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1.Two steel rods with fixed supports at A and C are attached by a rigid flange at point B and a downward load of 120 kN is applied to the flange. The upper rod has a cross section of 800 mm^2 and the lower rod has a cross section fo 1,600 mm^2. If the modulus of elasticity is 200 GPa determine the normal stress in each rod. Show all work.
2.The bent road has an E=200 GPa, G=75 GPa, and a radius of 30 mm. Use Castigliano's theorem and determine the vertical deflection at C. Include the effects of bending, shear, and torsional strain energy.
3.Compute departures, latitudes, linear misclosure, and relative precision for the traverse: azimuth AB is fixed at 74degrees31'17''. A=105deg13'14" B=92deg36'06" C=67deg15'22" D=217deg24'30" E=57deg30'38"(line BC bears NW). The lengths of the sides (in feet) are as follows:
AB=2157.34;BC=1722.58;CD=1318.1
Crude oil flows through a level section of the Alaskan pipeline at a rate of 1.6 million barrels per day (1 barrels=42 US gallons) the pipe inside diameter is 48 inch and its roughness is equivalent to galvanized iron.
We have a situation where hydrogen gas at 300 degrees C is flowing out of a tube at the rate of 100 mL/min. The tube is located in a fume hood operating at 25 degrees C and 1 atm.
A 9,000-lb single wheel load is placed on a PCC slab that is 9.5 in. thick. The concrete has a modulus of elasticity of 5 million psi with a Poisson’s ratio of 0.15. The modulus of subgrade reaction is 225 pci. Tire pressure is 90 psi.
In an oedometer test, the void ratio of a clay sample changed from 1.62 to 1.41 as the vertical effective stress imposed on the sample was increased from 100 kPa to 200 kPa. Later on, the vertical effective stress on the sample was decreased
A streamlined, high-speed train travels at 200 km/hr. The flow over the train is similar to flow over a flat plate. Estimate the boundary layer thickness at the end of the train, which is 125 m long. The temperature is 10°C.
From the results of an oedometer test on an undisturbed sample of clay taken at a depth of 10 m from the ground surface, the maximum vertical preconsolidation pressure (s’vmax or s’c) was found to be 560 kPa. The clay layer has a saturated unit weigh..
An oedometer test on a clay soil gave the following results: Cc = 0.4, Ce = 0.08, OCR = 5. The thickness of the clay layer in the field is 2.6 m. The existing vertical effective stress at the mid-depth of the clay layer is 150 kPa. This vertical effe..
Water flows steadly in an open topped channel of rectangular cross section. The channel width is B and the depth of the water is D. The flow is designed using a rectangular coordinate system whose orgin is at the free surface midway
Consider a cylindrical nickel wire 2.0 mm in diameter and 3 x 10^4 mm long. Calculate its elongation when a load of 300 N is applied. Assume that the deformation is totally elastic.
Calculate the super-elevation required for a horizontal curve on a two-lane, two- way highway with 60 mph design speed, and a 1200 ft. radius curve. What is the required length of the spiral curve
Consider the components that are required for an automobile. List 5 components and identify the class of material that is used for each component. What are the critical properties that allow for the function of the material in that application
(a) What are some of the properties that make aluminum an extremely useful engineering material (b) How is aluminum oxide extracted from bauxite ores (c) How is aluminum extracted from pure aluminum oxide
The x-component of a velocity field is ax+b.If the flow is steady, two-dimentional and incompressible; generate an expression for velocity component in the y-direction as a function of x and y.
How much energy do methanogenic bacteria get from using glucose and hydrogen (H2) to form methane and water as the products. Determine the net reaction (assume methane and water are the only products).
An aggregate blend is composed of 53% coarse aggregate by weight (sp. gr. 2.702), 43% fine aggregate (sp. gr. 2.621), and 4% filler (sp. gr. 2.779)/ The compacted specimen contains 6% asphalt binder (sp. gr. 1.052) by weight of total mix, and has a b..
A sample of natural glacial till was taken from below the groundwater table. The water content was found to be 52%. Estimate the wet density, dry density, buoyant density, porosity and void ratio. Clearly state any necessary assumptions.
One method used to store energy during times of low demand is by pumping water uphill into a reservoir. When energy demand exceeds the output produced by power plants, the water is released, moves downhill, and is converted into electricity by a t..
The uniform steel shaft has two gears attached to it at B and C, two frictionless bearings, and the motor. The motor generates 15kip·in and the gears consume 10kip·in and 5kip·in. Find the diameter of the shaft if the maximum rotation between A an..
If the detention storage on the paved section is increasing at the rate of 60 m3/hr, what is the runoff rate into the inlet grate?
A 1045 steel will be heat treated in air at 900 C. What is the carbon concentration at 0.4 mm below the surface after 6 hours
The difference between the total and static pressure before a shock is 75 psi. What is the maximum static pressure that can exist at this point ahead of the shock? The gas is oxygen.
A 1.50 L buffer solution is 0.250 M in HF and 0.250 M in NaF. Calculate the pH of the solution after the addition of 0.0500 moles of solid NaOH. Assume no volume change upon the addition of base. The Ka for HF is 3.5 x 10-4.
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