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Basics of Earthquakes Frequency

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1 Basics of Earthquakes Frequency
Pendulum: Swings at a frequency of one vibration per second = 1 Hz = Period of 1 sec

2 Basics of Earthquakes [ C D E F G A B ]
Frequency [ C D E F G A B ] Piano - Note C = 128 times per Sec = 128 Hz

3 Basics of Earthquakes Frequency
10-story building - Pull the top to one side and release it = ??

4 Basics of Earthquakes Resonance is when motion at a given frequency is amplified by waves of that same frequency

5 Basics of Earthquakes Single degree of freedom (SDoF) oscillator
Natural Frequency, fn, Where, fn = Natural Frequency (Hertz ) or (No. of Cycles/Second) k = Element Stiffness (N/m) m = Element Mass (kg) Radian frequency, ωn = 2 π fn

6 Strong Ground motion Accelerations between 0.001 and 2 g
Frequencies between 0 to 100 Hz.

7 Basics of Earthquakes f(t) = ma + kt + cu f(t) = cu + ků + mϋ
Branch of Structural Dynamics Simplified SDOF ‘equation of motion’ f(t) = ma + kt + cu Or’ f(t) = cu + ků + mϋ ů = du / dt ϋ = dů/dt F = Shear Force m = Mass k = Stiffness c = damping coefficient a = acceleration T = time period u = displacement

8 Analysis Depends on ‘type of building’ and ‘extent of needs’ Types
Static Dynamic Names such as Equivalent load / Linear Static Time history / Linear Dynamic Response spectrum / Pushover / Non Linear Static

9 Basics of Earthquake resistant Construction
Look to Ensure Proper Design Architectural Structure Construction quality Coordination between agencies, and clarity of roles Intelligent solutions such as Base Isolation Flotation


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