Civil Engineering - Online Test
Q1. 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.
In addition, the beam is subjected to a torque whose factored value is 10.90 kNm.
The stirrups have to be provided to carry a shear (kN) equal to
Answer : Option C
Explaination / Solution:
No Explaination.
Q2. A periodic signal x(t) has a trigonometric Fourier series expansion 
If 
we can conclude that
we can conclude that
Answer : Option A
Explaination / Solution:
If x(t) = -x(-t) the given periodic signal is odd symmetric. For an odd symmetric signal an = 0 for all n.
If x(t) = -x(t- π/𝜔0), π/𝜔0 = T0/2 where T0 is fundamental period then the given condition satisfies half-wave symmetry.
For half-wave symmetrical signal all coefficients an and bn are zero for even value of n.
Q3. A mild steel specimen is under uniaxial tensile stress. Young’s modulus and yield
stress for mild steel are 2 × 105 MPa and 250 MPa respectively. The maximum
amount of strain energy per unit volume that can be stored in this specimen
without permanent set is
Answer : Option D
Explaination / Solution:
No Explaination.
Q4. Which one of the following is the general solution of the first order differential equation 
where x, y are real?
where x, y are real?
Answer : Option D
Explaination / Solution:
Q5. Cross-section of a column consisting to two steel strips, each of thickness t and
width b is shown in the figure below. The critical loads of the column with perfect
bond and without bond between the strips are P and P0 respectively. The ratio
P/P0 is
Answer : Option B
Explaination / Solution:
No Explaination.
Q6. Let 
for real x. From among the following, choose the Taylor series approximation of f(x) around x = 0, which included all powers of x less than or equal to 3.
for real x. From among the following, choose the Taylor series approximation of f(x) around x = 0, which included all powers of x less than or equal to 3.
Answer : Option C
Explaination / Solution:
Q7. Suppose A and B are two independent events with probabilities P(A) ≠ 0 and P(B) ≠ 0. Let 
and 
be their complements. Which one of the following statements is FALSE?
and be their complements. Which one of the following statements is FALSE?
Answer : Option C
Explaination / Solution:
A and B are two independent events with probabilities, P(A) ≠ 0 and P(B) ≠ 0
True
True
False
True
Now, we check the given options.
True True False True
Q8. The maximum shear stress in a solid shaft of circular cross-section having diameter
d subjected to a subject to a torque T is τ. If the torque is increased by four
times and the diameter of the shaft is increased by two times, the maximum shear
stress in the shaft will be
Answer : Option C
Explaination / Solution:
No Explaination.
Q9. Let z = x + iy be a complex variable. Consider that contour integration is performed along the unit circle in anticlockwise direction. Which one of the following statements is NOT TRUE?
Answer : Option D
Explaination / Solution:
No Explaination.
Q10. A vertical rod PQ of length L is fixed at its top end P and has a flange fixed to
the bottom end Q. A weight W is dropped vertically from a height h(< L) on to
the flange. The axial stress in the rod can be reduced by
Answer : Option A
Explaination / Solution:
No Explaination.
