REVIEW INNOVATIONS MANILA – BAGUIO - CEBU - DAVAO PHILIPPINES CIVIL ENGINEERS First Preboard Examination Sunday, August 13, 2023 3:00 p.m. — 6:00 p.m. ---------------------------------------------------------------------PRINCIPLES OF STRUCTURAL ANALYSIS AND DESIGN SET A 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 your choice on the answer sheet provided. STRICTLY NO ERASURES ALLOWED.GOOD LUCK. NOTE: A times B is represented by A × B or A*B. A raised to the power n is expressed as A^n. All problems are 1 point each. Situation 1. The scissors lift consists of two sets of cross members and two hydraulic cylinders, DE, symmetrically located on each side of the platform. The platform has a uniform mass of 60 kg, with a center of gravity at G 1. The load of 85 kg, with center of gravity at G2, is centrally located between each side of the platform. Rollers are located at B and D. 1. Determine the reaction in each of the pins at A for equilibrium, in N. A. 307.38 C. 403.85 B. 614.76 D. 807.69 2. Determine the reaction in each of the pins at C for equilibrium, in N. A. 1,066.9 C. 2,142.4 B. 2,133.8 D. 1,071.2 3. Determine the force in each of the hydraulic cylinders for equilibrium, in N. A. 1,066.9 C. 2,142.4 B. 2,133.8 D. 1,071.2 Situation 2. 4. For the beam loaded as shown, determine the following: What is the moment at A? A. 12 k-ft B. 14 k-ft C. 16 k-ft D. 18 k-ft Page 1 of 7 CIVIL ENGINEERS First Preboard Examination Sunday, August 13, 2023 3:00 p.m. — 6:00 p.m. PRINCIPLES OF STRUCTURAL ANALYSIS AND DESIGN 5. What is the vertical reaction at B? A. 12.5 kips C. 10.5 kips B. 7.5 kips D. 5.5 kips 6. What is the deflection at a point 7-ft from the fixed support A. 137.59/EI C. 214.25/EI B. 183.75/EI D. 296.76/EI Page 2 SET A Situation 3. A reinforced concrete beam has a width of 300mm and an effective depth of 520 mm. Use fc’ = 21 MPa and fy = 415 MPa. U = 1.2D + 1.6L. 7. If the beam will carry a total factored moment of 320 kN -m, determine the required number of 25 mmØ tension bars. A. 3 C. 5 B. 4 D. 6 8. Determine the design flexural strength (kN-m) if it is reinforced for tension only by 3-20 mmØ bars. A. 189 C. 170 B. 223 D. 144 9. Determine the design flexural strength (kN-m) if it is reinforced for tension only by 4-28 mmØ bars. A. 434 C. 400 B. 390 D. 351 Situation 4. Two heavy closely-coiled springs support a load, P. 10. If one spring has a spring constant of 8 kN/m and the other, 10 kN/m, what is the equivalent spring stiffness, k (in kN/m), if the springs are in parallel? A. 4.4 C. 9 B. 18 D. 8.9 11. If one spring has a spring constant of 8 kN/m and the other, 10 kN/m, what is the equivalent spring stiffness, k (in kN/m), if the springs are in series? A. 4.4 C. 9 B. 18 D. 8.9 12. If both springs have a mean diameter of 150 mm and a wire diameter of 20mm, find the maximum safe value of P (in kN) considering an allowable shear stress of 138 MPa. Use Wahl’s Formula. A. 5.40 C. 4.80 B. 2.40 D. 2.70 Situation 5. A reinforced concrete beam has a width of 250 mm and a total depth of 550 mm. Effective cover of bars is 60mm. Compressive reinforcement (if required) will be placed at d’ = 60mm. f’c = 21 MPa and fy = 415 MPa. Follow 2010/2015 NSCP provision and use 𝜙 = 0.90 for flexure. 13. Which of the following most nearly gives the As (mm2), if the beam carries a factored moment A. 340 B. 414 required area of steel reinforcement, of 60 kN-m. C. 464 D. 512 14. Which of the following most nearly gives the required area of steel reinforcement, As (mm2), if the beam carries a factored moment of 179 kN-m? A. 414 C. 1,091 B. 828 D. 1,224 15. Which of the following most nearly gives the required area of steel reinforcement, As (mm2), if the beam carries a factored moment of 264 kN-m? A. 1,370 C. 1,843 B. 1,680 D. 1,715 Page 2 of 7 CIVIL ENGINEERS First Preboard Examination Sunday, August 13, 2023 3:00 p.m. — 6:00 p.m. PRINCIPLES OF STRUCTURAL ANALYSIS AND DESIGN Page 3 SET A Situation 6. As shown in the figure, cylinders C and D are attached to the end of the cable which supports a steel girder with a mass per unit length of 50 kg/m. If cylinder D has a mass of 600 kg, 16. Determine the required mass of cylinder C, in kg. A. 478 C. 459 B. 440 D. 450 17. Determine the maximum sag h of the cable, in m. A. 0.47 C. 0.54 B. 0.62 D. 0.83 18. Determine the total length of the cable between the pulleys A and B, in m. A. 13.7 C. 13.2 B. 13.4 D. 13.5 Situation 7. A cantilever shaft 76 mm in diameter is subjected to a load, P. Consider the following allowable stresses: Compression, FC = 5 MPa Tension, FT = 7.5 MPa Shear, Fv = 3 MPa 19. Determine the maximum safe value of P (in kN) if P is a longitudinal load acting at the free end and is directed towards the fixed end. Assume zero eccentricity. A. 22.8 C. 22.6 B. 34.2 D. 34.0 20. Determine the maximum safe value of P (in kN) if P is a transverse load acting on the shaft just before the fixed end. Assume zero eccentricity. A. 10.2 C. 10.3 B. 13.6 D. 13.7 21. Determine the maximum safe value of P (in kN) if P is a transverse load acting eccentrically at 100 mm from the axis of the shaft just before the fixed end. A. 2.3 C. 1.9 B. 2.6 D. 2.1 Situation 8. The section at support of a 5.5m cantilever beam is shown in Figure RCB-001. b x h = 300 mm x 500 mm; Clear concrete cover = 50 mm; concrete strength, f’c = 28 MPa; steel yield strength, f y = 420 MPa; main reinforcement = 25 mm diameter; stirrups = 12mm diameter. U = 1.2D + 1.6L. 22. Determine the design flexural (kN-m) strength of the section. A. 291.12 C. 272.94 B. 303.27 D. 147.18 23. Find the total factored uniform load, wu (kN/m), that the beam can support. A. 72.18 C. 18.04 B. 19.25 D. 9.73 Page 3 of 7 CIVIL ENGINEERS First Preboard Examination Sunday, August 13, 2023 3:00 p.m. — 6:00 p.m. PRINCIPLES OF STRUCTURAL ANALYSIS AND DESIGN Page 4 SET A 24. Find the maximum safe uniform service liveload (kN/m) that can be supported by beam, if it already carries a total factored deadload of 10kN/m. A. 3.77 C. 5.02 B. 5.78 D. 38.86 Figure RCB-001 Situation 9. For the structures shown, Determine the classification of the structures. 25. What is the degree of indeterminacy? A. 1st Degree B. 2nd Degree C. 3rd Degree D. 4th Degree 26. What is the degree of indeterminacy? A. Unstable C. Indeterminate to the 5th degree B. Determinate D. Indeterminate to the 6th degree 27. What is the degree of indeterminacy? A. Unstable C. Indeterminate to the 1st degree B. Determinate D. Indeterminate to the 2nd degree Page 4 of 7 CIVIL ENGINEERS First Preboard Examination Sunday, August 13, 2023 3:00 p.m. — 6:00 p.m. PRINCIPLES OF STRUCTURAL ANALYSIS AND DESIGN Page 5 SET A Situation 10.The truss shown is used to support the sign. 28. Determine the force in member FG, in N. A. 1,800 N (T) C. 4,025 N (T) B. 1,800 N (C) D. 4,025 N (C) 29. Determine the force in member GC, in N. A. 1,800 N (T) C. 3,600 N (T) B. 1,800 N (C) D. 3,600 N (C) 30. Determine the force in member CB, in N. A. 3,600 N (T) C. 4,025 N (T) B. 3,600 N (C) D. 4,025 N (C) Situation 11.If each one of the ropes will break when it is subjected to a tensile force of 450 N, Page 5 of 7 CIVIL ENGINEERS First Preboard Examination Sunday, August 13, 2023 3:00 p.m. — 6:00 p.m. PRINCIPLES OF STRUCTURAL ANALYSIS AND DESIGN Page 6 SET A 31. Determine the maximum uplift force F (in N) the balloon can have before one of the ropes breaks. A. 843 C. 1,774 B. 1,433 D. 1,216 32. Which of the three ropes will break first? A. AB C. AD B. AC D. all 33. Determine the tension in rope AD before one of the ropes breaks. A. 265 C. 214 B. 450 D. 365 Situation 12. at A. A car hit a tubular steel post at B. The post is fixed to the ground Given: Force from the car, P Section of the post = Thickness of the post Modulus of Elasticity H1 = 1.5m H2 = 1.0m = 185 kN 300x300mm = 15 mm = 200 GPa 34. How much is the resulting deflection at midlength? A. 8.97 mm C. 4.48 mm B. 1.16 mm D. 3.37 mm 35. How much is the resulting deflection at c? A. 8.97 mm B. 17.94 mm C. 3.08 mm D. 6.16 mm 36. To prevent excessive deflection, a spring support is added at the free end. If the spring deforms 0.12 mm per 1 kN of compressive force, what is the reaction(kN) of the spring? A. 74.65 kN C. 26.53 kN B. 77.27 kN D. 38.61 kN Situation 13.A pressure vessel, 500 mm in diameter is to be fabricated from steel plates. The tensile strength of the steel material is 414 MPa. 37. The vessel is to be cylindrical and will be subjected to an internal pressure of 4 MPa. Which of the following gives the required thickness (mm) of the plate? Consider a safety factor of 3.0. A. 8 C. 7 B. 6 D. 4 38. What is the required plate thickness and will be subjected to an internal of 3.0. A. 8 B. 4 (mm) of the vessel if it is to be spherical pressure of 4 MPa? Consider a safety factor C. 6 D. 3 39. Which of the following gives the maximum internal pressure (MPa) that a cylindrical vessel, 12 mm thick, can be subjected to, if the allowable steel stress is 120 MPa? A. 5.7 C. 5.8 B. 11.5 D. 11.6 Page 6 of 7 CIVIL ENGINEERS First Preboard Examination Sunday, August 13, 2023 3:00 p.m. — 6:00 p.m. PRINCIPLES OF STRUCTURAL ANALYSIS AND DESIGN Situation 14. A 7 m load of 12 kN/m. Properties of W 480 A = 10800 mm2 bf = 180 mm tf = 15 mm d = 480 mm Page 7 SET A beam fixed at both ends supports a total uniformly distributed x 86: Ix = 383.13 x 106 mm4 tw = 12 mm 40. Calculate the maximum moment in the beam in kN-m. A. 110 C. 32 B. 49 D. 150 41. Calculate the maximum bending stress in the beam in MPa. A. 30.7 C. 62.3 B. 73.2 D. 20.05 42. Calculate the bending stress (MPa) 100 mm from N.A. A. 6.6 C. 8.4 B. 9.0 D. 12.8 Situation 15. A wide flange beam the following properties: d = 300 mm bf = 250 mm Ix = 172.12x106 mm4 tw = 12 mm tf = 15 mm A 43. Calculate the maximum shear stress (MPa) if V= 100 kN. A. 11 C. 32 B. 29 D. 15 44. Calculate the higher shear stress (MPa) A. 40.7 C. 52.3 B. 43.1 D. 60.1 at A if V= 200 kN. 45. Calculate the lower shear stress (MPa) at A if V= 150 kN. A. 1.6 C. 1.4 B. 2.0 D. 1.9 Page 7 of 7