The point where the road alignment changes from a tangent to a curve is known as ___________.
The bank of a canal has the profile shown in the figure. The material is a homogeneous clay with a bulk unit weight of 20 kN/m\(^3\), undrained cohesion of 30 kPa and is fully saturated (\( \phi = 0 \)). For the trial slip circle shown, the area ABCDEA is 150 m\(^2\) and the centroid is at P. A tension crack (DE) of 2.5 m deep was also observed. Assume unit weight of water is 9.81 kN/m\(^3\) and consider 1 m run of the bank for the analysis.
Considering the canal is empty and the tension crack is completely filled with water, the factor of safety against slope failure of the bank is ......... (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).