A 4 x 4 group pile, with each pile 20 m long and 500 mm in diameter, is installed in a square pattern in a clayey soil, as shown in the figure. The average unconfined compressive strength of the soil is 100 kN/m\(^2\), and the adhesion factor is 0.8. Neglect the bearing at the tip of the piles. For a group efficiency factor of 1.0, the centre to centre spacing(s) of the piles (in m) would be ......... (round off to two decimal places).
For a partially saturated soil deposit at a construction site, water content (\(w\)) is 15%, degree of saturation (\(S\)) is 67%, void ratio (\(e\)) is 0.6 and specific gravity of solids in the soil (\(G_s\)) is 2.67. Consider unit weight of water as 9.81 kN/m\(^3\).
To fully saturate 5 m\(^3\) of this soil, the required weight of water (in kN) will be __________ (round off to the nearest integer).
From a flow-net diagram drawn under a concrete dam, the following information is obtained:
(i) The head difference between upstream and downstream side of the dam is 9 m.
(ii) The total number of equipotential drops between upstream and downstream side of the dam is 10.
(iii) The length of the field nearest to the toe of the dam on the downstream side is 1 m.
If the soil below the dam is having a saturated unit weight of 21 kN/m\(^3\) and the unit weight of water is 9.81 kN/m\(^3\), then the factor of safety against the quick condition will be __________ (round off to two decimal places).
In levelling between two points A and B on the opposite banks of a river, the readings are taken by setting the instrument both at A and B, as shown in the table. If the RL of A is 150.000 m, the RL of B (in m) is ....... (rounded off to 3 decimal places).
A one-way, single lane road has traffic that consists of 30% trucks and 70% cars. The speed of trucks (in km/h) is a uniform random variable on the interval (30, 60), and the speed of cars (in km/h) is a uniform random variable on the interval (40, 80). The speed limit on the road is 50 km/h. The percentage of vehicles that exceed the speed limit is ........ (rounded off to 1 decimal place).