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A rectangular concrete channel 10 m wide has a bed slope of 1 m/km and surface roughness equivalent to a Manning n of 0.02. It is proposed to use a hump on the channel bed for the purpose of flow measurement. If the maximum discharge is 150 m3/s:
(a) determine the minimum height of the hump (?x) to produce critical flow over the hump, and
(b) if the actual height of the hump is 0.5 m calculate the depth of flow immediately upstream of the hump.
An automobile having a mass of 900 kg initially moves along a level highway at 100 km/hr relative to the highway. It then climbs a hill whose crest is 50m above the level highway and parks at a rest area located there.
Simplify the shape of the base and the 4 legs and estimate the minimum number of tugs needed to tow the structure at the required speed. The most powerful tugs can produce a thrust of approximately 2000kN,i.e.200tons.
A water sample has bucarbonate concentration of 220 mg/l ( HCO3- )and the PH of the water is 7.9 > Express the approximate alkalinity of this water as mg/l of CaCO3
A rectangular tube has an outside dimensions that are 2in wide and 4in deep and a wall thickness of 0.25in. The tube is acted on by a bending moment of 12,000lb-in. A.)Determine the maximum tensile and compressive bending stresses.
A train which is traveling at 80 mph applies its brakes as it reaches point A and slows down with a constant deceleration. Its decreased velocity is observed to be 60 mph as it passes a point 1/2 miles beyonds A.
If the slotted arm OA rotates counterclockwise with a constant angular velocity of thetadot= 2.0 , determine the magnitude of the velocity of peg P when theta= 58. Determine the magnitude of the acceleration of peg P when theta= 58.
A circular hatch, 2-m in diameter has its top 10-feet under water ( fresh water s.g. = 1.0), and is hinged on the bottom, and held closed on the top with a single bolt. Perform a moment balance about the hinge
Nitrate concentrations are often recorded in units of NO3--N/L to be compared with other nitrogen constituents. Near three rural wells nitrate concentrations were reported as 0.25 mg
A water main springs a leak and the geyser is estimated to be 20 feet in height. It is also estimated that about 300 gallons per minute is leaking based on flow into gutter. About how big is the hole in the water pipe
Samples of a dry sand are to be tasted in a direct shear test and a triaxial test. In the triaxial test, the sample fails when the major and minor principal stresses are 140 psi and 40 psi, respectively.
An alloy has a yield strength of 41 ksi, a tensile strength of 57 ksi, and an elastic modulus of 16 X 10^6 psi. A cylindrical specimen of this alloy 0.5 in in diameter and 10 in long is stressed in tension and found to elongate 0.3 in.
At a point in a material, a resultant stress of 151 MN/m^2 acts in a direction making angles of 52 deg, 79 deg, and 40.13 deg with the coordinate axes, x,y and z respectively
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