STRUCTURAL ENGINEERING AND CONSTRUCTIONEvaluation Exam INSTRUCTION: Select the correct answer for each of the following questions. Mark only one answer for each item by shading the box corresponding to the letter of the correct answer. 1. 2. 3. 4. 5. A 2-N weight is swung in a vertical circle of 1m radius at the end of the cable that will brake if the tension exceeds 500 N. Find the angular velocity of the weight when the cable breaks. a. 254 rpm c. 472 rpm b. 394 rpm d. 502rpm What horizontal force can be applied to a 100-kg block in a level surface with a coefficient of friction of 0.2, which will cause an acceleration of 2.5 m/s2? a. 244.5 N c. 100.8 N b. 446.2 N d. 507.1 N Three forces 20 N, 30 N and 40 N are in equilibrium. Find the angle between the 30 N and 40 N forces. a. 28.96O c. 21.65O O b. 32.72 d. 30.84O A force of 200 lb acts on a block at an angle of 280 with respect to the horizontal. The block is pushed 2 feet horizontally. What is the work done by this force? a. 230 J c. 328 J b. 510 J d. 480 J A metal specimen 36-mm in diameter has a length of 360 mm. A force of 300 kN elongates the length by 1.2 mm. What is the modulus of elasticity? a. 95.35 GPa c. 99.89 GPa b. 88.42 GPa d. 100.23 GPa 13. What maximum torque can be applied to a solid 115 mm diameter shaft if its allowable torsional shearing stress is 50.23 MPa a. 20 kN-m c. 30 kN-m b. 15 kN-m d. 25 kN-m 14. A solid circular steel column is to be design to carry an axial load of 620 kN. If the allowable axial stress is 46 MPa, what diameter of column is required? a. 151 mm c. 141 mm b. 121 mm d. 131 mm 15. A cantilever beam 3 m long carries a distributed load that varies uniformly from 40 kN/m at support to 20 kN/m at the tip. Determine the maximum moment. a. 120 kN-m c. 150 kN-m b. 130 kN-m d. 140 kN-m SITUATION III The allowable stresses for the splice shown are the following: 150 MPa for shear of rivets, 1.35Fy for bearing, 0.60Fy for tension and Fy = 250 MPa. Note: rivet holes are 2 mm bigger than the rivet diameter and the middle plate is 20 mm thick. How long will it take to reach the ground? a. 4.28 s c. 2.86 s b. 6.25 s d. 5.54 s 7. How far would it reach horizontally? a. 210 m c. 214 m b. 222 m d. 219 8. How high will it reach at it reaches zero velocity? a. 21.89 m c. 24.87 m b. 22.63 m d. 22.48 m 9. A 300 kg box impends to slide down a ramp inclined at angle of 25O with the horizontal. What is the frictional resistance? a. 2341.76 N c. 1243.76 N b. 1234.67 N d. 1432.67 N SITUATION II A mild steel column is hollow and circular in cross section with an external 350 mm and internal diameter of 300 mm. It carries a compressive axial load of 2000 kN. 10. Which of the following most nearly gives the direct shear stress in the column? a. 79.3 MPa c. 76.8 MPa b. 77.5 MPa d. 78.4 MPa 11. Which of the following gives the shortening of the column if its initial height is 5 m? a. 1.69 mm c. 1.96 mm b. 1.73 mm d. 1.85 mm 12. A 150 mm x 250 mm timber beam is subjected to a maximum moment of 28 kNm. What is the maximum bending stress? a. 15.72 MPa c. 24..23 MPa b. 17.92 MPa d. 18.97 MPa SITUATION VI An elevator weighing 9.8 kN moves upward from rest until it attains a velocity of 20 m/s after it travels a distance of 5 m. 25. Which of the following gives the acceleration of the elevator? a. 30 m/s2 c. 55 m/s2 2 b. 40 m/s d. 60 m/s2 26. Which of the following gives the time which the elevator travels at this instant? a. 0.2 s c. 0.5 s b. 0.7 s d. 1.2 s 27. Which of the following gives the tension in the cable supporting the elevator? a. 49.77 kN c. 76.89 kN b. 97.46 kN d. 64.79 kN SITUATION VII The hanger for each chandelier in the grand ballroom of a five – star hotel is composed of a 2 m diameter ring weighing 2.5 kN/m and is supported by 6 rods such that said ring will be 3 m below the ceiling support. SITUATION I A rock is thrown at a level ground with an angle of inclination of 22.78O and initial velocity of 54.23 m/s. 6. SITUATION V A floor opening in a building is to be closed by pouring a concrete slab. The proposed framing is composed of wood joist assumed to be simply supported and given with a total load of 4 kPa. 23. What is the maximum flexural stress in 40 mm x 190 mm wood joist if its span is 3 m and spaced at every 0.30 m on centers? a. 5.61 MPa c. 6.78 MPa b. 7.23 MPa d. 4.65 MPa 24. What is the maximum shearing stress in the said joists? a. 0.40 MPa c. 0.36 MPa b. 0.69 MPa d. 0.54 MPa 28. Find the tension in each rod. 16. Find the diameter of the rivets so that the joint capacity due to shear approximately equal to the bearing capacity. a. 25.4 mm c. 28.65 mm b. 30.79 mm d. 36.97 mm 17. Find the maximum safe value of P without exceeding the allowable shearing stress a. 773.6 kN c. 938.3 kN b. 878.1 kN d. 848.2 kN 18. Find the maximum safe value of P without exceeding the allowable tensile stress. a. 579.3 kN c. 716.1 kN b. 495.5 kN d. 692.5 kN a. b. 1.72 kN 3.38 kN c. 2.76 kN d. 2.62 kN 29. What is the minimum required diameter of each rod without exceeding the allowable stress 124 MPa. a. 5.32 mm c. 6.70 mm b. 4.41 mm d. 3.09 mm 30. A square tied column 400 mm on each side is reinforced with 8 – 25 mm bars with fy = 275 MPa. Assuming fc’ = 22 MPa, determine the ultimate axial load capacity of this column. a. 2250 kN c. 2243 kN b. 2239 kN d. 2356 kN 31. A reinforced concrete spiral column having a SITUATION IV A rocket was fired at 350 m/s from a level ground at an angle to reach a maximum range. 19. Compute the total time of flight. a. b. 15.75 s 50.46 s c. 46.38 s d. 37.91 s 20. Find the range. a. b. 12,487.26 m 11,876.90 m c. 9,174.21 m d. 14,294.55 m 21. Find the maximum height reached by the rocket. a. 4197.25 m b. 1876.90 m c. 3121.82 m d. 2294.11 m 22. A simply supported wooden beam 120 mm x 180 mm and 6 m long carries a uniformly distributed load of 4 kN/m. Determine the horizontal shearing stress developed at layer 30 mm from the top for a section 1 m from the left support. a. 350 kPa c. 246 kPa b. 309 kPa d. 450 kPa diameter of 500 mm carries an ultimate load of 5000 kN. If fc’ = 25 MPa and fy = 400 MPa, find the number of 28 mm diameter bars. a. 16 c. 17 b. 18 d. 19 SITUATION VIII A rectangular footing, 0.70 m thick, 2.5 m wide along the y-axis and 3 m long along x-axis, supports concentrically a column 0.40 m square subjected to the following loads: Axial load = 1200 kN Moment about the y-axis = 360 kN-m 32. Determine the maximum soil pressure. a. 256 kPa c. 188 kPa b. 268 kPa d. 215 kPa 33. Determine the minimum soil pressure. a. 64 kPa c. 56 kPa b. 49 kPa d. 72 kPa SITUATION IX A rectangular beam has a width of 300 mm and an effective depth of 500 mm. The beam has a span of 6 m. If fy =280 MPa and fc’ = 28 MPa: 69 kN-m d. 4094 mm2 c. If fc’ = 21 MPa and fy = 275 MPa: 61. 46. 8659 mm d.22 kN-m c. Which of the following most nearly gives the nominal capacity of the beam? a. it is heated uniformly along its length. Use Ew = 12000 MPa.04 65. Which of the following gives the stress that will be induced in the rails at that temperature if there were no initial clearance? a.56 kN/m d. 1. Which of the following gives the deviation at A. 30 x 106 59. 12. 12. 15. 72. 20.57 kN/m b. 16 mm d. 7.92 m b. 20. 60 MPa 51. 45 mm 57. 425 mm d.35O b. found to be 1. 140 kN-m d. Which of the following gives the residual stress in the member when it cools to its original temperature? a.87 s c. To enable the member to be fitted.124 m a. 320 mm d. fy = 280 MPa and fc’ = 30 MPa. 35. 22.35 b. 0. 221. 1. 2. It is reinforced for tension only with 4 – 20 mm diameter bars. 40. 65 x 106 c. 48 MPa b. 390 mm b. 300 mm 42. The applied moment is 300 kN-m. 64.33 m d. 30 kN d. 2670/EI b.075 c. from the tangent drawn at C? a. 10.27 s 1.6OC O b.5 kN b.57 kN/m c. 14.64OC d. 67. Find the effective soil pressure.0493 d. 189.46oC c. 130 x 106 d. Determine the area of tension steel reinforcement required. Each log must be capable of carrying a uniform load of 12 kN/m. a. 40 x 106 6 b. Which of the following gives the percentage of spiral ratio? a. 8 b. Which of the following nearly gives the total uniform unfactored service dead load? a. 2166 mm d.69 kN/m d.67 kN/m 37. 1. 290 mm 41.86 m c. 4571 mm2 c.5 kN d. A simply supported beam carries a uniform load of 24 kN/m. 36.7 kN-m b. a. 2. 227. 173.544 m c. 0.78 m 45. 4700/3EI c.1 kPa c. Which of the following gives the strain of the member? a. 100 MPa c. 62.742% 52.11 kPa d. 3983 mm2 SITUATION XVI A certain area is found to have the following properties: Ix = 100 x 106 mm4 Iy = 60 x 106 mm4 Ixy = 15 x 106 mm4 58. 5. 0.435 mm SITUATION XV For the given frame shown. 209.346% c. 54. 45 kN 53.5 MPa for bending and 0. Find the ultimate soil pressure at the bottom of the footing. A 100 x 300 mm rectangular beam carries a uniformly distributed load of w kN/m over its entire simple span. 6. 10 mm c.7 x 10-6 /OC.246% d. 105 x 106 120 x 106 c.70 MPa. 200 MPa d. 367/3EI d. 37. a.88 kN/m b. Coefficient of thermal expansion a= 11. 320 mm d. 149. a. 55 x 10 d. The beam is to be analyzed using the strength design method.3 kPa d. Use E = 200 GPa and I = 240 x 106 mm4. 2. Which of the following gives the diameter of the log not to exceed the maximum deflection? a.81 m d. Neglect the log weight. 0.000012 /OC.36 kN/m c.5 kPa b. 82.554 m b. Which of the following is the most suitable diameter of log to be used in the footbridge? a. 45 kN b.4 kPa 44. 300 mm c. Which of the following gives the temperature when the rails will just touch? a. 467/EI .5 mm short when positioned in a framework.5OC c. analyze using cantilever method: 56. 2.46 m 18. 6 63. Which of the following most nearly gives the balanced steel ratio? a. 4 d. Find the minimum moment of inertia. E = 200 GPa. 310 mm b.27 MPa and maximum allowable shearing stress is 0. It carries a 120 mm thick slab and 6 m wide. 287. b. 3. 160 kN-m b. 2.5OC 47.75 b. The total depth is 600 mm and the effective depth is 500 mm.00075 48. 50. 150 MPa b. 230. 20 mm 62. 5105 mm2 2 b. What is the initial velocity in kph? a. a. The flange thickness is 100 mm and its effective flange width is 900 mm. 19. 460 mm d. 25. 420 mm c. 490 mm b. 17.139% b.6 kN-m 38. 150 kN-m SITUATION XVIII A projectile is fired upward to the right at an initial slope of 4 vertical and 3 horizontal and hits the ground at a point 2 m higher than the origin.0075 d. 435 mm c. 58 mm d. 1. 2. Which of the following most nearly gives the diameter not to exceed the allowable shearing stress? a. Which of the following gives the axial load for column BD? a. 78 mm c. 15. 80 MPa d.54 kPa b. 115 x 106 60. Which of the following gives the shear at column DF? a.8 C d. 1.755 mm b. Which of the following most nearly gives the unfactored uniform live load capacity of the beam? a. 120 kN-m a. 54 MPa c. 0. 46. Find the angle that weakest axis makes with the x-axis.0345 35. a. 320 mm SITUATION XII The following are design data for a column footing: Column size = 450 mm x 450 mm Column load: DL = 1000 kN LL = 780 kN Soil bearing capacity = 240 kPa Depth of footing = 1. 0. 55. The beam width is 250 mm and effective depth is 400 mm.12 kPa c. E = 200 GPa.34O c. 425 mm b. 3. 5 c.7 MPa and fy =414 MPa.beam is to be designed for tension reinforcement only. The weight of concrete is 24 kN/m3. 7645 mm2 2 b. tA/C.19 kPa SITUATION XIII A structural member 2 m long. 5546 mm2 SITUATION X A 6 m simply supported reinforced concrete rectangular beam is 250 mm wide.64OC b. determine the safe span of the beam. 62.62OC 50.245 mm c. Which of the following most nearly gives the maximum steel area allowed by the code? a. coefficient of thermal expansion a= 0. The maximum height is attained 8 m away from the origin. 21. What is the required log diameter not to exceed the allowable flexural stress? a. b. Which of the following gives the necessary temperature rise to enable the member to be fitted? a. a. Use fc’ = 20. Which of the following gives the moment at support B? a.65 d. 0. 250 MPa SITUATION XIV Steel railroad rail 10 m long are laid with a clearance of 3 mm at a temperature of 15OC. 166.79 c. 50 kN 54. Determine the range of the projectile. 1. 39. Allowable stresses are 8.5 kN c. Which of the following gives the minimum number of longitudinal bars? a. 460 mm c. 3. 95 kN c. Find the minimum safe dimension of the isolated square footing. 1. 156. c. 1. 12 mm b.0576 b. 18. Which of the following gives the gap between rails at a temperature of 30OC? a. 490 mm 40. 62 mm b.80 s SITUATION XIX A prismatic beam is loaded as shown.82 m 66.44O SITUATION XVII A spiral column has a diameter of 600 mm.0532 c. 8.56 s d. A reinforced concrete T. 2.12 kN/m SITUATION XI An 8 m simply supported footbridge consists of logs of constant diameters. b. 38. 0.84O d. 59. Find the total time of flight. If the maximum allowable bending stress is 8. a. 49. 332.82 MPa for shear and maximum allowable deflection is L/240.854 m d.5 m Concrete unit weight = 24 kN/m3 Soil unit weight = 18 kN/m3 Thickness of the footing slab = 600 mm Steel covering = 100 mm 43. a. 420.76 m c. 3.34. Determine the maximum moment of inertia. Determine the deflection at a point 4 m from the left support.215 mm d. Which of the following gives the minimum diameter of spiral reinforcement? a. 600 N c. Find the depth of the rectangular stress block.000 b. -100/3EI c. 1750 mm c. 4. 4 c. 8. 20 kN and 30 kN.48 mm 74.0 kN d. 6.4 mm 76.63 MPa c. Spacing of beams is 2. 3.93O c.56 . Determine the ultimate moment capacity of SITUATION XXIII A reinforced concrete T-beam has a slab thickness of 100 mm which is supported by 6. The block is placed at a vertical distance of 6 m above the bottom of the inclined plane.5 m span length beams casts monolithically with the slab. The truck crosses a bridge having a simple span of 15 m. 5.35O 84.5 mm2 c. It is reinforced by 4 – 25 mm diameter bars in tension and 2 – 25 mm diameter bars in compression. 21. a. 3212. 35.31 m/s d.98 m/s c. Which of the following gives the effective width of the flange? a. 3424. 6 d. -4. 4. -2560/3EI 69.78O c. Which of the following gives the minimum diameter so that the allowable angle of twist of 6O will not be exceeded? a. compute the maximum shearing stress of the beam. Which of the following gives the deviation at D. 94. 18.3 mm d.000. Which of the following most nearly gives the acceleration of the block? a. 43.36 m/s2 2 b. A truck has wheel loads of 10 kN. 63. 54.7 mm 91. 3. Effective concrete cover is 70 mm.3 mm b. fc’ = 20.5 kN c. 31. 50 mm 77. Which of the following gives the elongation of the rod due to its weight? a.25 mm b.15 m/s 99. G = 80 GPa. and P3 = 38 kN(4. 2. 194 kN-m b. 38. value of b? a.7 mm c. 29 mm c. Which of the following gives the area of steel bars needed? a. a. 3. determine the required thickness of the pipe.25. 0.632O d. a.3 mm2 d. 97.69 kN-m b. 43. 90. 26. What is the maximum shear on the beam of the bridge due to moving loads? a. 4. 2. 8 SITUATION XXIV A 300 mm x 500 mm reinforced concrete beam (fy = 248 MPa and fc’ = 30 MPa) that is 12 m long is supported by hinge/roller at ends and mid span. Which of the following most nearly gives the SITUATION XXI A steel rod having a cross sectional area of 300 mm2 and a length of 150 m is suspended vertically from one end.36 mm b.8 MPa b. -3). 19. 0.000 MPa. a.5 m in diameter is required to carry an internal pressure of 750 kPa. 300 N b. a. 97. 22.09 s 100. 59 mm b.66 c.452O 61.045O c.81 kN-m 79. 2. 36 kN SITUATION XXII The concurrent forces shown are in equilibrium.2 MPa d. 2. Which of the following most nearly gives the moment of inertia of the section about the neutral axis in mm4 a. Ix = 50 x 106 mm4.89 s b.94 s d. Iy = 120 x 106 mm4.000 95.000 c.29O b. 2400 mm b. 48.0 kN c. 49 mm d. 4. 3. 87. 6). separated at a distance 3 m and 5 m respectively. 8. Which of the following most nearly gives the value of a? a. 2.02 mm SITUATION XXV A beam has a T – section built up by two plates as follows: 200 mm x 40 mm plate as flange and 100 mm x 20 mm plate as web. 52 kN b. 57. a. 174 kN-m c. 48. Which of the following gives the total elongation of the rod? a. 56.45 d. 45 mm d. Which of the following gives the torque carried by the shaft? a.71 MPa 96. Which of the following gives the minimum diameter so that the allowable torsional shearing of 40 MPa will not be exceeded? a. 5 b.7 MPa and fy = 414 MPa. Which of the following most nearly gives the resultant of the 200-N and 400-N forces? a.3 mm c. 2. 2064. 2.3 kN-m SITUATION XXII A solid shaft in a rolling mill transmits 20 kW at 2 revolutions per second.94 MPa b. 2. 60 mm c. 75.52 kN c. 49. Find the ultimate uniform load it can carry throughout its length.4 mm2 b. A 400 N block slides on a horizontal plane by applying a horizontal force of 200 N and reaches a velocity of 10 m/s in a distance of 30 m from rest. tD/C. 551. 35 mm b.000 d.4 kN-m c. 1900 mm d. 0. Which of the following most nearly gives the magnitude of the resultant force? a. 1. The length of the shaft is 3 m and modulus of rigidity is 83. Which of the following gives the number of 28 mm diameter bars needed? a.59 kN-m c. A triangular wooden beam width of 150 mm base and 300 mm height carries two concentrated loads of 20 kN at third points.3 mm b. How long will it takes for the block to reach the bottom of the inclined plane? a. 15.600. 48.7 kN-m d. 55 mm 81.48 MPa c. 78. 61. The unit mass of steel is 7850 kg/m3 and E = 200 GPa. 97/3EI b. If the allowable tensile stress is 140 MPa. Which of the following gives the elongation of the rod due to the tensile load? a. 3. -200/3EI d. 82. 606. 10. P1 = 126 kN (-1.4 m on centers and has a web width of 300 mm and effective depth of 485 mm.12 mm d.2 MPa SITUATION XXV A block initially at rest slides down an inclined plane at angle of 30O with the horizontal.53O d. 32. 4. 83. Which of the following most nearly gives the y – component of the resultant force? a. b. 70. a.3 mm d. 76 mm 80. 93. 5. -3). 40 mm b.43O 54. 89/3EI d.700.4 kN b. 5. 52.78 kN/m d. 71.56 mm c.43 mm d. 58.78 kN/m 93.68. 501. 65. The coefficient of kinetic friction between the block and the plane is 0. 366/3EI SITUATION XX A concurrent force system in space is composed of three forces that act through the origin and the following points. b.78 kN/m b. Which of the following most nearly gives the shear stress on the web at the junction of the web and the flange? a. 0.84 m/s b. Compute the minimum radius of gyration. P2 = 93 kN (5. What is the angle of twist for a solid aluminum rod 100 mm in diameter subjected to a twisting moment of 10 kN-m. If the simple span of the beam is 6 m.2 mm d. 356 kN-m 92. The beam carries a live load moment of 163 kN-m and a dead load moment of 84 kN-m. 32 kN c. 2. Find its nominal moment capacity. The rod is 3 m long. 52. Which of the following gives the deflection at D? a. 0. 1. 200 N d.78 kN/m c. 48 kN d. Determine the coefficient of friction between the floor and the block. 45 mm d.21O 86. 0. 3.2 kN-m b.500. 1. 76.1 mm b. 58. A steel pipe 1. A = 6000 mm2.33 MPa d. 78. Which of the following most nearly gives the shear stress at the neutral axis? a. 4.4 kn d. 55.6 MPa c. 39.45 m/s2 c.19O d.20 kN 72.78 m/s2 98. -1600/3EI b. 3. 4. 88 mm c. 4. 587.6 mm2 89.256O 85. It supports a tensile load of 20 kN at the lower end.9 kN b. 61. 24.8 kN 73. 19. 1625 mm 88. 1.86 MPa 82.4 mm a doubly reinforced rectangular concrete beam having the following properties: b = 350 mm fy =345 MPa d = 600 mm As = 3265 mm2 d’ = 63 mm As’ = 775 mm2 fc’ = 27.5 MPa a. 1890. b.7 mm c. The properties of a given steel section are as a. 2.28 MPa d.32 mm c.5 kN 71.60 kN b. 57.45 kN-m d.33 b. 1. Which of the following gives the velocity of the block after it has traveled 3 m? a. 280/3EI c. 250 N follows. Which of the following most nearly gives the x-component of the resultant force? a. Ixy = 75 x 106 mm4.08 m/s d.02 s c. from the tangent drawn at C? a. 276 kN-m d. 73. The maximum shear force acting on the beam is 60 kN.58 MPa 0.55 kN d. 84.