6-13. A 50-year annual series of peak river discharges with a mean of 2000 m/s and standard deviation of 500 m'/s is normally distributed. (1) What is the discharge with a recur- rence interval of 50 years? (2) What is the discharge with a recurrence interval of 100 years? (3) Determine the probability that the 100-year discharge will occur in the next 50 years. (4) Determine the probability that the discharge will equal or exceed 3000
6-13. A 50-year annual series of peak river discharges with a mean of 2000 m/s and standard deviation of 500 m'/s is normally distributed. (1) What is the discharge with a recur- rence interval of 50 years? (2) What is the discharge with a recurrence interval of 100 years? (3) Determine the probability that the 100-year discharge will occur in the next 50 years. (4) Determine the probability that the discharge will equal or exceed 3000
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Problem 5-13
Transcribed Image Text:standard deviation equal to 7500 cfs approximates a normal distribution. (1) Determine
the discharge with a return period of 10 years. (2) Determine the discharge with a return
period of 20 years. (3) What is the return period that corresponds to a discharge of
20.000 cfs? (4) What is the probability that a discharge equal to or greater than 20,000
cfs will occur during a 5-year period?
6-12. Repeat Prob. 5-11 if the annual series data fit the extreme value theory.
5-13. A 50-year annual series of peak river discharges with a mean of 2000 m/s and standard
deviation of 500 m’/s is normally distributed. (1) What is the discharge with a recur-
rence interval of 50 years? (2) What is the discharge with a recurrence interval of 100
years? (3) Determine the probability that the 100-year discharge will occur in the next
years. (4) Determine the probability that the discharge will equal or exceed 3000
'/s during a 10-year period.
50
m
5-14. Repeat Prob. 5–13 using the extreme value distribution.
5-15. A 50-year annual series of peak discharges is described by the log-normal distribution.
The geometric mean of the series is 60,000 cfs and the standard deviation of the log of
the discharges is 0.43. (1) Determine the discharge with a recurrence interval of 25
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