For limit state of collapse, the partial safety factors recommended by IS 456 : 2000 for estimating the design strength of concrete and reinforcing steel are respectively-
1.5 and 1.15
This is primarily because concrete is a site-controlled material, and its quality and strength are more susceptible to variations due to factors like mixing, placing, compaction, and curing. Therefore, for estimating the design strength of concrete and reinforcing steel for the limit state of collapse, the partial safety factors recommended by IS 456:2000 are 1.5 and 1.15 respectively.
In the following table, the left column contains the names of standard graph algorithms and the right column contains the time complexities of the algorithms. Here, n and m are number of vertices and edges, respectively. Match each algorithm with its time complexity.
| List I | List II | ||
| Standard graph algorithms | Time complexities | ||
| A. | Bellman‐Ford algorithm | I. | O(m*log n) |
| B. | Kruskal’s algorithm | II. | O(n 3) |
| C. | Floyd‐Warshall algorithm | III. | O(n*m) |
| D. | Topological sorting | IV. | O(n + m) |
Choose the correct answer from the options given below :
How many cards must be selected from a standard deck of 52 cards to guarantee that at least three hearts are present among them?
Match List 1 with List 2 and choose the correct answer from the code given below:
List I (Graph Algorithm) | List II (Time Complexity) |
a) Dijkstra’s algorithm | i) Θ(E log E) |
b) Kruskal’s algorithm | ii) Θ(V 3) |
c) Floyd-Warshall algorithm | iii) Θ(V 2) |
d) Topological sorting | iv) Θ(V + E) |
Where V and E are the number of vertices and edges in graph respectively.
The solution of recurrence relation: T(n)=2T(sqrt(n)) + lg(n) is
Modulus of elasticity of concrete, E is calculated using: