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1.A brass cube (E=100 GPa, v = 0.25(Poisson's ratio)) is 100 mm long per side. A compressive force of 100kN is applied to one side, while a tension force of 200 kN is applied to a second side. What is the change in length in the unloaded direction?
2.Calculate the area of a circular tract of land which has a radius of 30 meters using the mathematical formula, Trapezoidal Rule, and Simpson’s Rule. Compare your results. Use an offset of 5 meters.
a solid cylinder of 50 mm diameter and 900 mm length is subjected to a tensile force of 120kN. One part f the cylinder L1 long is of steel, the other part, fastened to steel, is aluminum and is L2 long.
The microstructure of an iron-carbon alloy consistsof proeutectoid ferrite and pearlite; the mass fractions of thesetwo microconstituents are 0.174 and 0.826, respectively. Determinethe concentration of carbon in this alloy.
Classify the following soils using the given grain size distribution (ASTM system) and Atterberg Limits data:
Water at 120 celcius with a quality of 25 % has its temperature raised 20 celcius in a constant volume process. What is the new quality and pressure? Draw P-v and T-s diagrams.
The container is vented to the local atmosphere. What is the absolute pressure at the surface of the mercury and at the bottom of the container. Assume the conditions of the standards atmosphere prevail for pressure. Use sg = 13.54 for the mercury..
Calculate the required area of an air to air heat exchange to cool 20,000 cfm from 1200 F to 400 F. Assume ambient air at 80 F will be heated to 800 F by the exchange.
A home builder must construct a sewage treatment plant and deposit sufficient money in a perpetual trust fund to pay the $5000 per year operating cost and to replace the treatment plant every 40 years.
The elastic ball bounces down a flight of rigid stairs. Determine the height h of the steps if all the trajectories between successive steps are identical. Use e = 0.85 and the initial velocity 6 m/s.neglect friction. (Theta=70 degrees)
A pump for a wastewater treatment plant has a motor with a nameplate rating of 20 HP. When the pump operates the measured power draw is equivalent to 15 HP. The pump operates 80% of the time.
From 5 statisticians and 6 economists, a committee consisting of 3 statisticians and 2 economists is to be formed. How many different committees can be formed if:
At what point on the expressway should the motorist step on her brakes in order to reduce her speed to the maximum allowable on the ramp just before entering the ramp
To float a 160 pound man using helium balloons (assume 0.52 cubic feet per inflated balloon). How many balloons would it take? Assume density of air is 1.29 kg/cubic meter and the density of helium is 0.179 kg/cubic meter.
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