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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 t' = 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.
two uniform rectangular plates weighing 800 llb ar freely hinged about their commonn edge and suspended by central cable ad for symmetrical corner cables. calcuate tension T in each of the corner cables and the tension To in the center
A Carnot heat engine is supplied with a high temperature heat source at a rate of 200 kW. If the power output of the heat engine is 120 kW, determine the required source temperature if the heat sink temperature is 20 °C.
A proposed earthen dam will contain 5,000,000 cubic meters of earth. Soil to be taken from a borrow pit will be compacted to a void ratio of 0.78. The void ratio of soil in the borrow pit is 1.12. Estimate the volume of soil (cubic meters) that mu..
A 1 m diameter unfinished concrete pipe (n = 0.015) has a slope of So = 0.001 and conveys water at Q = 0.5 m3/s. Find the normal depth yo and critical depth yc.
Air can be assumed as a di-atomic ideal gas. Find the final temperature and the amount of work ( in kW) required for air compression at a rate of 100 mol/s , from an initial condition of 1 bar an 25 C to 10 bar; for the following ways.
Calculate the stress at failure of a concrete test cylinder with a measured diameter of 152.4 mm and a recorded load of 371,426N. Units of ksi.
Cities cover approximately 0.5% of the Earth's land area, which itself constitutes 29% of the total surface of the planet. What is the probability that the second explosion in part (b) occurs over a city? Assume an equally likely probability of im..
The coefficient of rolling resistance can be taken to be a constant for all speeds, equal to 0.008. If the cyclist is coasting down a 6% grade, what is the maximum speed attained
One of the wells pumps at a rate of 1240 m3/ day and the second well pumps at 850 m3/ day. If the aquifer has a transmissivity of 2000 m2/ day and a storage coefficient of 4 x 10^-4, when would the wells start interfering with each other
A divided multilane highway in a recreational area (fp = 0.90) has four lanes (two lanes in each direction) and is on rolling terrain. The highway has 10-ft lanes with a 6-ft right-side shoulder and a 3-fl left-side shoulder.
A quartzite sample in a compression testing machine is 180mm long and 54mm in diameter. what is the stress under a load of 100kN? if the modulus of elasticity is 102kN/mm2, find the strain develope in the sample.
A column has a mean capacity of 950 kip. The standard deviation for the column capacity is 50 kip. The average load is 700 kip with a standard deviation of 75 kip. What is the probability of failure, pf
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