Civil Engineering - Online Test
Q1. The value of W that results in the collapse of the beam shown in the adjoining figure and having a plastic moment capacity of
Mp is
Answer : Option D
Explaination / Solution:
No Explaination.
Q2. 
Answer : Option C
Explaination / Solution:
We have
Q3. For the cantilever bracket, PQRS, loaded as shown in the adjoining figure (PQ = RS = L, and, QR = 2L), which of the following statements is FALSE?
Answer : Option B
Explaination / Solution:
No Explaination.
Q4. Consider the system
where p and q are arbitrary real numbers. Which of the following statements about the controllability of the system is true ?
Answer : Option C
Explaination / Solution:
Since S is singular, system is completely uncontrollable for all values of p and q .
Q5. Consider a bar of diameter ‘D’ embedded in a large concrete block as shown in the adjoining figure, with a pull out force P being applied. Let 
and 
be the bond strength (between the bar and concrete) and the tensile strength of the bar, respectively. If the block is held in position and it is assumed that the material of the block does not fail, which of the following options represents the maximum value of P?
and be the bond strength (between the bar and concrete) and the tensile strength of the bar, respectively. If the block is held in position and it is assumed that the material of the block does not fail, which of the following options represents the maximum value of P?
Answer : Option C
Explaination / Solution:
No Explaination.
Q6. Consider two independent random variables X and Y with identical distributions. The variables X and Y take values 0, 1 and 2 with probabilities 1/2,1/4 and 1/4 respectively. What is the conditional probability P(X + Y = 2 X - Y = 0) ?
Answer : Option C
Explaination / Solution:
We have
Q7. A column is supported on a footing as shown in the figure below. The water table
is at a depth of 10 m below the base of the footing
The net ultimate bearing capacity (kN/m2) of the footing based on Terzaghi’s
bearing capacity equation is
Answer : Option C
Explaination / Solution:
No Explaination.
Q8. The Taylor series expansion of 
is given by
is given by
Answer : Option D
Explaination / Solution:
Q9. A column is supported on a footing as shown in the figure below. The water table
is at a depth of 10 m below the base of the footing
The safe load (kN) that the footing can carry with a factor of safety 3 is
Answer : Option C
Explaination / Solution:
No Explaination.
Q10. Given that F(s) is the one-side Laplace transform of f (t), the Laplace transform 
Answer : Option B
Explaination / Solution:
By property of unilateral laplace transform
