1
GATE CE 2024 Set 1
Numerical
+2
-0

The total primary consolidation settlement ($S_c$) of a building constructed on a 10 m thick saturated clay layer is estimated to be 50 mm. After 300 days of the construction of the building, primary consolidation settlement was reported as 10 mm. The additional time (in days) required to achieve 50% of $S_c$ will be ________________ (rounded off to the nearest integer).

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2
GATE CE 2024 Set 1
Numerical
+2
-0

An infinite slope is made up of cohesionless soil with seepage parallel to and up to the sloping surface. The angle of slope is 30° with respect to the horizontal ground surface. The unit weights of the saturated soil and water are 20 kN/m3 and 10 kN/m3, respectively.

The minimum angle of shearing resistance of the soil (in degrees) for the critically stable condition of the slope is ________________ (rounded off to the nearest integer).

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3
GATE CE 2024 Set 1
Numerical
+2
-0

A soil sample was consolidated at a cell pressure of 20 kPa and a back pressure of 10 kPa for 24 hours during a consolidated undrained (CU) triaxial test. The cell pressure was increased to 30 kPa on the next day and it resulted in the development of pore water pressure of 1 kPa. The soil sample failed when the axial stress was gradually increased to 50 kPa. The pore water pressure at failure was recorded as 21 kPa. The value of Skempton's pore pressure parameter B for the soil sample is ________________ (rounded off to 2 decimal places).

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4
GATE CE 2024 Set 1
Numerical
+2
-0

The ordinates of a 1-hour unit hydrograph (UH) are given below.

Time (hours) 0 1 2 3 4 5
Ordinates of 1-hour UH (m3/s) 0 13 50 80 95 85
Time (hours) 6 7 8 9 10 11
Ordinates of 1-hour UH (m3/s) 55 35 15 10 3 0

These ordinates are used to derive a 3-hour UH. The peak discharge (in m3/s) for the derived 3-hour UH is ___________ (rounded off to the nearest integer).

Your input ____
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