CIVL7137/8137 Geotechnical Earthquake Engineering
Mid-Term Exam
Fall 2017
Name:
Problem 1.
Problem 2.
Problem 3.
Problem 4.
Problem 5.
Problem 6.
Problem 7.
Problem 8.
Problem 9.
Problem 10.
Total
(5 points)
(5 points)
(5 points)
(5 points)
(5 points)
(10 points)
(15 points)
(15 points)
(25 points)
(25 points)
1.
Explain the differences between “scenario” and “probabilistic” seismic hazard.
2.
What is the difference between “Poisson” model and “time dependent” model?
USGS hazard maps are based on which model?
3.
What is difference between Aleatory and Epistemic uncertainty?
4.
Problem 6.2 of text.
5.
What is a characteristic earthquake?
6.
Using the attenuation relationship of Pezeshk, et al. (2011), determine the probability
that a Mw = 7 earthquake in mid-continental eastern North America would produce a
peak acceleration greater than 0.25g at a point located 50 km from the closes point of
rupture.
7. Determine the response spectrum intensity (SI) use 5% damping and Arias intensities
of the Loma Prieta ground motions provided. I just want your results along with your
Mathcad (Matlab) code for calculations of these two parameters.
8. The seismicity of Memphis area is described by
log lm = 4.0 - 0.7 M
a.
b.
c.
What is the probability that exactly one earthquake of magnitude greater
than 7.0 will occur in a 10-year period? In a 50-year period? In a 250-year
period?
What is the probability that at least one earthquake of magnitude greater
than 7.0 will occur in a 10-year period? In a 50-year period? In a 250-year
period?
Determine the earthquake magnitude that would have a 10% probability of
being exceeded at least once in a 50-year period?
9.
The geometry of a seismic source near a site of interest is such that the source-site
distance is disturbed as indicated by the simple histogram below. The source is
expected to produce an earthquake of magnitude 4 or more every 5 years, on
average, and the magnitudes are expected to be distributed as indicated in the
simple histogram below. Assuming that earthquakes of magnitude 5, 6, 7, or 8 can
occur at a distance of 10, 20, 30, 40, or 50 km, and using the simple attenuation
relations of Campbell (1981), given for distances of greater than 50 km,
a) Develop and plot a seismic hazard curve for peak acceleration at the site
of seismic source. Plot the seismic hazard curve.
b) Determine the probability that an acceleration of 0.20g will be exceeded at
least once in 200-year period.
c) Determine the peak acceleration that has a 10% probability of being
exceeded at least once in a 100-year period.
10.
Generate artificial earthquake for site in Memphis, Tennessee using the following:
Moment Magnitude:
Epicentral Distance:
Qualify factor:
Stress Drop:
Focal Depth:
Kappa, k:
High Cut Frequency, fm:
Duration:
Window Shape:
6.8
50 km
Q = 685 f 0.36
400 bars
10 km
0.006
100
1/fc + 0.05R
Exponential
(a) Use your Mathcad file go through problems 3.1 through 3.5 of your text using the
generated earthquake above
(b) Plot the response spectra of the generated earthquake using your Mathcad (or
Matlab) file and the generated response spectrum from Boore’s program on the
same graph.