Q1(35 Marks): Part of the cooling system in a generating station consists of a steel pipe 80 mm in outer diameter, 5 mm thick, and 4 m long. The pipe may be assumed to be built in at each end so that the static deflection y at a distance x from one end of the pipe of length l is given by y(x) = frac{mg}{24EI}x^2(l - x)^2 where m is the mass per unit length. Use Rayleigh method to estimate the lowest natural frequency of transverse vibration of the pipe when full of liquid having a density of 930 kg/m3. Take the density of steel as 7750 kg/m3 and E as 200 GN/m2.
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Use the Rayleigh Method to estimate the lowest natural frequency of transverse vibration of the pipe when full of liquid having a density of 930 kg/m3. Show more…
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