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Calculate the natural frequencies of a clamped-clamped beam for the physical parameters l = 1 m, E = 2 x 1011 N/m2 , ρ = 7800 K/>m3 , I = 10-6 m4 , and A = 10-2 m2 , using the beam theory of Chapter 6 and a four-element finite element model of the beam.
The velocity profile for a fully developed laminar flow in a circular tube can be described using u = umax [1 – (r/R)2]. Obtain an expression for the shear force per unit volume in the x direction for this flow.
an inverted cone is placed in a water tank. if the weight of the cone is 16.5 n what is the tensile force in the cord
A closed system contains 0.5 kg of nitrogen, initially at 150 KPa with a volume of 0.3 m^3. The system undergoes a poly tropic process resulting in the final state of 240 KPa and 100 C. Determine a) the poly tropic coefficient and b) the associated b..
A pump is employed to deliver liquid water from a pond to a higher elevation. The pump steadily draws water from the pond at a volumetric flow rate of 192 gal/min through a pipe having a 7 in diameter inlet. The exit diameter of the pipe is 2 in. and..
Water as a saturated vapor at 600 °F is contained in a piston-cylinder device that has an initial volume of 30 ft3. The device undergoes a constant temperature process, until the water reaches the saturated liquid condition. Draw and label the state..
consider air in a piston-cylinder assembly. initially the air is at p1 2bars and t1 600k . the air is compressed
in an annealing process a stainless steel plate 50 mm thick will be heated to at least 600degc from an initial
A small, narrow, flat-bottomed fishing boat is loaded down with two crew member and a catch fish. The rear of the boat is a plane inclined at an angle theta¸ of 75 degrees with the horizontal. Thirty centimetres below the water surface is a hole in t..
a stream of humid air containing 1.00 mole water vapor and the balance dry air is to be humidified to a water content
The following stress state exists around a wellbore drilled in the Atlantic Ocean: sigma x = sigma y = 80 bar sigma zz = 100 bar tau xy = tau xz = tau yz = 0 Pw = 80 bar. Derive the general Kirsch equation (Aaddnoy version)
Calculate the maximum stress at full pressure that could drive the growth of a crack. State, with justification, whether or not the service condition represents a high load on the structure
Show that if x[n] is a right-sided sequence and X(z) converges for some value of z, then the ROC of X(z) is of the form lzl > rmax or 00 > IZI > r max where rmax is the maximum magnitude of any of the poles of X(z).
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