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A construction company requires to know how much of additives A and B to use to prepare concrete to be used in a freezing environment (northern location). The concrete mix should contain a minimum concentration of nitrate and sulphate. Additives A and B contribute to yielding the following concentration of nitrate and sulphate. Chemical Contribution Cost Additive type Nitrate Sulphate A 2 4 $6 B 4 3 $3 The concrete requires at least 16% of nitrate and 24% of sulphate. Any excess in either component is beneficial but not required.
Formulate a linear programming optimization model. Solve it using the graphical method combined with some linear algebra calculations if required. What if the price of A drops to $4, is the previous solution still valid?
Determine the deflection of a simple uniformly loaded beam by the Ritz method,using first one term, then two terms, adn finally three terms in a sine series. Why does the coefficient of sin2piex/L vanish?
A gas containing 80% CH4 and 20% (by mole) He is sent through a quartz diffusion tube to recover the He. 20% by weight of the original gas is recovered and its composition is 50% He.
The frame is supported in part by normal and friction forces between the wall and the plate at A. Determine the friction force exerted on the plate at A. Also determine the minimum required coefficient of friction at A for the frame to remain in e..
The aluminum end and the copper end are maintained at temperatures of 50°C and 260°C, respectively. The thermal conductivities of aluminum and copper are 205 and 385 W/m · K, respectively. The temperature of the aluminum-copper junction in the rod..
Write the mass balance equation for a completely mixed lake with an impulse input of mass,M, added at time t=0. Assume the lake is of constant volume, V, with continuous outflow, Q, and a conservative substance.
Assume that there were 1,100,000 vehicles making a 28.5-mi round trip per day, the average vehicle emission rate for VOCs is 1.3 g/VM , and the molecular weight of the VOC emissions from the mobile sources can still be represented by that of metha..
water flows at a velocity of 25 ft/s at a depth in a rectangular channel 16 feet wide. Determine the downstream depth necessary to form a hydraulic jump, the head loss through the jump and the horsepower dissipated in the jump.
above a peninsula of land. the length of the box is 25 km, its width is 80 km, and a radiation inversion restricts mixing to 25 m. Wind is blowing clean air into the long dimention of the box at 0.8 m/s.
A multinational engineering consulting firm that wants to provide resort accommodations to certain clients is considering the purchase of a three-bedroom lodge in upper Montana that will cost $250,000.
1. A block of moist soil weighs 12.72 lbs, is 0.1050 ft3 in volume, has a water content of 9.5%, and has a specific gravity of soil solids of 2.7. Assess: Va, Vw, Vs, S, e, gama d. 2. The moist unit weight of a soil is 18.7 kN/m3 Given that Gs=2.71..
develop the relation between bulk unit weight, specific gravity, void ratio and weight of water.
For a metal and wood structure, how would the economies of construction be obtained (pertaining to the mean and standard deviation of a probability of failure graph)?
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