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Understanding Earthquake Response Spectrum: Lecture Notes from Spring 2010

This lecture set introduces concepts in earthquake engineering, focusing on response spectra. It covers the relationship between ground motion and structural response, emphasizing equations that describe maximum response in various frequency ranges. The lecture illustrates how to calculate internal forces and stresses during seismic events, using examples such as a water tank subjected to the El Centro earthquake. Key relationships, including ground acceleration and displacement, are also explored, providing essential insights for engineers in designing earthquake-resistant structures.

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Understanding Earthquake Response Spectrum: Lecture Notes from Spring 2010

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  1. INTRODUCTION TO EARTHQUAKE ENGINEERING SPRING 2010 LECTURE SET 03

  2. Response Spectrum (Davranış spektrası, tepki spektrası) 1999 gölcük (YPT)

  3. fs = k x and w2 = k / m  k = w2 m  fs = w2 m x Then, fs / m = w2 x  x´´ = w2 x Thus we can write the following equations, Sv = w Sd Sa =w2 Sd Sv = Sa / w We can rewrite the 1.st and the 3.rd equation, log Sv = log w + log Sd log Sv = log Sa – log w

  4. Düzce, 1999

  5. Inspection of this figure shows that the maximum response at short period (high frequency stiff structure) is controlled by the ground acceleration, low frequency (long period) by ground displacement, and intermediate period by ground velocity.

  6. EXAMPLE A water tank is subjected to the El Centro earthquake. Calculate the maximum bending moment during the earthquake. Spectrum  When the equivalent static force has been determined, the internal forces and stresses can be determined using statics.

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