Civil Engineering - Online Test

Q1. A reinforced concrete structure has to be constructed along a sea coast. The minimum grade of concrete to be used as per IS : 456-2000 is
Answer : Option D
Explaination / Solution:
No Explaination.


Q2. Match each differential equation in Group I to its family of solution curves from Group II

Answer : Option B
Explaination / Solution:



Q3. Un-factored maximum bending moment at a section of a reinforced concrete beam resulting form a frame analysis are 50, 80, 120 and 180 kNm under dead, live wind and earthquake loads respectively. The design moment (kNm) as per IS : 456-2000 for the limit state of collapse (flexure) is
Answer : Option D
Explaination / Solution:
No Explaination.


Q4. The Eigen values of following matrix are

Answer : Option D
Explaination / Solution:

Sum of the principal diagonal element of matrix is equal to the sum of Eigen values. Sum of the diagonal element is -1 - 1 + 3 = 1.In only option (D), the sum of Eigen values is 1.

Q5. A reinforced concrete column contains longitudinal steel equal to 1 per cent of net cross-section are of the column. Assume modular ratio as 10. The loads carried (using the elastic theory) by the longitudinal steel and the net area of concrete, are Ps and Pc respectively. The ratio Ps/Pc expressed as per cent is
Answer : Option D
Explaination / Solution:
No Explaination.


Q6. Consider the following statement about the linear dependence of the real valued functions y1  = 1, y= x and y3 = x2over the field of real numbers.
I.   y1, yand y3 are linearly independent on -1 ≤ x ≤ 0
II.  y1, yand y3 are linearly dependent on 0 ≤ x ≤ 1
III. y1, yand y3 are linearly independent on 0 ≤ x ≤ 1
IV. y1, yand y3 are linearly dependent on -1 ≤ x ≤ 0
Which one among the following is correct?
Answer : Option B
Explaination / Solution:



Q7. A pre-tensioned concrete member of section 200mm × 250mm contains tendons of area 500 mm2 at centre of gravity of the section. The prestress in the tendons is 1000 N/mm2. Assuming modular ratio as 10, the stress (N/mm2) is concrete is
Answer : Option B
Explaination / Solution:
No Explaination.


Q8. Consider the 5 × 5 matrix

It is given that A has only one real eigen value. Then the real eigen value of A is
Answer : Option C
Explaination / Solution:




Q9. A reinforced concrete beam of rectangular cross section of breadth 230 mm and effective depth 400 mm is subjected to a maximum factored shear force of 120 kN. The grades of concrete, main steel provided, the design shear strength τc as per IS : 456-2000 is 0.48 N/mm2. The beam is designed for collapse limit state.
The spacing (mm) of 2-legged 8 mm stirrups to be provided is
Answer : Option B
Explaination / Solution:
No Explaination.


Q10. The rank of the matrix M =  is
Answer : Option C
Explaination / Solution: