What is Super elevation | How do you calculate super elevation – Design

What is super elevation?

The lateral inclination of the road is known as superelevation. Superelevation is provided to reduce the tendency of the vehicle to topple or skid, the outer edge of the road pavement is raised with respect to the inner edge, thus tilting the road surface from the outer edge tower to the inner edge. It is denoted by “e”.

If superelevation is not provided at horizontal curves, then the load on the outer wheel shall be more than the load on the inner wheel.

What are the factors on which superelevation depends?

Superelevation of the road depends upon the following factors.

  1. Speed of vehicle on the curves.
  2. Radius of the horizontal curves.
  3. Lateral friction resistance between vehicle tyres and road.

The centrifugal force always acts on a horizontal even vehicle running on a superelevation track. and the superelevation is expressed as the ratio of the height of the outer edge with respect to the horizontal width of the pavement.

What is Super elevation | How do you calculate super elevation - Design

W = width

or, sin θ = E/W

So, tanθ = E/W = “e”

or, e = E/W , [where maximum value of e = 7%]

Analysis of Super Elevation

What is Super elevation | How do you calculate super elevation - Design

Considering equilibrium

P cos θ = wsin θ + F

or, Pcos θ = W sin θ + FA +FB [ Since FA = FA + FB = f( RA + RB )]

or, Pcos θ = W sin θ + f( RA + RB )

or, Pcos θ = W sin θ + f( W cos θ + P sin θ ) [Where, RA + RB = ( W cos θ + P sin θ ) ]

or, Pcos θ – F Pcos θ = w sin θ + Fw cos θ

Dividing both side by “w cos θ” then,

What is Super elevation | How do you calculate super elevation - Design

Here, consider, e = 7%=0.07 and f = 0.15 then,

(1-fe) = 1

What is Super elevation | Design of superelevation in Transportation

How do you calculate super elevation?Design steps

  1. Considering 75% of design speed and neglecting coefficient of lateral friction (f) so,
What is Super elevation | How do you calculate super elevation - Design

2. If e>0.07 from step (1) then take e=0.07 & obtain f by,

What is Super elevation | How do you calculate super elevation - Design

3. If f> 0.15 from step (2), calculate restricted velocity Vo by taking e = 0.07 and f= 0.15

What is Super elevation | How do you calculate super elevation - Design

Superelevation Problems and solutions

Q) The design speed of the highway is 75 km/hr and the radius for horizontal curve is 140 m.

a) Calculate the superelevation needed to maintain that speed.

b) If the maximum superelevation is 7% then calculate allowable speed on this curve.

Solution:-

a) First take 75% of design speed,

What is Super elevation | How do you calculate super elevation - Design

Here, e > 7%

b) So, use e = 7% = 0.07

Then,

What is Super elevation | Design of superelevation in Transportation

f is . 0.15 So,

Taking f = 0.15 and e = 0.07 to get restricted velocity.

Now,

What is Super elevation | How do you calculate super elevation - Design

For the purpose and safety, provide Vo=60 Km/hr.

I hope this article on “ How do you calculate super elevation ” remains helpful for you.

Happy Learning – Civil Concept

Read Also,

Advantages of road transport | Disadvantages of Road Transport

What is Camber in Road? Types, Advantages Disadvantages of Camber

WBM road construction procedure | Features | Application of WBM

Different modes of transportation with (Advantages and Disadvantages)

Share On:

"Structural Engineer" with over 5 years of experience in estimation, structural design, and surveying. I am passionate about using my skills to create safe and sustainable structures. I am also a keen writer, and I enjoy sharing my knowledge and experiences with others.

Your Comment