1
GATE CE 2024 Set 2
Numerical
+2
-0.833

A horizontal curve of radius 1080 m (with transition curves on either side) in a Broad Gauge railway track is designed and constructed for an equilibrium speed of 70 kmph. However, a few years after construction, the Railway Authorities decided to run express trains on this track. The maximum allowable cant deficiency is 10 cm.

The maximum restricted speed (in kmph) of the express trains running on this track is _______________ (rounded off to the nearest integer).

2
GATE CE 2024 Set 2
Numerical
+2
-0.833

A vertical summit curve on a freight corridor is formed at the intersection of two gradients, +3.0% and −5.0%.

Assume the following:
- Only large-sized trucks are allowed on this corridor
- Design speed = 80 kmph
- Eye height of truck drivers above the road surface = 2.30 m
- Height of object above the road surface for which trucks need to stop = 0.35 m
- Total reaction time of the truck drivers = 2.0 s
- Coefficient of longitudinal friction of the road = 0.36
- Stopping sight distance gets compensated on the gradient

The design length of the summit curve (in meters) to accommodate the stopping sight distance is _____ (rounded off to 2 decimal places).

3
GATE CE 2024 Set 1
+2
-0.833

The free mean speed is 60 km/hr on a given road. The average space headway at jam density on this road is 8 m. For a linear speed-density relationship, the maximum flow (in veh/hr/lane) expected on the road is

A

1875

B

938

C

2075

D

1038

4
GATE CE 2024 Set 1
Numerical
+2
-0.833

The number of trains and their corresponding speeds for a curved Broad Gauge section with 437 m radius, are

• 20 trains travel at a speed of 40 km/hr
• 15 trains travel at a speed of 50 km/hr
• 12 trains travel at a speed of 60 km/hr
• 8 trains travel at a speed of 70 km/hr
• 3 trains travel at a speed of 80 km/hr

If the gauge (center-to-center distance between the rail heads) is taken as 1750 mm, the required equilibrium cant (in mm) will be _______ (rounded off to the nearest integer).