Chapter 6, Problem 7RQE

Refer to the figure below. Given: L₁ = 4m, L2 = 8 m, l₁ = l2 = 2 m, y = 16 kN/m³, Ysat = 18.5 kN/m³, and ' = 26°. Use the charts presented below the answer fields. Sand c' = 0 Anchor L₁ Water table Sand Ysat c' 0 $' Sand c' = 0 1. Determine the theoretical depth of penetration. (Enter your answer to two significant figures.) D= m 2. Determine the anchor force per unit length. (Enter your answer to two significant figures.) F= kN/m 3. Determine the maximum moment in the sheet pile. (Enter your answer to two significant figures.) CDL₁ Mmax = 0.5 kN-m/m 0.4- -24= &' 26° 0.3 -28° 30° 32° 0.2 34° 36° 38° 0.1 0.0 0.1 0.2 0.3 0.4 0.5 1.18 1.16 1.14 1.12 1.10 1.08 1.06 1.04 4₁/(L₁+ L₂2) L₁ 4₁+12 0.3 0.2 = 0.4

For the gravity concrete dam shown in the figure, the following data are available: - Unit weight of concrete (Yeone) = 2.4 ton/m³ - Horizontal earth quake coefficient (Kh) = 0.1 Neglect( Wave pressure, silt pressure, ice force) H=0.65, (Ywater) -1 ton/m³ Find :- a- heel and toe stresses (Pain & Pmas) b- factor of safety against sliding and overturning (F.S. & F.Sover). Solve in table on paper W 8m 6m 8m 94m 0.9

A market segment consists of 500 individuals. A Logit mode choice model (with logit parameter equal to 1) has been estimated for this market resulting in the following utility function: U = ẞm 0.40C 0.037 where C is out-of-pocket cost in $ and T is travel time in min. Values of ẞm are: Bus: 0.00; Rail: 0.50; Car: 1.50. For a particular origin-destination pair, the cost of a car trip is $2 and the duration 8 minutes, a rail trip is $1.50 and takes 12 minutes, while a bus takes 20 minutes and costs $1.25. a. Predict the number of trips for each mode. b. Which one of the following policies would lead to the largest increase in bus passengers? Why? (i) An increase in the price of gas that increases the cost of a car trip to $3, while all other parameters remain constant. (ii) Introducing an express service that decreases the travel time of the rail to 10 min, while all other parameters remain constant. (iii) Decrease the cost of the bus to $1, while all other parameters remain constant.

Q1: For the gravity concrete dam shown in the figure, the following data are available: -Unit weight of concrete (Y)-2.4 ton/m Neglect Wave pressure, silt pressure, ice force and carth quake force) -0.65, (7) 1 ton/m' Find factor of safety against sliding and overturning (F.Sas & F.Ser), If heel and toe stresses (P & Pan) are 57.17ton/m² and 84.53 ton/m² respectively. Solve in table on paper w.s.i 83m 10m 8m 80m

In this question, we are going to learn about the gravity model. As discussed in class, an alternative and frequent way to model the demand is doing it in 4 steps: Generation/Attraction, Distribution, Mode choice, and Route choice. In the generation/attraction step, we estimate the number of trips that depart and arrive from each zone, in a similar way as we studied generation in the lectures. The idea of the distribution step is, taking the generation and attraction numbers as known, estimate the number of people going from each zone to each zone. Let's be precise: Consider that you know O₂ for every zone i, representing the number of users that have i as their origin. Similarly, you know Dj, representing the number of users that have j as their destination. We want to estimate Mij, i.e., the number of users going from i to j. The matrix M

= a2+ Assume an origin is connected to a destination with two routes. Assume the travel time of each route has a linear relationship with the traffic flow on the route (t₁ = α₁ + b₁x₁ ; t₂ b2x2). Determine under what condition (e.g. a relationship among the parameters of the performance functions) tolling cannot reduce the total travel time of the two routes.

A suburb has 2000 households. The council hired two transport consulting companies to predict the generated work trips from within the suburb after building a few residential complexes. The new buildings will increase the number of households to 2500. The following information is provided: Type Household Size Household Count Projected Household Count 1 1 500 800 2 2 800 900 3 3 700 800 Each company has conducted different travel surveys from 200 households based on different sampling methods. The work trip generation models are as follows: Company A: T₁ = -0.1 + 0.8 (household size) Company B: T₁ = 0.1 + 0.5 (household size) a. If the total number of current work trips is 2700, which model should be used for prediction? Why? b. What are the possible reasons for the difference between the two models? C. As a transport engineer working for council, propose a new and more accurate model based on Companies A and B models. d. Based on the new model in Part C, predict the number of work…

Consider the following static route choice problem where 110 vehicles travel from point A to point B. The corresponding travel time (in minutes) of each link is as follows: t₁ = x1; t₂ = x2 + 20; t3 = x3 + 10; t₁ = 3x4 where x; denotes the number of vehicles that choose link i. Find the number of vehicles that travel on each link when a. The user equilibrium condition (UE) is satisfied, where vehicles select the route with the minimum travel time; and b. The system optimum condition (SO) is satisfied, where the total travel time is minimised. C. Report the total delay savings when satisfying SO instead of UE. 2 A B 3 4

It is known that 5000 automobile trips are generated in a large residential area from 12:00 PM to 1:00 PM on Saturdays for shopping purposes. Four major shopping centres have the following characteristics: Shopping Centre 1 2 3 4 Distance from residential area (km) 4 9 8 14 Commercial floor space (thousands of m²) 20 15 30 60 Using a Logit model (with logit parameter equal to 1), the following utility function is estimated for the residents' choice of shopping destination: U = -0.283 X1 + 0.172 X2 where X1 is distance from residential area (km) X2 is commercial floor space (thousands of m²) Determine the number of shopping trips to each of the four shopping centres. Are the signs of the parameter coefficients reasonable? Discuss.