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Civil Engineering, Quantitative Analysis, General Knowledge
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Structural Analysis Questions and Answers
1. The number of independent equations to be satisfied for static equilibrium of a plane structure is
a) 1
b) 2
c) 3
d) 6
Ans: c

2. If there are m unknown member forces, r unknown reaction components and j number of joints, then the degree of static indeterminacy of a pin-jointed plane frame is given by
a) m + r + 2j
b) m - r + 2j
c) m + r - 2j
d) m + r - 3j
Ans: c

3. Number of unknown internal forces in each member of a rigid jointed plane frame is
a) 1
b) 2
c) 3
d) 6
Ans: c

4. Degree of static indeterminacy of a rigid-jointed plane frame having 15 members, 3 reaction components and 14 joints is
a) 2
b) 3
c) 6
d) 8
Ans: c

5. Degree of kinematic indeterminacy of a pin-jointed plane frame is given by
a) 2j - r
b) j - 2r
c) 3j - r
d) 2j + r
Ans: a

6. Independent displacement components at each joint of a rigid-jointed plane frame are
a) three linear movements
b) two linear movements and one rotation
c) one linear movement and two rotations
d) three rotations
Ans: b

7. If in a pin-jointed plane frame (m + r) > 2j, then the frame is
a) stable and statically determinate
b) stable and statically indeterminate
c) unstable
d) none of the above
where m is number of members, r is reaction components and j is number of joints
Ans: b

8. A pin-jointed plane frame is unstable if
a) (m + r)2j
d) none of the above
where m is number of members, r is reaction components and j is number of joints
Ans: a

9. A rigid-jointed plane frame is stable and statically determinate if
a) (m + r) = 2j
b) (m + r) = 3j
c) (3m + r) = 3j
d) (m + 3r) = 3j
where m is number of members, r is reaction components and j is number of joints
Ans: c

10. The number of independent equations to be satisfied for static equilibrium in a space structure is
a) 2
b) 3
c) 4
d) 6
Ans: d

11. The degree of static indeterminacy of a pin-jointed space frame is given by
a) m + r - 2j
b) m + r - 3j
c) 3m + r - 3j
d) m + r + 3j
where m is number of unknown member forces, r is unknown reaction components and j is number of joints
Ans: b

12. The degree of static indeterminacy of a rigid-jointed space frame is
a) m + r - 2j
b) m + r - 3j
c) 3m + r - 3j
d) 6m + r - 6j
where m, r and j have their usual meanings
Ans: d

13. The degree of kinematic indeterminacy of a pin-jointed space frame is
a) 2j-r
b) 3j-r
c) j-2r
d) j-3r
where j is number of joints and r is reaction components
Ans: b

14. The number of independent displacement components at each joint of a rigid-jointed space frame is
a) 1
b) 2
c) 3
d) 6
Ans: d

15. If in a rigid-jointed space frame, (6m + r) < 6j, then the frame is
a) unstable
b) stable and statically determinate
c) stable and statically indeterminate
d) none of the above
Ans: a

16. The principle of virtual work can be applied to elastic system by considering the virtual work of
a) internal forces only
b) external forces only
c) internal as well as external forces
d) none of the above
Ans: c

17. Castigliano's first theorem is applicable
a) for statically determinate structures only
b) when the system behaves elastically
c) only when principle of superposition is valid
d) none of the above
Ans: c

18. Principle of superposition is applicable when
a) deflections are linear functions of applied forces
b) material obeys Hooke's law
c) the action of applied forces will be affected by small deformations of the structure
d) none of the above
Ans: a

19. In moment distribution method, the sum of distribution factors of all the members meeting at any joint is always
a) zero
b) less than 1
c) 1
d) greater than 1
Ans: c

20. The carryover factor in a prismatic member whose far end is fixed is
a) 0
b) 1/2
c) 3/4
d) 1
Ans: b

21. In column analogy method, the area of an analogous column for a fixed beam of span L and flexural rigidity El is taken as
a) L/EI
b) L/2EI
c) L/3EI
d) L/4EI
Ans: a

22. The degree of static indeterminacy up to which column analogy method can be used is
a) 2
b) 3
c) 4
d) unrestricted
Ans: b

23. The deflection at any point of a perfect frame can be obtained by applying a unit load at the joint in
a) vertical direction
b) horizontal direction
c) inclined direction
d) the direction in which the deflection is required
Ans: d

24. In the slope deflection equations, the deformations are considered to be caused by
i) bending moment
ii) shear force
iii) axial force
The correct answer is
a) only (i)
b) (i)and(ii)
c) (ii) and (iii)
d) (i), (ii) and (iii)
Ans: a

25. The three moments equation is applicable only when
a) the beam is prismatic
b) there is no settlement of supports
c) there is no discontinuity such as hinges within the span
d) the spans are equal
Ans: c

26. While using three moments equation, a fixed end of a continuous beam is replaced by an additional span of
a) zero length
b) infinite length
c) zero moment of inertia
d) none of the above
Ans: a

27. The Castigliano's second theorem can be used to compute deflections
a) in statically determinate structures only
b) for any type of structure
c) at the point under the load only
d) for beams and frames only
Ans: b

28. Bending moment at any section in a conjugate beam gives in the actual beam
a) slope
b) curvature
c) deflection
d) bending moment
Ans: c

29. For a two-hinged arch, if one of the supports settles down vertically, then the horizontal thrust
a) is increased
b) is decreased
c) remains unchanged
d) becomes zero
Ans: c

30. For a symmetrical two hinged parabolic arch, if one of the supports settles horizontally, then the horizontal thrust
a) is increased
b) is decreased
c) remains unchanged
d) becomes zero
Ans: b

31. A single rolling load of 8 kN rolls along a girder of 15 m span. The absolute maximum bending moment will be
a) 8 kN.m
b) 15 kN.m
c) 30 kN.m
d) 60 kN.m
Ans: c

32. The maximum bending moment due to a train of wheel loads on a simply supported girder
a) always occurs at centre of span
b) always occurs under a wheel load
c) never occurs under a wheel load
d) none of the above
Ans: b

33. When a uniformly distributed load, longer than the span of the girder, moves from left to right, then the maximum bending moment at mid section of span occurs when the uniformly distributed load occupies
a) less than the left half span
b) whole of left half span
c) more than the left half span
d) whole span
Ans: d

34. When a uniformly distributed load, shorter than the span of the girder, moves from left to right, then the conditions for maximum bending moment at a section is that
a) the head of the load reaches the section
b) the tail of the load reaches the section
c) the load position should be such that the section divides it equally on both sides
d) the load position should be such that the section divides the load in the same ratio as it divides the span
Ans: d

35. When a series of wheel loads crosses a simply supported girder, the maximum bending moment under any given wheel
a) the centre of gravity of the load system is midway between the centre of span and wheel load under consi-deration
b) the centre of span is midway between the centre of gravity of the load system and the wheel load under consideration
c) the wheel load under consideration is midway between the centre of span and the centre of gravity of the load system
d) none of the above
Ans: b

36. Which of the following is not the displacement method ?
a) Equilibrium method
b) Column analogy method
c) Moment distribution method
d) Kani's method
Ans: b

37. Study the following statements.
i) The displacement method is more useful when degree of kinematic indeterminacy is greater than the degree of static indeterminacy.
ii) The displacement method is more useful when degree of kinematic indeterminacy is less than the degree of static indeterminacy.
iii) The force method is more useful when degree of static indeterminacy is greater than the degree of kinematic indeterminacy.
iv) The force method is more useful when degree of static indeterminacy is less than th

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