Q. The probability density function of a continuous random variable distributed uniformly between x and y (for y > x) is Ans: 1/y-x Solution: Probability density function of a uniformly distributed random variable.
Q. Construction of a new building founded on a clayey soil was completed in January 2010. In January 2014, the average consolidation settlement of the foundation in clay was recorded as 10 mm. The ultimate consolidation settlement was estimated in design as 40 mm. Considering double drainage to occur at the clayey soil site, the
Q. The command area of a canal grows only one crop, i.e., wheat. The base period of wheat is 120 days and its total water requirement, Δ, is 40 cm. If the canal discharge is 2 m3/s, the area, in hectares, rounded off to the nearest integer, which could be irrigated (neglecting all losses) is
Q. A vehicle is moving on a road of grade +4% at a speed of 20 m/s. Consider the coefficient of rolling friction as 0.46 and acceleration due to gravity as 10 m/s2. On applying brakes to reach a speed of 10 m/s, the required braking distance (in m, round off to nearest integer) along
Q. The characteristic compressive strength of concrete required in a project is 25 MPa and the standard deviation in the observed compressive strength expected at site is 4 MPa. The average compressive strength of cubes tested at different water-cement (w/c) ratios using the same material as is used for the project is given in the
Q. The degree of static indeterminacy of the plane frame as shown in the figure is Solution: (Total R’ = 2) Ds=3C−R′ C=6 Ds=(3×6−2)−1(due to hinge) =15
The degree of static indeterminacy of the plane frame as shown in the figure is Read More »
Q. The value of the function f(x) is given at n distinct values of x and its value is to be interpolated at the point x*, using all the n points. The estimate is obtained first by the Lagrange polynomial, denoted by IL, and then by the Newton polynomial, denoted by IN. Which one of
Q. The notation “SC” as per Indian Standard Soil Classification System refers to (A) Sandy clay (B) Silty clay (C) Clayey silt (D) Clayey sand Ans:Clayey sand Solution: In the Indian Standard Soil Classification System, “SC” is used to denote soils that are clayey silt in nature. This means the soil contains a significant proportion
The notation “SC” as per Indian Standard Soil Classification System refers to Read More »
Q. An inflow hydrograph is routed through a reservoir to produce an outflow hydrograph. The peak flow of the inflow hydrograph is PI and the time of occurrence of the peak is tI. The peak flow of the outflow hydrograph is PO and the time of occurrence of the peak is tO. Which one of
Q. The velocity field in a flow system is given by 𝑣 = 2𝐢 + (𝑥 + 𝑦)𝐣 + (𝑥𝑦𝑧)𝐤. The acceleration of the fluid at (1, 1, 2) is (A) 2𝐢 + 10𝐤 (B) 4𝐢 + 12𝐤 (C) 𝐣 + 𝐤 (D) 4𝐣 + 10𝐤 Ans: 4𝐣 + 10𝐤 Solution:
