Estimate the queue dissipation time, maximum queue length, and total delay, given: 3:00 - 3:30 PM 3:30-4:00 PM 1200 900 4:00 – 8:00 PM Time Arrival Rate (veh/hour/lane) Departure Rate (veh/hour/lane) 1200 1200 1800 1800

1.2 For the same beam as in problem 1.1, (a) Find the largest value of x-displacement. (b) Find the largest value of y-displacement. (c) Find the largest value of x-rotation. (d) Find the largest value of z-rotation. (Use the formulas in Roark's book for parts b and d.) Answers (a) 0.00955 in [to the right] (b) 5.915 in [up] (c) 0.124 rad (d) 0.1741 rad 20,000 in lb 1,000 lb 15,000 in lb 6,000 lb 100 lb/in 25' *5"* 10" 10" Cross-Section: Solid Circular with 2" Diameter Material Properties (Aluminum): E=10x10 psi E v=0.3 G= 2(1+v)

What steps should be taken to develop the moment-area method?

For the beam shown, determine the slope at B using moment-area method. Please be clear with your answer. Thank you