Chapter 16, Problem 4RQ

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.

1. Plot the SWRC (suction vs. volumetric water content) from the van Genuchten (1980) model for the following “base-case” parameters (assume m = 1-1/nvG): alpha vG = 0.35 kPa-1, nvG = 2.2,Delta res = 0.02, and delta S = delta sat = 0.45. These values are approximately representative of a sand.Perform a sensitivity analysis on each of the base case parameters (i.e., vary each by ±10% while holding the other three constant) to determine their relative effects on the SWRC. For example, how would a change in s alter the curve if the other base case parameters stay the same? In your answer, provide 4 plots for the parametric evaluation of each parameter as well as a brief qualitative explanation for each plot (for example, when investigating the effect of alpha vG, show the base-case curve and the curves with different values of alpha vG on the same plot). Be sure that suction is plotted on a logarithmic scale. Also, discuss how theparameters of the van Genuchten SWRC model might differ…

Using AutoCAD and exact measure that number

A fully grouted reinforced masonry wall is to be constructed of 8-in. CMU. The wall height is 18feet. It is assumed to be simply supported. The wall is to be designed for an out-of-plane seismicload of 52 lbs./ft.2, which can act in either direction. The wall also supports a roof dead load of600 lbs./ft. and a roof live load of 300 lbs./ft. along the wall length. The roof loads have aneccentricity of 2.5 inches. Since there is seismic load, load combinations (6) and (7) in Chapter 2of ASCE 7-22 should be considered. In these two load combinations,horizontal seismic loadhE =andvertical seismic loadvE = . You may ignorevE in this problem for simplicity. The masonryhas a specified compressive strength of 2,500 psi. (a) Use the strength design provisions of TMS402 to determine the size and spacing of the vertical bars needed. Use the P-δ analysis method inSection 9.3.4.4.2 of TMS 402 to determine Mu. (b) Repeat the design using the momentmagnification method in Section 9.3.4.4.3 instead.…

The city's downtown area on Elm St, with its intricate network of roads and intersections, has long been a challenge for both seasoned travelers and newcomers alike. Given the lane configurations for the shown intersection, find the number of conflict points. Vehicle-to-vehicle conflicts (merge, diverge, and/or crossing conflicts) Vehicle-to-pedestrian conflicts Vehicle-to-bicycle conflicts

Can you please do hand calcs and breakdown each step

Q4. Statically determinate or indeterminate frame analysis by the stiffness method a) Determine the stiffness matrix of the frame as shown in Fig. 4. Nodes 1 and 3 are fixed supports. Assume I = 300(10%) mm, A = 10(103) mm², E = 200 GPa for each member. Indicate the degrees-of freedom in all the stiffness matrices. Use the values of L3-3.5 m, w = 24 kN/m and P = 30 kN. Note, L4-1.8L3 (i.e. 1.8 times L3). b) Determine all the displacement components at node 2 and all internal reactions at node 2. Show all calculations. c) Draw the BMD of the frame on the compression side showing all the salient values. Show all calculations. d) Repeat the problem using the Strand 7. Show the model with all the nodes and element numbers and boundary conditions. Submit a hard copy from Strand7 showing all the reactions (highlight these in the hard copy). Display the bending moment diagram for the frame. 4 e) Compare the BMD from Strand 7 with the theoretical one and compare the respective values of…

Can you please break down all the hand calcs and make sure we answer the below.   a Determine the global stiffness matrices (k’) of all truss members including correct degrees-of freedom (dof)-3x3 b Determine the global stiffness matrix (K) of the whole truss (include dof numbers) c i) Calculate vectors D and Q (4+4).    ii) Show partition and solve KD=Q        iii) Calculate all the member forces         d i) Solve the problem using Strand7 (model) (You must model the beam property as truss)   ii) Display of deflected shape, nodal displacements and member forces (3+3+3)  e Comparison of member forces and comments , comparison of displacemnts and commnets