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A steady-state, incompressible two-dimensional velocity field (u,v) is given by the following components in the xy-plane
u = 0.2 + 1.3x + 0.85yv = -0.5 + 0.95x - 1.3y
(a) Sketch the velocity field in the xy-plane between -5 < x < 5 and -5 < y < 5.(b) Calculate the acceleration field (find expressions for the substantial time derivative components Du/Dt and Dv/Dt).(c) Calculate the acceleration at the point (x,y) = (1,2).
Design a simply supported one-way reinforced concrete floor slab to span 10 ft and carry a service live load of 175 psf and a service dead load of 25 psf. Use fc' = 3000 psi and fy = 60,000 psi.
An open rectangular tank contains water up to about half its depth. this tank accerlerates at a=2.2m/s2 up a slope of alpha, which causes the free water surface to form an angle theta with the horizontal plane. what is angle aplha of the slope
Given: elastic modulus of steel is 200 GPa, yield and ultimate tensile strength of steel are 600 and 750 MPa, respectively.
A soil sample is prepared in the laboratory by mixing a certain amount of dry soil with 10.5 wt% water. The relative density of the grains of the material is equal to 2.7.
Write a computer program that can be used to determine the internal shear and moment at any specified location x along the beam, and plot the shear and moment diagrams for the beam.
Show that the drinking water standard of 10 mg/L nitrate as nitrogen is equivalent to 45 mg/L nitrate. How is nitrate related to TN and TKN?
A frictionless piston-cylinder contains 2kg of nitrogen at 100 kPa absolute and 300 deg K. The system is compressed polyprotically at a 1.4 exponent (n) until the nitrogen reaches a final temperature of 360 deg K.
Would a 30 slot stainless steel screen (2.0 m long; located at the bottom of the well) have sufficient collapse strength for this application?
What power must the pump supply to the system to pump the oil from the lower reservoir to the upper reservoir at a rate 0.20 m^3/s. Sketch the HGL and the EGL for the system.
A rigid rectangular shelf is suspended from a rigid ceiling by mean of four rods of diameter .505 inches. The two rods to the left L1 and L2, are made of steel. The two rods to the right R1 and R2 are made of aluminum.
rom a photograph one observes that on a level section of highway 10% of the vehicles are trucks, 90% are cars, and that there are 50 vehicles per mile of highway. The trucks travel at 40 mph, and the cars at 50 mph.
A cylinder with a moveable piston holds .20 lb of hydrogen initially in a volume of 1 cu ft at a tem-perature of 1300 F. Then the volume is expanded to 2.5 cu ft while the gas pressure remains constant.
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