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A trench is proposed for utilities along a very long slope that consists of two soils. The top soil is a fissured saturated clay (γsat = 20 kN/m3, ∅'cs = 25°, (su)cs 5 20 kPa) and the soil below it is a thick, heavily over consolidated, stiff saturated clay with (su)p 5 80 kPa (Figure P10.24). The groundwater level is 8 m below the ground surface. One of the potential failure mechanisms consists of the top clay sliding as a rigid block at the interface. Consider a 1-m length of slope. Calculate the factor of safety (failure shear stress/shear stress imposed) of the slope for (a) short-term and (b) long-term conditions. Assume that the friction angle at the interface of the two soils is 25°.
A classic car is d riving down an incline at 60 km / h when its brakes are applied. Treating the car as a particle, neglecting all forces except gravity and friction, and assuming that the tires slip
Heat is transferred to the water such that the temperature in the tank remains constant. Determine the amount of heat that must be transferred by the time one half of the total mass has been withdrawn.
determine the dilatation and change in volume of the 200mm length of the rod if A) the rod is made of steel E=200 Gpa v=.30 B)the rod is made of aluminum E=70 Gpa v=.35.
A froth flotation process is used to concentrate copper ore. It is a two stage process with a rougher stage followed by a cleaner stage. The cleaner tailings are returned to the rougher flotation.
The water temperature is 14 C and the mean pore diameter is 0.33 mm. Is it permissible to use Darcy’s law under these circumstances? What is the reason for your answer?
If the design speed of a multi-lane highway is 60 mph, what is the minimum sight distance that should be provided on the road if (a) the road is horizontal and (b) the road has a maximum grade of 5 percent? Assume the perception-reaction time = 2.5 s..
A maximum flow rate of 6 CFS is available for a river model. This corresponds to 30,000 CFS for the prototype. What is the scale of the model in terms of the prototype size?
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
When the air temperature is 25°C, the pressure gage reads 210 kPa. If the volume of the tire is 0.025 m3, determine the pressure rise in the tire when the air temperature in the tire rises to 50°C.
A 1kg ball is dropped from the top of a cliff and falls with a constant acceleration due to gravity. Assume that effects of air resistance can be ignored.
An insurance sales representative sells policies to 5 men, all of identical age and in good health. According to the actuarial tables, the probability that a man of this particular age will be alive 30 years hence is 2/3. Find the probability that in..
The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. If the connector is ever wet, the probability of a failure during the warranty period is 5%.
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