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A footing 3m X 3m carries a pressure of 500 kN/ m2 at a depth of 1m in a sand substrate. The saturated unit weight of the sand is 20 kN/ m3 and the unit weight above the water table is 18 kN/ m3. The design shear strength parameters are c’ = 0 and ?’ = 40°. Determine the factor of safety with respect to shear failure for the following cases:
(a) the water table is 5m below ground level,
(b) the water table is 1m below ground level,
(c) the water table is at ground level and there is seepage vertically upwards under a hydraulic gradient of 0.2.
Lines of levels were run requiring (n) instrument setups. If the road reading for each backsight and foresight has a standard deviation of +-0.005 ft what is the standard deviation for n=40
Calculate the total head loss for water (25°C) flowing at 100 m3/hr as shown in the following figure. The total flow length is 250 meters and the pipe is 15-cm diameter cast iron pipe
Suppose that F1 ο G2 =F1ο G1 then F : S→ T, G1 : T → U, G2 :T →U,. Define a function F : R2 ? R2 by F(x, y) = (x +y, x - y). . Show that if F is onto, Suppose that G1ο F = G2 ο F.
In a falling-head permeability test the initial head of 1.00 m dropped to 0.35 m in 3 h, the diameter of the standpipe being 5 mm. The soil specimen was 200 mm long by 100 mm in diameter.
find a chlorine demand occurring in your drinking water distribution system (series of pipes that carry drinking water throughout a city), yet there is no increased chlorine demand in the water going through the treatment plant
A 4 in. in diameter shaft moves through a well-oiled sleeve that is 12 in. long. The force required to move the shaft is 25 lbf, and the shaft velocity is 5 in./s.
A jet aircraft is flying in a standard atmosphere at an altitude of 4,000 m at 900 km/hr. The frontal intake area of the jet engine is 0.80 m2. The engine exhaust area is 0.56 m2. The temperature of the exhaust gas is 120°C.
Calculate the critical volume then estimate the green time interval for each phase of the intersection using the data provided below. Assume that the intersection will operate as a simple two phase cycle with a 90 second cycle length.
Water flows on the inside of a steel pipe with an inner diameter of 2.5cm. The wall thickness is 2mm, and the convection coefficient on the inside is 500 W/m2oC. The convection coefficient on the outside is 12 W/m2oC.
The backfill soil's unit weight and angle of internal friction are 17.2 kN/cubic meter and 31 degrees respectively and the angle of wall friction friction between backfill and wall is 20 degrees. Find the total active earth pressure against the wa..
A 2L full bottle of benzene is left open (with a known density of 0.9 g/mL) in a small room (50m^3) and left over night. When a grad student comes in to open the lab she smells a powerful oder and notices that the bottle of benzene is now empty.
A mass of 200g of saturated liquid water is completely vaporized at a constant pressure of 100KPa. Determine a) the volume change b) the amount of energy added to the water
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