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Problem Sheet - Super Elevation highways, Study notes of Highway Engineering

Dr. A.P.J. Abdul Kalam Technical UniversityHighway Engineering

Problem sheet on civil engineering and highways construction. Exercises

Typology: Study notes

2010/2011

Uploaded on 08/31/2011

nihira
nihira 🇮🇳

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Problem Sheet
(1) A two lane two way highway goes from normal crown to 10% super elevation, by
means of a spiral curve. Determine minimum length of spiral if difference in grade
between center line and the edge of the road is limited to 1/200. Draw super
elevation diagrams, for rotation about crown, outer edge and inner edge, taking
station of TS as 160+00.
(2) Repeat problem 1 taking super elevation as 8% and the station of TS as 80+00
(3) A two-lane two way highway with velocity of 100km/hr has a 400m radius. A
horizontal curve connects tangents with bearings of N 75 E and S 78 E. Determine
the super elevation rate and the length of the spiral, if the difference of the grade
between the center line and the edge of the road is limited to 1/200. Sketch the
approximate super elevation diagram and take the station of TS as 100+00
(4) For a super elevation rate of 0.08 ft/ft computer the minimum possible radii of the
road for the speeds 30, 35, 40, 45, 50, 55, 60, 65, 70 km/hr. Assume f = 0.1 and plot
a graph between speed and radii, with speed on the abscissa (x-axis) and radii on
the ordinate (y-axis).
(5) Repeat question no. 4 and use f=0.2. Draw the graph on the same graph paper as
question number 4 and compare the two graphs. What is the difference made by
increasing the value of f?
(6) Vehicle performance is being tested on a large flat paved area. For this situation:
a. What co-efficient of side friction must be developed to hold a car going at
60miles/hr on a 1000ft radius?
b. What is the minimum radius of curve that a vehicle can safely travel if the speed
is 60miles/hr and the coefficient of side friction is 0.4
(7) An existing horizontal curve on an existing highway has a radius of 268ft which
restricts the maximum driving speed to 60% of the design speed of highway. If the
curve is to be improved such that the new maximum driving speed is equal to the
design speed what is the new radii of the curve required? Assume the values of f
and e as 0.15 and 8% respectively for both, before and after the improvement of the
road.
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Problem Sheet

(1) A two lane two way highway goes from normal crown to 10% super elevation, by means of a spiral curve. Determine minimum length of spiral if difference in grade between center line and the edge of the road is limited to 1/200. Draw super elevation diagrams, for rotation about crown, outer edge and inner edge, taking station of TS as 160+00. (2) Repeat problem 1 taking super elevation as 8% and the station of TS as 80+ (3) A two-lane two way highway with velocity of 100km/hr has a 400m radius. A horizontal curve connects tangents with bearings of N 75 E and S 78 E. Determine the super elevation rate and the length of the spiral, if the difference of the grade between the center line and the edge of the road is limited to 1/200. Sketch the approximate super elevation diagram and take the station of TS as 100+ (4) For a super elevation rate of 0.08 ft/ft computer the minimum possible radii of the road for the speeds 30, 35, 40, 45, 50, 55, 60, 65, 70 km/hr. Assume f = 0.1 and plot a graph between speed and radii, with speed on the abscissa (x-axis) and radii on the ordinate (y-axis). (5) Repeat question no. 4 and use f=0.2. Draw the graph on the same graph paper as question number 4 and compare the two graphs. What is the difference made by increasing the value of f? (6) Vehicle performance is being tested on a large flat paved area. For this situation: a. What co-efficient of side friction must be developed to hold a car going at 60miles/hr on a 1000ft radius? b. What is the minimum radius of curve that a vehicle can safely travel if the speed is 60miles/hr and the coefficient of side friction is 0. (7) An existing horizontal curve on an existing highway has a radius of 268ft which restricts the maximum driving speed to 60% of the design speed of highway. If the curve is to be improved such that the new maximum driving speed is equal to the design speed what is the new radii of the curve required? Assume the values of f and e as 0.15 and 8% respectively for both, before and after the improvement of the road.

(8) Determine the minimum radius required if the speed is limited to 70 miles/hr and the super elevation rate as 8% (9) Curve is to be designed for a highway having a design speed of 60miles/hr. If physical conditions restrict the radius of curve to be 500ft, what super elevation rate is required for this curve? Will this be a good design or not? If not then suggest a solution for an appropriate design. (10) Radius of a horizontal curve on an existing highway is 750ft. If super elevation is 8% and the maximum speed is limited to 105km/hr, will this be a hazardous location on the highway? If so why and what action will you recommend to correct the situation. (11) A section of the highway has e = 5% and the curve with a radius of 300ft. What speed limit will you recommend keeping a factor of safety as 1.3, at this section of the highway? Take f=0. (12) A new highway is being built with a design speed of 120km/hr. for one of the horizontal curves it has been decided that due to space limitations the radius is planned to be 300m. Determine the super elevation required for this curve (13) Determine the proper super elevation rate for a gravel road with a design speed of 50miles/hr and D as 8º (14) Find the maximum D of a horizontal curve of a road where v=65miles/hr. f is in the range of 0.1 to 0.15 and e in the range of 8% to 10% (15) A level of two lane highway has a 6º curve. What will be the minimum value of super elevation to be developed for maximum side friction for a design speed of 65 miles/hr?