The steam pipe of Figure P10.36 is suspended from the ceiling in an industrial plant. A heavy machine with a rotating unbalance is placed on the floor above the machine causing vibrations of the ceiling. If the frequency of the oscillations is \(150 \mathrm{~Hz}\) and the amplitude of displacement of the pipe's left support is \(0.5 \mathrm{~mm}\) and the amplitude of displacement of the pipe's right support is \(0.8 \mathrm{~mm}\), determine the maximum deflection of the center of the pipe. The pipe is modeld as a simply supported beam of length \(5 \mathrm{~m}\) and has the cross section shown in Figure P10.36.

Transcribed Image Text:

X = 0.5 mm 44 E 210 x 109 N/m p=7500 kg/m 5 m X, 0.8 mm 0.5 sin at mm w-150 Hz 0.8 sin cot mm FIGURE P10.36 r = 10 cm t = 1 cm