A 5% grade intersects a -3.4% grade at station 1+990 of elevation 42.30m. Design a vertical summit parabolic curve connecting the two tangent grades to conform with the following safe specifications: 1. Design velocity = 60kph 2. Height of drivers eye from the road pavement 1.37m 3. Height of object over the pavement = 100mm 4. Perception - reaction time 0.75 sec 5. Coefficient of friction between the road pavement and the tires = 0.15 Determine the (a) Stopping sight distance (b) Station of P.C and P.T. and the location of the highest point of the curve (c) elevation of the highest point of the curve

A 5% grade intersects a -3.4% grade at station 1+990 of elevation 42.30m. Design a vertical summit parabolic curve connecting the two tangent grades to conform with the following safe specifications: 1. Design velocity = 60kph 2. Height of drivers eye from the road pavement 1.37m 3. Height of object over the pavement = 100mm 4. Perception - reaction time 0.75 sec 5. Coefficient of friction between the road pavement and the tires = 0.15 Determine the (a) Stopping sight distance (b) Station of P.C and P.T. and the location of the highest point of the curve (c) elevation of the highest point of the curve

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Design a vertical summit parabolic curve connecting two tangent grades, a 5% grade intersecting a -3.4% grade at station 1 + 990 with an elevation 42.30 meters. The parabolic curve shall conform with the following safe stopping sight distance requirements. Design velocity = 60 kph Height of driver’s eye from the road pavement = 1.37 meters Height of an object over the pavement ahead = 100 mm. Perception/reaction time = 0.75 second Coefficient of friction between the road pavement and the tires = 0.15 Determine the following: Stopping sight distance The length of the curve The elevation of the highest point on curve.
An equal tangent vertical curve is to be constructed between grades of -6.75% (initial) and 4.75% (final). The PVI is at station 12+000.000 and at elevation 319 m. Due to a street crossing the roadway, the elevation of the roadway at station 12+071.00 must be at 324 m. Which of the following most nearly gives the elevation of the PVC in meters? * 335.0 O 330.4 339.0 330.0 348.1
12. Find the minimum length of curve for the following scenarios. Entry Grade Exit Grade Design Speed Reaction Time A 3% 8% 45 mi/hr 2.5 s В -4% 2% 65 mi/hr 2.5 s 0 % -3% 70 mi/hr 2.5 s
1. A grade of -3.7% grade intersects a grade of +2.80% at Station 11 + 488.00 of elevations 122.50 meters. Design a vertical sag parabolic curve connecting the two tangent grades to conform with the following specifications: Design Velocity = 60 kph Perception Reaction time = 2.5s Deceleration Rate=3.4 sec (AASHTO STD) hi = 0.60 mts (AASHTO STD) a) Determine the Length of the Curve using beam headlight criteria. b) Determine the Length of the Curve using comfort criteria. c) Determine the station of the PC and PT.
A +3% grade intersects a -3.4% grade at station 2+990 of elevation 52.30m. Design a vertical summit parabolic curve connecting the two tangent grades to conform with the following safe specifications: Design velocity = 70kph Height of drivers eye from the road pavement = 1.37m = h, Height of object over the pavement = 650mm = h, Perception – reaction time = 2.5 sec = t Coefficient of friction between the road pavement and the tires = 0.15 = f Brake efficiency = 40% Determine: (a) Length of the curve (b) Station of P.C and P.T. and the location of the highest point of the curve (c) elevation of the highest point of the curve m/s) 2(m)(c0.15)(0.40)+0.03} 70 (v)? 70 SSD = (v)(t) + G m/s)(2.5s) + 3.6 79.01m 2g(f±G) 3.6 = 262.73m CE 31
Determine variables requested below for a horizontal curve with the following characteristics. Length of curve 1255', Radius 1200', sta of PC 12+00 superelevation rotated about the roadway centerline, 3 lane roadway, 14ft lane width, entire road section normal crown=2%, road design speed=60 mph, max superelevation=8% 8) The station of the NC is: O 8+12.5 8+90 8+92.5 O 11+22.5 O 12+00
A VERTICAL PARBOLIC CURVE WAS DESIGN IN ORDER TO HAVE A CLEAR SIGHT DISTANCE OF 120 M. THE GRADE LINES INTERSECT AT STA 9+000 AT ELEV 1160.50. THE CURVE WAS DESIGN SUCH THAT WHEN THE HEIGHT OF THE DRI VERS EYE IS 1.50 M ABOVE THE PAYMENT IT WOULD JUST SEE AN OBJECT WHOSE HEIGHT IS 0.1O M ABOVE THE PAVEMENT. DETERMINE THE MAX SPEED THAT A CAR COULD TRAVEL GRADE OF 5% AND A DOWNGRADE OF -3%.
A 4% grade intersects a -2.6% gradw at station 1 +990 of elevation 42.30 m. Design a vertical summit parabolic curve connecting the two tangent grades to conform with the following safe stopping sight distance specifications. Design velocity = 57 kph Height of driver's eye from the pavement = 1.37m Height of an object over the pavement ahead. 100 mm Perception-Reaction time = 3/4 seconds f = 0.13 Determine the stopping sight sight distance in m.
A 5% grade intersects a -3.4% grade at station 41+990 of elevation 42.30 m. Design a vertical summit parabolic curve connecting the two tangent grades to conform with the following safe stopping sight distance specifications.Design Velocity = 60 kphHeight of driver's eye from the road pavement = 1.37 mHeight of an object over the pavement ahead = 100 mm Perception-reaction time = 3/4 sCoefficient of friction between the road and the tires = 0.15
A +4% grade line intersects a -2 % grade line at station 6+800, where the elevation is 642.40 m. as shown in the figure. Determine the elevations of 100-m stations for this 1,000-m unequal tangent curve. Determine the station and curve elevation of PC, PT, D, E and CVC where in CVC is compound vertical curve.
A rising grade of 1.5 percent meets a falling grade of 4.0 percent at station 2+400 of elevation 15.0 m. Design the vertical curve connecting the two tangent grades to conform with the following safe stopping sight distance specifications. • Design velocity = 40 mph • Height of an object over the pavement ahead = 0.11 m • Height of driver's eye from the road pavement = 1375 mm • Response-initiation time = 1.5 sec • Coefficient of friction between the road pavement and the tires = 0.10 14. Determine the stopping sight distance. a. 133.333 m b. 140.667 m c. 168.475 m d. 170.555 m 15. Determine the length of curve. a. 344.948 m b. 422.757 m c. 279.001 m d. 360.667 m 16. Determine the elevation of highest point on curve. a. 13.119 m b. 12.005 m c. 14.322 m d. 11.333 m
Q3/ Given the following vertical curve data: pvl at 19+00,L-500 ft g1=+2.5%, g2= -1% and elevation at pvl=723.86 ft, compute the elevations on the curve at even full station(that is,100 ft even station).