kN.m c. 35.46 kN.m d. 34.67 kN.m 41. Which of the ff. gives the flexural stress of the upper plank? 1. 22.56 MPa b. 43.58 MPa c. 51.17 MPa d. 33.89 MPa 42. Which of the ff. gives the radius of curvature for the superimposed beam? 1. 5.58m b. 6.28m c. 8.85m d. 7.62m PROBLEM XIII:

 A short tied column carries an axial dead load of 1070 kN and live load of 981 kN. Fc’ =27.5 MPa, Fy= 413.5 MPa, steel ratio = 3%. 43. Which of the ff. gives the probable size of the tied column? 1. 350mm x 350mm b. 400nn x 400mm c. 450mm x 450mm d. 500mm x 500mm 44. Which of the ff. gives the number pf 28 mm Ø main reinforcing bar? 1. 6 bars b. 8 bars c. 10 bars d. 12 bars 45. Which of the ff. gives the spacing of 10 mm Ø lateral tie? 1. 480 mm b. 450 mm c. 400 mm d. 448 mm PROBLEM XIV:

The winch in the figure is used to move the 135kg uniform load. The coefficient of static friction between the log and the plane is 0.40. T

A

46.

2.4 m

Compute the tension T for impending sliding. 1. 435.42 N b. 537.45 N

600

B

c. 735.63 N

d. 626.0 N

47. 48. 49. 50.

Compute the tension T for impending tipping. 1. 765 N b. 626 N c. 535 N d. 865 N Compute the maximum tension that can be applied for which the log remains at rest. 1. 765 N b. 626 N c. 535 N d. 865 N Compute the normal reaction between log and plane. 1. 872.22 N b. 636.52 N c. 782.22 N d. 755.82 N Compute the location of the normal reaction from A. a. 0.554 b.0.788 c.0.368  d.0.443

DESIGN & CONSTRUCTION PROBLEM 1:

 A floor system consists of a 75 mm concrete slab supported by continuous T-beams of 7.3 m. span, 1.20 m. on centers. Web dimensions are determined by negative moment requirements at the support are b w = 275 mm. and d = 500 mm. fc’ = 20.73 MPa and Fy = 414.6 MPa. 51. Compute the effective width of flange. 1. 1100 mm b. 1200 mm c. 1450 mm d. 1825 mm 52. Compute the tensile steel area required at midspan to resist a ultimate moment of 725 kN.m. 1. 5242.1 mm 2 b. 3561.2 mm 2 c. 4252.6 mm 2 d. 4816.5 mm 2 53. Compute the maximum permitted steel ratio. 1. 0.0202 b. 0.0321 c. 0.0375 d. 0.0235 PROBLEM 2:

For the purpose of implementing rules and regulations of P.D. 1594 an unbalanced bid shall be defined as a bid containing one or more pay items that are 30% higher than the unit AGE (Approved Gov’t Estimate) in respect to major items whereas other pay item s are priced lower than the unit AGE, major items being defined as pay items representing at least 20% of the AAE (Approve Agency Estimate) or the first two items having the highest percentage of the AAE or those indicated or specified in the instruction t o bidders. If the AAE of the Gov’t. project is 15M. 54. Which of the following gives the cost of an item to be automatically considered a major item? 1. 4.5M b. 3M c. 4M d. 3.5M 55. If the pay item has a bid quantity of 4000 units and a unit price of P1000, which of the following gives the total cost of the item? 1. 4M b. 3M c. 2M d. 1M 56. If there is a quantity overrun of 25% of the item mentioned in the preceding problem without any change in the unit cost, what is the change order cost? 1. 2.5M b. 3.75M c. 1.25M d. 5.0M PROBLEM 3:

 A timber beam having a simple span of 4m. carries a total load including its own weight of 10 kN/m. It has a width of 200 mm. and a depth of 260 mm., used dressed dimension by reducing its dimensions by 10 mm. 57. Which of the ff. gives the max. flexural stress of the beam? 1. 13.45 MPa b. 10.105 MPa c. 9.75 MPa d. 15.25 MPa 58. Which of the ff. gives the max. shearing stress of the beam. 1. 1.075 MPa b. 0.45 MPa c. 0.63 MPa d. 4.2 MPa 59. Which of the ff. gives the max. deflection of the beam. 1. 15.35 mm b. 18.43 mm c. 10.05 mm d. 20.07 mm PROBLEM 4:

From the figure shown, a force P = 100 kN is acting at 30 0 from the horizontal axis. y

y

’

P = 100 kN 300 300 x 300

x

’

60. 61. 62.

Which of ff. gives the y-component of P with respect to x and y axis? 1. 40kN b. 50 kN c. 60 kN d. 70 kN Which of the ff. gives the y- component of P with respect to x’ and y axis? 1. 50 kN b. 75 kN c. 100 kN d. 125 kN Which of the ff. gives the y’-component with respect to x’ and y’ axis? 1. 86.6 kN b. 67.6 kN c. 105.7 kN d. 120 kN

PROBLEM 5:

 A rectangular beam has a width of 250 mm and an effective depth of 400 mm. The beam is reinforced at the top and bottom section with a steel covering of 75 mm for the compression bars and has a simple span of 6 m. If carries a uniform live load of 36 kN/m and a dead load of 15 kN/m. If fc’ = 21 MPa, fy = 276 MPa. 63. Which of the ff. gives the ultimate uniform load? 1. 82.2 kN/m b. 75.78 kN/m c. 67.53 kN/m d. 95.67 kN/m 64. Which of the ff. gives the nominal moment capacity of the beam at balanced condition? 1. 186.67 kN/m b. 75.78 kN/m c. 233.33 kN/m d. 294.70 kN/m 65. Which of the ff. gives the total steel area in tension? 1. 4869 mm 2 b. 4689 mm 2 c. 4968 mm 2 d. 4986 mm 2 PROBLEM 6:

From the shear diagram shown in the figure. 10 1m

2m

-5

2m

-10

-15

66. 67. 68.

Which of the ff. nearly gives the maximum positive moment of the beam? 1. -5 kN.m b. -10 kN.m c. -12.5 kN.m d. -15.2 kN.m Which of the ff. nearly gives the maximum positive moment of the beam? 1. 5 kN.m b. 10 kN.m c. 12.5 kN.m d. 15.2 kN.m Which of the ff. nearly gives the location of the point of the inflection from the right end? 1. 2.25 m b. 2.75 m c. 3.0 m d. 3.15 m

PROBLEM 7:

The table shown tabulates the activities for making a network diagram for a project together with duration and cost in normal and accelerated conditions.  ACTIVITY 0-1(A) 0-2(B) 0-3(D) 1-2(C) 2-3(E) 3-4(F)

 ACTIVITY 0-1(A) 0-2(B) 0-3(D) 1-2(C) 2-3(E)

NORMAL CONDITIONS DURATION COSTS 5 P 1000 5 P 3000 3 P 12000 7 P 3000 4 P 1000 5 P 1000 TOTAL P 21000 ACCELERATED CONDITIONS DURATION COSTS 3 P 1600 4 P 4000 2 P 12000 5 P 3500 3 P 1500

3-4(F) 69. 70. 71.

3

P 1800 P 24400

TOTAL Which of the ff. route gives us the critical path? 1. A-B-C-F b. A-C-E-F c. B-C-E-F d. B-D-E-F Which of the ff. gives the cost if it is accelerated to be the minimum cost? 1. P 24000 b. P 23700 c. P 23400 d. P 23000 If the maximum available cost is P 22,400. Determine the no. of days deducted from the normal condition so that it will be economical. 1. 3 days b. 4 days c. 5 days d. 6 days

PROBLEM 8:

 A wooden purlin is used on a truss with a top chord inclined at 30 0  with the horizontal. The purlin is 50 mm x 100 mm and has a length of 3.5 m. spaced by 0.45 m. on center. It carries a live load of 750 Pa, weight of roofing is 120 Pa and ceiling load equal to 140 Pa. Using Apitong. 72. Which of the ff. gives the uniform load carried by the purlin in N/m? 1. 350.86 N/m b. 416.33 N/m c. 450.32 N/m d. 393.62 N/m 73. Which of the ff. gives the maximum flexural stress? 1. 21.3 MPa b. 13.49 MPa c. 7.89 MPa d. 17.20 Mpa 74. Which of the ff. gives the maximum shear stress? 1. 1.052 MPa b. 2.021 MPa c. 0.207 MPa d. 0.152 MPa PROBLEM 9:

The winch in the figure is used to move the 135kg uniform load. The coefficient of static friction between the log and the plane is 0.40. T

A

75. 76. 77. 78. 79.

2.4 m

600

B

Compute the tension T for impending sliding. 1. 435.42 N b. 537.45 N c. 735.63 N d. 626.0 N Compute the tension T for impending tipping. 1. 765 N b. 626 N c. 535 N d. 865 N Compute the maximum tension that can be applied for which the log remains at rest. 1. 765 N b. 626 N c. 535 N d. 865 N Compute the normal reaction between log and plane. 1. 872.22 N b. 636.52 N c. 782.22 N d. 755.82 N Compute the location of the normal reaction from A. b. 0.554 b.0.788 c.0.368  d.0.443