Example 3.8
A rigid circular concrete foundation supporting a machine is 4m in diameter
(Figure 3.23). The total weight of the machine and foundation is 700 kN. The machine
imparts a vertical vibration of 25 sin 20tkN on the footing. If the foundation soil is
dense sand having the following properties: unit weight ¼ 17kN/m3 and elastic modulus
¼ 55MPa. Determine (1) the resonant frequency, (2) the amplitude of the vibration
at the resonant frequency, and (3) the amplitude of the vibration at the operating
frequency.