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 DExplaination / Solution: No Explaination.
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 DExplaination / Solution: No Explaination.
Q6.Consider the following statement about the linear dependence of the real valued functions y1 =
1, y2 = x and y3 = x2, over the field of real numbers.
I. y1, y2 and y3 are linearly independent on -1 ≤ x ≤ 0
II. y1, y2 and y3 are linearly dependent on 0 ≤ x ≤ 1
III. y1, y2 and y3 are linearly independent on 0 ≤ x ≤ 1
IV. y1, y2 and y3 are linearly dependent on -1 ≤ x ≤ 0
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 BExplaination / Solution: No Explaination.
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 BExplaination / Solution: No Explaination.