1.A propped beam is as shown in Figure TS(S-N01). The moment applied at the simple supported end causes a unit rotation at that end.
Part 1: Which of the following gives the value of the moment M. A. 650 kiloNewton-met kiloNewton-meter er B. 550 kiloNewton-meter C. 600 kiloNewton-meter D. 500 kiloNewton-meter Part 2: Which of the following gives the reaction at the simple support. A. 87.25 kiloNewto kiloNewton n B. 75.85 kiloNewton C. 104.55 kiloNewton D. 93.75 kiloNewton Part 3: Which of the following gives the moment at the fixed end. A. -250 kiloNewtonkiloNewton-meter meter C. -150 kiloNewton-meter B. -450 kiloNewton-meter D. -550 kiloNewton-meter 2. A solid steel shaft 60 mm in diameter and 6.5 m long is subject to torque as shown in Figure ST(S7-D). The shaft is attached to a rigid support. Modulus of rigidity of steel is G = 83 GPa.
Part 1: Which of the following gives the reaction at the rigid support. A. 800 Newton·meter B. 200 Newton·meter C. 1200 Newton·meter D. 1000 Newton·meter Part 2: Which of the following gives the maximum shearing stress in the shaft. A. 28.29 MegaPascals B. 25.43 MegaPascals C. 20.36 MegaPascals D. 23.58 MegaPascals Part 3: Which of the following gives the total angle of twist at the free end. A. 2.22 degrees B. 1.79 degrees C. 2.76 degrees D. 1.43 degrees 3.The beam shown in Figure TH(01-D) is 150 mm wide and 300 mm deep. The allowable bending stress on extreme fiber is 8 MPa. If x = 2 m
Part 1: Which of the following gives the maximum moment that the beam can resist. A. 15.50 kiloNewton·meter B. 18.00 kiloNewton·meter C. 27.50 kiloNewton·meter D. 34.00 kiloNewton·meter Part 2: Which of the following gives the maximum value of the uniform load w. A. 9 kiloNewton/meter B. 14 kiloNewton/meter C. 15 kiloNewton/meter D. 21.5 kiloNewton/meter Part 3: Which of the following gives maximum value of P. A. 12.5 kiloNewton B. 20.0 kiloNewton C. 27.8 kiloNewton D. 18.0 kiloNewton 4. A propped beam is as shown in Figure TS-11(00). The moment applied at the simple supported end causes a unit rotation at that end.
Part 1: Which of the following most nearly gives the value of the moment M? A. 670 kiloNewton-meter B. 690 kiloNewton-meter C. 700 kiloNewton-meter D. 710 kiloNewton-meter Part 2: Which of the following most nearly gives the reaction at the simple support? A. 120 kiloNewton B. 140 kiloNewton C. 170 kiloNewton D. 155 kiloNewton Part 3: Which of the following most nearly gives the moment at the fixed end? A. -300 kiloNewton-meter B. -330 kiloNewton-meter C. -350 kiloNewton-meter D. -380 kiloNewton-meter 5. A simply supported beam with span of 10 meters is subjected to a uniform vertical downward load, including its own weight, equal to 50 kiloNewtons per meter acting on the plane of the minor axis of the beam section. The beam is restrained against lateral buckling of the top and bottom flanges for the entire span. The material is A36 steel with Fy = 248 MegaPascals and modulus of elasticity = 200 GigaPascals. The allowable flexural stress for laterally braced compact sections is 0.66 Fy. The allowable deflection is 1/360 of the span. Three compact sections are being considered, as follows, with their respective properties relevant of this problem (length units are in meters): Section
Moment of Inertia (Ix)
Beam depth (D)
W 26 × 66
0.00124
0.654
W 30 × 74
0.00146
0.772
W 24 × 62
0.00119
0.618
(Note: The symbol x^y means raising the quantity or expression x to the exponent y.) Part 1: Which of the following most nearly gives the minimum section modulus (Sx), such that the maximum flexural stress will not be exceeded: A. 0.
00382 meters^3
B. 0. 00376 meters^3 C. 0.00523 meters^3 D. 0.00315 meters^3 Part 2: Which of the following most nearly gives the minimum moment of Inertia (Ix), such that maximum deflection will not be exceeded: A. 0.00128 meters^4
B. 0.00098 meters^4 C. 0.00104 meters^4 D. 0.00117 meters^4 Part 3: Assuming that shear stress is not critical, which of the sections being considered is the most economic section that is adequate for the given load: A. W 30 × 74 B. W 24 × 62 C. W 26 × 66 D. None of the sections are adequate 6. Situation - Reaction at simple support of a propped beam with uniform loading A prismatic beam 8 m long is fixed at the left end and simply s upported at the right end. The beam carries a uniformly distributed load of 400 kN/m throughout its length. Part 1: Which of the following most nearly gives the deflection at the right end due to uniform load when the simple support is removed. A. 237600/EI B. 214700/EI C. 184500/EI D. 204800/EI Part 2: Which of the following most nearly gives the deflection at the right end due to a unit load alone acting at the right end, with the simple support removed. A. 614/3EI B. 512/3EI C. 457/3EI D. 537/5EI Part 3: Which of the following most nearly gives the reaction at the simple support. A. 1200 kiloNewton B. 1500 kiloNewton C. 1300 kiloNewton D. 1000 kiloNewton 7. A concrete column of cross-sectional area Ac is reinforced by steel bars of area As, the modulus of elasticity of concrete is Ec and that of steel is Es. A load P is transmitted to the column through a rigid plate so that the deflection of the concrete is equal to that of the steel. Given P, As, Ac, Es and Ec, the shortening of deflection of the column is: A. P × Ec / (Ac Ec + As Ec) B. P × L / (Ac Ec + As Es) C. P × Es / (Ac Ec + As Es) D. none of the list 8. A cantilever beam has a vibrating mass m at the tip. The beam has the following properties: Length = 317.5 mm Thickness = 6.35 mm Width = 25.4 mm 3 Modulus E = 206.85 × 10 MPa Calculate the value of spring constant k for the given beam. A. 0.0105 N/mm B. 1 N/mm C. 10.5 N/mm D. none of the list
9. Determine the stress flow, q of a beam 0.25 m × 0.50 m in section that is subjected to a shear of 95 kN is; A. 526 kN/m B. none of the list C. 258 kN/m D. 285 kN/m
Engineering Eco 1. An investment of P2,500 is made at the end of each year with interest of 2.5% compounded annually. Part 1: Determine the equal-payment-series compound-amount factor after 8 years. A. 8.412 B. 10.578 C. 9.632 D. 8.736 Part 2: Determine the total amount of the investment after 8 years. A. P23,863.12 B. P25,786.98 C. P22,456.21 D. P21,840.29 Part 3: How long (in years) will it take for the investment to amount to P59,865.00? A. 17 B. 14 C. 19 D. 22 2. A certain copier machine cost P150,000 with a trade-in value of P15,000 after making 800,000 copies. Using the declining balance method, what is the book value when the machine had made 300,000 copies? A. P68,111 B. P64,896 C. P62,531 D. P63,254 3. A machine costing P480,000 has a life expectancy of 12 years with a salvage value of 10% of the first cost. What is the book value after five years using the declining balance method. A. P183,897 B. P152,758 C. P196,432 D. P214,785 4. Five thousand dollars is deposited at the end of each year for 15 years into an account earning 7.5% compounded continuously. Find the amount after 15 years. A. $133 541.3 B. $152 754.2 C. $148 365.9 D. $112 854.1 5.How long will it take for money to quadruple itself if invested at 20% compounded quarterly? A. 10.7 years B. 6.3 years
C. 9.5 years D. 7.1 years 6. The labor and material cost for a riprapping work is as follows: Labor: 1 Foreman @ P50.00 per hour 1 Skilled worker @ P40.00 per hour 5 Unskilled workers @ P35.00 per hour Materials (For every 1 cu. m. volume): Portland cement = 3 bags @ P150.00 per bag Sand = 0.25 cu. m. @ P300.00 per cu. m. Boulder = 1 cu. m. @ P250.00 per cu. m. The accomplishment of the above laborers is 0.45 cubic meter per hour. Profit, overhead, and miscellaneous expenses is 30% of the labor and material cost. Value Added Tax (VAT) is 10% of the labor cost. Part 1: Which of the following gives the labor cost per cubic meter. A. P265.00 B. P589.00 C. P678.00 D. P521.00 Part 2: Which of the following gives the cost of materials per cubic meter. A. P565.00 B. P865.00 C. P775.00 D. P655.00 Part 3: Which of the following gives the total cost of riprapping per cubic meter. A. P1,832.00 B. P1,754.00 C. P1,982.00 D. P1,635.00 7. A certain equipment has a first cost of P900,000, life of 8 years, and a salvage value of P200,000. Part 1: Which of the following gives the book value of the equipment after 5 years using the straight-line method. A. P421,800.00 B. P462,500.00 C. P345,800.00 D. P498,200.00 Part 2: Which of the following gives the book value of the equipment after 5 years using the sum-of-the-year’s-digit method. A. P389,325.00 B. P412,345.00 C. P267,329.00 D. P316,667.00 Part 3: Which of the following gives the book value of the equipment after 5 years using the double declining balance method. A. P325,982.00
B. P245,389.00 C. P253,235.00 D. P213,574.22 8. Situation A contractor was awarded a four-year contract for trucking services. He wishes to purchase pick-up truck worth P1,000,000 each. The truck is to be used for 20,000 km per year. The estimated fuel consumption per year is P125,000. The dealer of the truck agrees to handle all the maintenance cost for four years at an additional cost of P200,000. Money is worth 15% per year. Salvage value of the truck after four years is P300,000. Part 1. Which of the following gives the annual cost of the truck not including the maintenance cost. A. P345,872.23 B. P457,198.45 C. P376,349.94 D. P415,185.75 Part 2. Which of the following gives the annual cost of maintenance alone. A. P70,053.07 B. P94,349.23 C. P62,875.45 D. P51,332.65 Part 3. Which of the following gives the total annual cost of the truck. A. P432,982.12 B. P512,893.42 C. P485,238.82 D. P623,672.33 9. Accumulate $50 000 for 10 years at 8% compounded quarterly. Find the compounded interest at the end of time. A. B. C. D.
$70 406 $60 402 $50 802 $40 802
