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  • 23. % . Figure 1: Free vibration response of a building: the back-and-forth motion is periodic. Roof Displacement Inverted Pendulum Model Time T T T T 0 (a) Building pulled with a rope tied at its roof (b) Oscillation of building on cutting the rope Figure 2: Fundamental natural periods of structures differ over a large range. The natural period values are only indicative; depending on actual properties of the structure, natural period may vary considerably. Adapted from: Newmark, (1970), Current trends in the Seismic Analysis and Design of High Rise Structures, Chapter 16, in Wiegel, (1970), Earthquake Engineering, Prentice Hall, USA. Suspension Bridge: 6 sec Large Concrete Gravity Dam: 0.8 sec Elevated Water Tank: 4 sec Reinforced Concrete Chimney: 2 sec Single Storey Building: 0.05 sec Low-rise Building: 0.4 sec 15 Storey Building: 1 sec
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  • 83. # Figure 4: Different Buildings Respond Differently to Same Ground Vibration. Figure 3: Strong Earthquake Ground Motion is transmitted by waves of different periods. Earthquake Shaking Time Tshort Short Period Wave 0 Time0 Tlong Long Period Wave Time0 Amplitude Depth of Soil (m) StructuralDamageIntensity(%) 50 100 150 200 250 300 10 20 30 40 50 0 0 10-14 Storey Buildings 3-5 Storey Buildings Adaptedfrom:SeedandIdriss,(1982),Ground MotionandSoilLiquefactionDuringEarthquakes, EERI,USA. (a) Buildings in a city lie on different soils (b) Intensity of damage depends on thickness of underlying soil layer: 1967 Caracas Earthquake