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INTRODUCTION TO EARTHQUAKE ENGINEERING SPRING 2010 LECTURE SET 03

INTRODUCTION TO EARTHQUAKE ENGINEERING SPRING 2010 LECTURE SET 03. Response Spectrum (Davranış spektrası, tepki spektrası). 1999 gölcük (YPT). f s = k x and w 2 = k / m  k = w 2 m  f s = w 2 m x Then, f s / m = w 2 x  x ´´ = w 2 x.

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INTRODUCTION TO EARTHQUAKE ENGINEERING SPRING 2010 LECTURE SET 03

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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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