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University at Buffalo  –   The State University of New York CIE 534: Earthquake Engineering & Foundation Dynamics Assignment # 3 Dynamic Soil Properties SUBMITTED TO: Anthony Tessari, Ph.D. SUBMITTED BY: Qureshi, Ramla Karim  November 4, 2014 * Pictures cited from: Geotechnical Earthquake Engineering - Steven L. Kramer  Problem 6.2 Data: Assuming 2msec delay in p-wave arrival, the time of impact can be taken as =        Arrival time of SV-wave for R1 =      Arrival time of SV-wave for R2 =      Distance from Source to R1 =   Distance from Source to R2 = 10    Solution: We know that SV-wave velocity can be determined as:      →          →         Average SV-wave velocity of soil between the geophones            Problem 6.3 Solution: From the definition of Half-Power Bandwidth Method: Let     = max. amplitude of accelerometer output = Fundamental frequency of specimen = 41 Hz Let     and     be the frequencies on either side of the resonant frequency at which the amplitude of the output is √   times the resonant amplitude (Chopra) →        →                  →      -100-80-60-40-20020406080100-0.3-0.2-0.100.10.20.3    D   e   v   i   a   t   o   r   S   t   r   e   s   s Axial Strain (%) Stress- Strain loop deviator stress Problem 6.4 Consider the following time histories of deviator stress and axial strain from Kramer P6.4: The following stress strain loop can be formulated using the points marked: Point deviator stress (kPa) axial strain % A 40 0 B 75 0.2 C -40 -0.05 D -75 -0.2 E 50 0.1 F 75 0.2

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