A +2 percent grade on an arterial highway intersects with a -1 percent grade at station (535+24.25) at an elevation of 300 ft. If the design speed of the highway is 65 mi/h, determine the stations and elevations of the BVC and EVC, and the elevation of each 100-ft station. Use L = KA to find minimum curve length for this problem.
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- A +2.5% grade intersects with a –1.5% grade at station (53+524.25) at an elevation of 90 m. If the design speed is 90 km/h, use AASHTO (2011) criteria to determine: The minimum length of vertical curve using the rate of vertical curvature. The stations and elevations of the BVC and EVC. The elevation of each 20-m station. The station and elevation of the highpoint.Determine the minimum radius of a horizontal curve required for a highway if the design speed is 70 mi/h and the superelevation rate is 0.08.A curve of 100 m radius (e=8.0 % and fs=0.14) is located at a section of an existing rural highway which restricts the safe speed to 55 % of the design speed causing a high accident rate. To reduce the accident rate, a new curve is to be designed. Determine the minimum radius of this curve if the safe speed should be increased to the design speed. Assume the same values of e and fs.
- Highway Engineering: You are designing a highway to AASHTO guidelines on rolling terrain where the design speed will be 65 mi/h. At one section, a +1.25% grade and a -2.25% grade must be connected with an equal-tangent vertical curve. Determine the SSD given the reaction time of 2.5 sec and deceleration of 3.4 m/s^2. Determine also the minimum length of curve.The arterial road with a 100 km/h design speed will be constructed on the flat terrain. At one section, the equal tangent vertical curve as shown in Table 3 is proposed. Table 3: Parameters of Vertical Alignment Length 490 m PVC station 3+700.000 PVC elevation 460 m Initial grade -3.5% Final grade 6.5% (a) Calculate the stationing and elevation of the low point, PVI and PVT. (b) Calculate the minimum length of curve to meet stopping sight distance requirementsA vertical curve is needed to join to tangents; G1=1% and G2=4%. Assuming a level grade (0%) for braking, and the AASHTO recommended values for deceleration and perception-reaction time, calculate the minimum length of curve (ft) needed to satisfy the safety criteria. The design speed is 60 mph.
- A vertical curve is used to connect the grades of -4% and -2%. The project speed is 80 km/h on undivided state road. Reaction time is 1.5 sec, friction coefficient is 0.35 and point of intersection elevation of 2000 m above sea level. Determine; a) Parabolic vertical curve length, b)Point of curvature and point of tandency of elevation.Determine the minimum length of a vertical curve between a -1.78% grade and a -7.8% grade for a road with a 110 km/h design speed. The vehicle approaches the curve from the side of -1.78% grade. The vertical curve must provide the sufficient stopping sight distance and meet the appearance criteria. For stopping sight distance the both vehicle and object are located within the vertical curve. Consider a new road with a single carriageway in each direction, Rt=2.5s, d=0.29, h1=1.1m, h2=0.2m, height of headlight = 0.65m and q=1 degree.Determine the minimum length of a vertical curve between a +1.48% grade and a +6.2% grade for a road with a 100 km/h design speed. The vehicle approaches the curve from the side of +1.48% grade. The vertical curve must provide the sufficient stopping sight distance and meet the appearance criteria. For stopping sight distance the both vehicle and object are located within the vertical curve. Consider a new road with a single carriageway in each direction, Rt=2.0s, d=0.36, h1=1.1m, h2=0.2m, height of headlight,h = 0.65m and q=1 degree.
- Compute the minimum length of vertical curve to provide stopping sight distance for a design speed of 100 km/h at the intersection of a +1.4% grade with a -0.6% grade.Problem 2. This is a four-part problem. A +2.5% grade intersects with a –1.5% grade at station (735 + 30.75) at an elevation of 475 ft. Part A. If the design speed is 65 mi/h, determine the minimum length, in ft, of vertical curve. Part B. If the design speed is 65 mi/h, determine the elevation, in ft, of the point of vertical tangency also known as end of vertical curve. Part C. If the design speed is 65 mi/h, determine the elevation, in ft, of the highpoint of the curve. Part D. If the design speed is 65 mi/h, determine the distance, in ft, from the point of vertical curvature (also known as the beginning of curve) to the highpoint of the curve.A simple horizontal curve has 35 degrees of curvature and subtends an angle of 110 degrees. If the PC is at station 3 + 65.00 ft, what is the intermediate or additional deflection angle (degrees) (i.e. the angle subtended by the roadway between two subsequent full stations)?