Optimization problem: An open top container of length L, width W and height H is used to transport ore. The cost for the surface area is $ 100/m2; cost of weld is $ 10/m; 400 m³ of ore is to be transported in no more than 50 trips; the length is not to exceed 3 m and width not to exceed 2 m. Formulate the optimization problem to solve for the maximum volume of the container.
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- Question: Each of the four silos seen in the figure has an empty weight of 30MN, and can hold up to 105 MN of grain. The weight of the mat is 55 MN. Since each silo is filled independently, the resultant load imposed on the mat does not necessarily act through the centroid. Evaluate the various loading conditions and determine whether centrally loaded, one-way eccentric loaded, and two-way eccentric loading requirements will be met. If these requirements are not met, determine the minimum mat width, B, needed to satisfy these requirements. Allowable bearing capacity is given as qa=265kPa). 50m 12,5m Plan 50m 12,5m Profile Mat foundation1. A certain material having a specific gravity of 3.52 in a 250 mL beaker was found to have weigh 484 g. What is the porosity of the material? a. 0.68 b. 0.38 c. 0.45 d. 0.29 2. The width of an apron conveyer with a capacity of 75 tons/hr and speed of 50 A. 220 mm B. 370 mm C. 070 mm D. 460 mm 3. The diffusivity of water in air at 10 deg. F and 1 atm in cm2/sec is A. 0.256 B. 0.273 C. 0.404 D. 0.581Question 2: You have to transport 120 000 tons of bulk from Rio de Janeiro to Dhank (Oman) via the port of Sohar in containers. This bulk cargo has a S.G. (Specific Gravity) of 0,70. The internal measures of the container are: In feet Length Width Heigh 20ft container 19’7” 8’ 8’6” 40ft container 39’7” 8’ 9’6” The price for a 20ft container from Rio to Sohar is EURO 1400,- The price for a 40ft container from Rio to Sohar is EURO 1520,-- Max. payload for both a 20ft and 40ft container is 28 tons Post haulage between Rotterdam and Dhank (Oman) is EURO 150,-- per 20ft or 40ft container. What type of container will you choose for this concept and why? a) Volume calculation b) Maximum payload calculation c) Price per ton calculation d) Choice of container with justification
- Estimate the volume of the earth that has to be removed to make room for the 96 km, 7 m diameter, concrete-lined water tunnel. Also, investigate the capacity of typical dump trucks used in removal of earth materials. P R O B L E M CopyrightDetermine the tonnage or capacity/truck using the following parameters: Ore hauling Cycle time = 30 minutes hauling time = 18 hrs/day Production target = 30,000 tons per day Truck Capacity = 100 tonner Truck factor = 85 %In a truck and shovel operation, the time for a truck to position itself at the shovel and be loaded are 0.50 minute and 3 minutes respectively. It then takes the truck 10 minutes to haul the ore, dump it at the coarse ore bin, and return to the shovel. How many trucks do you need to keep the shovel busy with a little waiting time for the trucks?
- The steel grating 0.80 meter. x o.80 meters placed on top of the concrete catch basin is composed of a 10mm square bar spaced at 100mm on centers with an angular steel frame 20mm x 20mm x 6mm along the perimeter. Find the total requirement of the steel bar in kilograms and how much it will cost if 1.0 kilogram of steel amounts to PhP 45/kg. ? NOTE: Use density of steel = 7,860 kg per cubic meter.سؤال ثانی/ A rectangular storage tank with an open top is to have volume (20 m). The length of the base is twice the width, see the figure. The Material of the base costs (20 $) per square meter. The material of the sides costs (10 S) per square meter. Use Lagrange multiplier method to find the optimum dimensions of a tank that give the minimum cost. 2w Ans./ 1= 3.914 w = 1.957 h = 2.61For the beam shown, the magnitude of the concentrated load is P = 28 kN, the magnitude of the couple is Mg = 200 kN-m, and the beam lengths are a = 4.8 m and b= 14.4 m. (a) derive equations for the shear force V and the bending moment M for any location in the beam. Place the origin at point. A. (b) use the derived functions to plot the shear-force and bending-moment diagrams for the beam. Use your diagrams to determine the magnitudes of the maximum shear force and the maximum bending moment. Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention presented in Section 7.2 of the textbook. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number. P a MB B b C X
- 2.1) Show your calculation in determining the total required storage yard for reinforcing steel bar (A) in m' given that:- the total quantity of rebar required for the project (Q) = 1,800 tons, project duration (T) = 120 days, the average stock (t) = 7 days, fluctuation factor of usage (k) = 0.80, quantity of rebar can be stored/m (g.) = 1.40 tons/m, and • utilization index for rebar () = 0.75In calculating the time require for a haul unit to make one complete cycle, it is customary to break the cycle down into and variable components. OFixed Floating Static SteadyFor the beam shown, the magnitude of the concentrated load is P = 11 kN, the magnitude of the couple is MB = 190 kN-m, and the beam lengths are a = 4.9 m and b= 14.7 m. (a) derive equations for the shear force V and the bending moment M for any location in the beam. Place the origin at point. A. (b) use the derived functions to plot the shear-force and bending-moment diagrams for the beam. Use your diagrams to determine the magnitudes of the maximum shear force and the maximum bending moment. Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention presented in Section 7.2 of the textbook. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number. A MB B b C X