Prove that the critical hydraulic gradient is i cr = G s − 1 1 + e .

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Develop a signal design and timing for the intersection shown in the figure below. In each case accommodate both vehicular and pedestrian movements. In general, use the following values for the problem: pedestrian walking speed = 1 [m/s], vehicle deceleration = 3 [m/s²], driver reaction time = 1.5 [s], length of vehicle = 6 [m], and level grade = 0. If you need to assume other variables and parameters to solve this problem clearly state that in your report and explain the reason. = 4250 1100 70 1100 80 One-way ' 1 900 Speed limit = 50 [km/h] Pedestrian = 15 per each crosswalk Crosswalk widths = 3 [m] Lane width = 4 [m] Saturation flow = 1800 [veh/h/lane] 200

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Chapter 8, Problem 8.2P

To determine

Prove that the critical hydraulic gradient is icr=Gs−11+e.

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Develop a signal design and timing for the intersection shown in the figure below. In each case accommodate both vehicular and pedestrian movements. In general, use the following values for the problem: pedestrian walking speed = 1 [m/s], vehicle deceleration = 3 [m/s²], driver reaction time = 1.5 [s], length of vehicle = 6 [m], and level grade = 0. If you need to assume other variables and parameters to solve this problem clearly state that in your report and explain the reason. = 4250 1100 70 1100 80 One-way ' 1 900 Speed limit = 50 [km/h] Pedestrian = 15 per each crosswalk Crosswalk widths = 3 [m] Lane width = 4 [m] Saturation flow = 1800 [veh/h/lane] 200

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SITUATION 3: A simply-supported steel beam 6 m long carries a uniform load of 25 kN/m and an axial compressive force of 250 kN. Assume both flange and web are compact. The properties of the rolled section are as follows: Show your complete solution and box only the final answer. Flange Width, bf = 210 mm Flange thickness, tf = 24 mm Overall depth, d=225 mm Web thickness, tw 14 mm Yield Strength, Fy=248 Mpa Radius of Gyration, ry = 54.342 mm Cb = 1.136 J = 2,097,256 mm² rts = 62.089 mm 1. Determine the total moment of inertia along x-axis. 2. Determine the total moment of inertia along y-axis 3. What is the allowable axial compressive strength of the beam, in kN? 4. What is the allowable flexural strength of the beam, in kN-m? 1. 108.764 x 106 mm* 2. 37.084 x 106 mm* 3. 982.304 KN 4. 166.723 KN-m