Chapter 12, Problem 12.13QPP

The following figure is a flexible pavement system with the resilient moduli layer coefficients and drainage coefficients as shown. If the predicted ESAL = 6x106, Reliability, R = 99%, Standard Deviation (So) = 0.45, and APSI = 2.5, select thicknesses D1, D2, and D3 in accordance with the AASHTO Guide for Design of Pavement Structures. E₁ = 400, 000 psi; a₁ = 0.42, Thickness = D₁ E₂=30,000 psi; a₂= 0.14, m₂ = 1.2; Thickness = Dz E=11,000 psi; a=0.08, m3 = 1.2; Thickness = D3 MR= 5,700 psi

Diagramtically show the placement, size, and spacing of temperature steels, dowel bars and tie bars in rigid pavements. Also mention their puproses in rigid pavements.

A six-lane concrete roadway is being designed for a metropolitan area. This roadway will be constructed on a subgrade with an effective modulus of subgrade reaction k of 200 lb/in^3. The ESALs used for the design period is 6.0×10^6. Using the AASHTO design method, determine a suitable thickness of the concrete pavement (to the nearest 1/2 inch), provided that the working stress of the concrete to be used is 600 lb/in^2 and the modulus of elasticity is 6×10^6 lb/in^2. Assume the initial serviceability is 5.0 and the terminal serviceability is 2.0. Assume the overall standard deviation, So, is 0.35, the load transfer coefficient J as 3.2, the drainage coefficient, Cd, is 1.15, and R = 99%.

A 12-in. full-depth asphalt pavement is placed on a subgrade with aneffective roadbed resilient modulus of 7,000 psi. Assuming a layer coefficient of 0.44 for the hot mix asphalt, a drop in PSI from 4.5 to 2.5, an overall standard deviation of 0.49, and a predicted ESAL of 10 X 10^6, determine the reliability of thedesign by using the AASHTO equation and check the result by using the AASHTO design chart

Given the monthly resilient modulus below, find out relative damage of each month, the average relative damage and the effective roadbed resilient modulus.Month Resilient Modulus (psi):Jan  20,000Feb  22,000March  5,000April  6,000May  7,000June  8,000July  8,500August  9,500September  9,000October  8,000November  7,000December 18,000

Determine the largest torque T that can be applied to each of the twoaluminium bars shown in Figure 5 below, and the corresponding angle of twistat B, knowing that allow = 50 MPa and G = 26 GPa. [10]Figure 5 : Aluminium Bars(Source: Mechanics of Materials Beer, Johnston, DeWolf & Mazurek 6Ed p204)

Assume a car park facility where the arrival rate is λ customer every minute, and the service process including pressing the button, taking the card, and waiting for the boom to rise leads to service rate of μ customer every minute. a. Assume the arrival and service processes are stochastic. Using any software (Excel, Matlab, or the one you prefer), plot average delay time (including service time) and average queue size (including the vehicle currently being served) for all combinations of λ = {1,2,3,..,10} and p = {0.1,0.3,0.5,0.7,0.9}. Specifically, we ask you to make 2 graphs (one for average delay and the other for average queue size), where the x-axes contains the different values for 1, and where you make one curve for each p. b. Assume the arrival process is stochastic but the service process is deterministic with rate µ. Using any software (Excel, Matlab, or the one you prefer), plot average delay time (including service time) and average queue size (including the vehicle…

Consider, M people (aka pax) who want to travel by car from O to D. They all start working at D at Q (e.g., Q-8am). If a person departs at time t, assume the time needed to go from O to D is given by c(t)=A+Bx(t), where x(t) is the flow of people departing at time t [car/unit of time]. In addition, a is the penalty for being early at work (E(t) is how early the person arrived when departing at time t), and ẞ is the penalty for being late at work (L(t) is how late the person arrived when departing at time t). Assume 0 < a < 1 < ß. Further assume the departure time choice problem under the equilibrium conditions. Prove that the arrival time of people who depart when most of the M people start their trips is equal to Q.

Consider, M people (aka pax) who want to travel by car from O to D. They all start working at D at Q (e.g., Q=8am). If a person departs at time t, assume the time needed to go from O to D is given by c(t)=A+Bx(t), where x(t) is the flow of people departing at time t [car/unit of time]. In addition, a is the penalty for being early at work (E(t) is how early the person arrived when departing at time t), and ẞ is the penalty for being late at work (L(t) is how late the person arrived when departing at time t). Assume 0 < a < 1 < ß. Further assume the departure time choice problem under the equilibrium conditions. Prove that the arrival time of people who depart when most of the M people start their trips is equal to Q.