Civil Engineering GATE 2024 Set-I Questions with Answer

Ques 40 Structural Analysis

A homogeneous, prismatic, linearly elastic steel bar fixed at both the ends has a slenderness ratio (l/r) of 105, where l is the bar length and r is the radius of gyration. The coefficient of thermal expansion of steel is 12 x 10^-6/^oC. Consider the effective length of the steel bar as 0.5l and neglect the self-weight of the bar. The differential increase in temperature (rounded off to the nearest integer) at which the bar buckles is _______.

Ques 41 Structural Dynamics

A linearly elastic beam of length 2l with flexural rigidity EI has negligible mass. A massless spring with a spring constant k and a rigid block of mass m are attached to the beam as shown in the figure. The natural frequency of this system is _______.

Ques 42 Surveying

For a reconnaissance survey, it is necessary to obtain vertical aerial photographs of a terrain at an average scale of 1:13000 using a camera. If the permissible flying height is assumed as 3000 m above a datum and the average terrain elevation is 1050 m above the datum, the required focal length (in mm) of the camera is _______.

Ques 43 Surveying

What is the CORRECT match between the survey instruments/parts of instruments shown in the table and the operations carried out with them?

Ques 44 Surveying

To finalize the direction of a survey, four surveyors set up a theodolite at a station P and performed all the temporary adjustments. From the station P, each of the surveyors observed the bearing to a tower located at station Q with the same instrument without shifting it. The bearings observed by the surveyors are 30^o30'00", 30^o29'40", 30^o30'20" and 30^o31'20". Assuming that each measurement is taken with equal precision, the most probable value of the bearing is _______.

Ques 45 Surveying

A child walks on a level surface from point P to point Q at a bearing of 30^o, from point Q to point R at a bearing of 90^o and then directly returns to the starting point P at a bearing of 240^o. The straight-line paths PQ and QR are 4 m each. Assuming that all bearings are measured from the magnetic north in degrees, the straight-line path length RP (in meters) is _______. (rounded off to the nearest integer).

Ques 46 Surveying

Differential levelling is carried out from point P (BM: +200.000 m) to point R. The readings taken are given in the table. Reduced Level (in meters) of the point R is _______. (rounded off to 3 decimal places).

Ques 47 Transportation Engineering

The longitudinal sections of a runway have gradients as shown in the table. Consider the reduced level (RL) at the starting point of the runway as 100 m. The effective gradient of the runway is _______.

Ques 48 Transportation Engineering

In general, the outer edge is raised above the inner edge in horizontal curves for _______.

Ques 49 Transportation Engineering

Various stresses in jointed plain concrete pavement slab of size 3.5 m x 4.5 m are denoted as follows:
Wheel load stress at interior = Sⁱ_wl
Wheel load stress at edge = S^e_wl
Wheel load stress at corner = S^c_wl
Warping stress at interior = Sⁱ_t
Warping stress at edge = S^e_t
Warping stress at corner = S^c_t
Frictional stress between slab and supporting layer = S_f
The critical stress combination in the concrete slab during a summer midnight is _______.

Ques 50 Transportation Engineering

The consolidated data of a spot speed study for a certain stretch of a highway is given in the table.

Ques 51 Transportation Engineering

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).

Ques 52 Transportation Engineering

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).