Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Civil Engineering Expert

problem 1: A cylindrical tank is used to store oil, as shown in Figure below. The weight of each tank W is 1800 kN. When subjected to an earthquake the horizontal inertial force, H, produced by the earthquake may be find outd as follows:
 
H = (W/g) a
 
Where g is the gravitational acceleration constant equal to 9.8 m/sec2 and a is the maximum horizontal acceleration of the earthquake ground motion.

1615_earthquake ground motion.jpg

During an earthquake the frictional force, F, at the base of the tank keeps it from sliding. The coefficient of friction between the tank and the base support is normally distributed variable with mean 0.5 and coefficient of variation 0.1.  
 
During an earthquake the maximum horizontal ground acceleration a is a random variable with the following probability density function:

168_probability function.jpg

Estimate the probability that the tank will slide during an earthquake using Monte Carlo simulation.

Assume the coefficient of friction and horizontal ground acceleration are statistically independent.
 
Your program must use an adaptive replicate loop to ensure that probability estimates are within ± 0.001 of the true value with 99% confidence.

problem 2:

Consider the traffic roundabout shown in the Figure below:

2458_traffic roundabout.jpg

The traffic in lane 1 may proceed straight through the roundabout or turn left, while traffic in lane 2 can only proceed through the roundabout. Traffic in lane 3 can only turn right, while traffic in lane 4 can only proceed through the roundabout.
 
When operating, the traffic light displays either a red right arrow or a green right arrow. When a red arrow is displayed, traffic in lane 3 must stop at the entry to the roundabout, while traffic in lane 4 may enter the roundabout to pass through. When a green arrow is
displayed, traffic in lane 3 may turn right and traffic in lane 4 may proceed through the roundabout. 
 
During the morning peak, the number of vehicles arriving at the intersection follows a Poisson process with the average number of arrivals being:

  • 2000 cars/hr for lanes 1 and 2 combined;
  • 700 cars/hr turning right from lane 3; and
  • 0 cars/hr for lane 5.

The dynamics for traffic negotiating the roundabout are as follows:
 
1) Red arrow operating: One car from either lane 1 or 2 can enter the roundabout every second with probability 0.8. Traffic in lane 3 is stopped.
 
2) Green arrow operating: If there are no cars queuing in lane 3, one car from either lane 1 or 2 can enter the roundabout every second with probability 0.6.
 
If there are one or more cars queuing in lane 3, one car from lane 3 can enter the roundabout every second with probability 0.9. If the car in lane 3 does not enter the roundabout there is a 0.5 probability that a car in either lane 1 or lane 2 will exploit the gap and enter the roundabout.
 
prepare a Monte Carlo program to simulate the traffic queue at the roundabout. Run the simulation for 10,000,000 seconds under peak hour conditions using a one-second computational interval.
 
The roundabout is considered to be operating satisfactorily if the chance of a queue exceeding 20 cars in lanes 1 and 2 combined or in lane 3 is less than or equal to 10%.
 
Answer the following problems:
 
a) Show that if traffic lights are not used, the roundabout operates unsatisfactorily.
 
b) Using a trial-and-error approach determine the red and green arrow times that:

  • Enable the roundabout to operate satisfactorily; and
  • Balance the probabilities of queue lengths exceeding 20 in lanes 1 and 2 and lane 3.

Civil Engineering, Engineering

  • Category:- Civil Engineering
  • Reference No.:- M92180

Have any Question? 


Related Questions in Civil Engineering

Need answer for these questionswhy is the united states

need answer for these questions: Why is the United States experiencing an "infrastructure crisis"? Why did Romans use elevated aqueducts instead of pipes to covey water? What is "germ theory" and how is it important to t ...

Wembley stadium is afootball stadium inwembley london

Wembley Stadium is afootball stadium inWembley, London, England, which opened in 2007, on the site of the originalWembley Stadium, which was demolished from 2002-2003. The stadium hosts major football matches including t ...

Common telephone systems have a bandwidth of 3 khz and a

Common telephone systems have a bandwidth of 3 kHz and a signal-to-noise ratio of 48 dB. Determine the Shannon capacity of such a system.

Let qx y be the statement student x has been a contestant

Let Q(x, y) be the statement "student x has been a contestant on quiz show y." Express each of these sentences in terms of Q(x, y), quantifiers, and logical connectives, where the domain for x consists of all students at ...

Determine the radius of gyration kx of the columns

Determine the radius of gyration kx of the column's cross-section Determine the radius of gyration kx of the column's cross-sectional area. Given: a = 100 mm b = 75 mm c = 90 mm d = 65 mmCopy and paste your question here ...

Consider the air conditioning of a house through use of

Consider the air conditioning of a house through use of solar energy. At a particular location experiment has shown that solar radiation allows a large tank of pressurized water to be maintained at 448.15 K (175°C). Duri ...

Prepare a set of profile leveling notes for the survey in

Prepare a set of profile leveling notes for the survey in Figure 2.34. In addition to computing all elevations, show the arithmetic check and the resulting error in closure.

A certain material fractured in a simple tensile test at a

A certain material fractured in a simple tensile test at a stress level of 750MPa, the same material when used as part of a loaded structure must have principal stresses of 700, 500, and -300MPa. Determine the safety fac ...

Show transcribed image text an isotype step junction is one

Show transcribed image text An isotype step junction is one in which the same impurity type doping changes from one concentration value to another value. An n-n isotype doping profile is shown in Figure P7.12. (a) Sketch ...

A 160-kg load is supported by the rope-and-pulley

A 160-kg load is supported by the rope-and-pulley arrangement shown. Knowing that b=20°, determine the magnitude and direction of the force P that must be exerted on the free end of the rope to maintain equilibrium. (Hin ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

A cola-dispensing machine is set to dispense 9 ounces of

A cola-dispensing machine is set to dispense 9 ounces of cola per cup, with a standard deviation of 1.0 ounce. The manuf

What is marketingbullwhat is marketing think back to your

What is Marketing? • "What is marketing"? Think back to your impressions before you started this class versus how you

Question -your client david smith runs a small it

QUESTION - Your client, David Smith runs a small IT consulting business specialising in computer software and techno

Inspection of a random sample of 22 aircraft showed that 15

Inspection of a random sample of 22 aircraft showed that 15 needed repairs to fix a wiring problem that might compromise

Effective hrmquestionhow can an effective hrm system help

Effective HRM Question How can an effective HRM system help facilitate the achievement of an organization's strate