Civil Engineering - Highway Engineering - Discussion

Discussion Forum : Highway Engineering - Section 1 (Q.No. 5)
5.
The total length of a valley formed by two gradients - 3% and + 2% curve between the two tangent points to provide a rate of change of centrifugal acceleration 0.6 m/sec2, for a design speed 100 km ph, is
16.0 m
42.3 m
84.6 m
none of these.
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
30 comments Page 3 of 3.

Ayebare Junior jeezy said:   9 years ago
If V is the speed =100km/hr.
Difference in grades = A = (m - n).
= (-3 - 2) = 5% of acceleration
= 0.6.

But V =100 x 1000/60 x 60 = 27.8m/s.
L = 2*(aV^3)^0.5.
=((2)*0.05 x 27.8^3/0.6)^0.5).
= 84.53m.

Santhi said:   10 years ago
Here v is the design speed of the vehicle.

Nikhil said:   10 years ago
What is mean by V?

Rishabh said:   10 years ago
L is the length of valley curve.

And this formula is applicable in this case only 2(Nv^3/c)^0.5.

Tarun said:   1 decade ago
V = 1km/hr*5/18 is m/s.

Manikanth said:   1 decade ago
Lenth of valley curve for comfort condition is 2(Nv^3/c)^0.5.

Nitin said:   1 decade ago
N is sum of upward & downward gradient.

Twizere kagunga elie said:   1 decade ago
I don't understand well if N is load or if is median.

Alik Biswas said:   1 decade ago
We Know, L= 2*(N*v^3/c)^0.5 (Length of valley curve).

Here, N = 2%-(-3%) (Algebraic difference in grades).
= 5% Or 0.05.

v = 100 km/hr or 27.778 m/sec (Design Speed).
c = 0.6 m/sec3 (Centrifugal acceleration).

Therefore, L= 2*(0.05*27.778^3/0.6)^0.5 = 84.53 m.

Say,84.60 m ([C] is the correct answer.

Ram kumar said:   1 decade ago
Length is 84.16 means, then what s the answer? option A or option C.


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