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structural analysis MCQs

Practise focused structural analysis questions with marked answers for exam preparation and subject revision.

structural analysis Mcqs
1. The degree of kinematic indeterminacy of a pin-jointed space frame is_____________?
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A. re j is number of joints and r is reaction components

B. 2j-r

C. j-3r

D. j-2r

E. 3j-r
2. In column analogy method, the area of an analogous column for a fixed beam of span L and flexural rigidity El is taken as__________________?
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A. L/3EI

B. L/2EI

C. L/4EI

D. L/EI
3. Which of the following methods of structural analysis is a force method ?
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A. none of the above

B. column analogy method

C. moment distribution method

D. slope deflection method

4. The deflection at any point of a perfect frame can be obtained by applying a unit load at the joint in_________________?
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A. inclined direction

B. the direction in which the deflection is required

C. vertical direction

D. horizontal direction

5. Select the correct statement?
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A. Flexibility matrix is a square symmetrical matrix

B. Stiffness matrix is a square symmetrical matrix

C. both A. and B.

D. none of the above

6. 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___________________?
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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
7. Castiglianos first theorem is applicable_______________?
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A. for statically determinate structures only

B. only when principle of superposition is valid

C. when the system behaves elastically

D. none of the above

8. The degree of static indeterminacy of a rigid-jointed space frame is_________________?
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A. 3m + r 3j

B. m + r 2j

C. 6m + r 6j

D. m + r 3j

E. re m, r and j have their usual meanings

9. For a single point load W moving on a symmetrical three hinged parabolic arch of span L, the maximum sagging moment occurs at a distance x from ends. The value of x is__________________?
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A. 0.25 L

B. 0.234 L

C. 0.5 L

D. 0.211 L
10. If in a pin-jointed plane frame (m + r) > 2j, then the frame is________________?
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A. none of the above

B. unstable

C. stable and statically determinate

D. re m is number of members, r is reaction components and j is number of joints

E. stable and statically indeterminate
11. Bending moment at any section in a conjugate beam gives in the actual beam_________________?
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A. deflection

B. slope

C. bending moment

D. curvature

12. The width of the analogous column in the method of column analogy is _________________?
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A. 2/EI

B. 1/EI

C. 1/4 EI

D. 1/2 EI

13. The deformation of a spring produced by a unit load is called _________________?
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A. flexibility

B. unit strain

C. influence coefficient

D. stiffness

14. When a series of wheel loads crosses a simply supported girder, the maximum bending moment under any given wheel load occurs when________________?
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A. none of the above

B. the wheel load under consideration is midway between the centre of span and the centre of gravity of the load system

C. the centre of gravity of the load system is midway between the centre of span and wheel load under consi-deration

D. the centre of span is midway between the centre of gravity of the load system and the wheel load under consideration
15. 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_______________?
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A. more than the left half span

B. whole of left half span

C. whole span

D. less than the left half span

16. The number of independent equations to be satisfied for static equilibrium in a space structure is___________________?
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A. 6

B. 2

C. 3

D. 4

17. While using three moments equation, a fixed end of a continuous beam is replaced by an additional span of__________________?
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A. infinite length

B. none of the above

C. zero moment of inertia

D. zero length
18. In moment distribution method, the sum of distribution factors of all the members meeting at any joint is always__________________?
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A. 1

B. less than 1

C. greater than 1

D. zero

19. The carryover factor in a prismatic member whose far end is fixed is___________________?
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A. 4-Mar

B. 1

C. 1/2

D. 0

20. In the slope deflection equations, the deformations are considered to be caused by________________?
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A. correct answer is

B. shear force

C. ) axial force</strong>

D. bending moment
21. A load W is moving from left to right support on a simply supported beam of span T. The maximum bending moment at 0.4 1 from the left support is___________________?
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A. 0.20 Wl

B. 0.24 Wl

C. 0.25 Wl

D. 0.16 Wl

22. The number of independent displacement components at each joint of a rigid-jointed space frame is_______________?
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A. 6

B. 1

C. 3

D. 2

23. When a load crosses a through type Pratt truss in the direction left to right, the nature of force in any diagonal member in the left half of the span would_______________?
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A. change from tension to compression

B. always be compression

C. always be tension

D. change from compression to tension
24. If in a rigid-jointed space frame, (6m + r) < 6j, then the frame is_______________?
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A. none of the above

B. stable and statically determinate

C. stable and statically indeterminate

D. unstable
25. 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__________________?
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A. m + r + 2j

B. m + r 2j

C. m + r 3j

D. m r + 2j

26. The principle of virtual work can be applied to elastic system by considering the virtual work of_________________?
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A. none of the above

B. internal forces only

C. internal as well as external forces

D. external forces only

27. The degree of static indeterminacy up to which column analogy method can be used is__________________?
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A. 2

B. 3

C. unrestricted

D. 4

28. Principle of superposition is applicable when___________________?
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A. deflections are linear functions of applied forces

B. the action of applied forces will be affected by small deformations of the structure

C. material obeys Hookes law

D. none of the above

29. For a two-hinged arch, if one of the supports settles down vertically, then the horizontal thrust______________?
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A. is decreased

B. becomes zero

C. remains unchanged

D. is increased

30. A single rolling load of 8 kN rolls along a girder of 15 m span. The absolute maximum bending moment will be________________?
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A. 8 kN.m

B. 15 kN.m

C. 30 kN.m

D. 60 kN.m

31. For a symmetrical two hinged parabolic arch, if one of the supports settles horizontally, then the horizontal thrust__________________?
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A. is increased

B. becomes zero

C. remains unchanged

D. is decreased
32. Effects of shear force and axial force on plastic moment capacity of a structure are respectively to_________________?
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A. decrease and decrease

B. increase and increase

C. decrease and increase

D. increase and decrease

33. A simply supported beam deflects by 5 mm when it is subjected to a concentrated load of 10 kN at its centre. What will be deflection in a 1/10 model of the beam if the model is subjected to a 1 kN load at its centre ?
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A. 5 mm

B. 0.5 mm

C. 0.05 mm

D. 0.005mm

34. Muller Breslaus principle for obtaining influence lines is applicable to___________________?
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A. statically determinate beams and frames

B. any statically indeterminate structure</strong>

C. ) statically indeterminate structures, the material of which is elastic and follows Hookes law

D. trusses
35. Which of the following is not the displacement method ?
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A. Column analogy method

B. Equilibrium method

C. Kanis method

D. Moment distribution method

36. A rigid-jointed plane frame is stable and statically determinate if_______________?
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A. re m is number of members, r is reaction components and j is number of joints

B. (3m + r) = 3j

C. (m + r) = 3j

D. (m + 3r) = 3j

E. (m + r) = 2j

37. A pin-jointed plane frame is unstable if________________?
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A. m + r = 2j

B. (m + r)

C. (m + r)>2j

D. none of the above

38. Number of unknown internal forces in each member of a rigid jointed plane frame is_____________?
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A. 1

B. 3

C. 2

D. 6

39. Which of the following methods of structural analysis is a displacement method ?
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A. none of the above

B. moment distribution method

C. three moment equation

D. column analogy method

40. The Castiglianos second theorem can be used to compute deflections________________?
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A. in statically determinate structures only

B. at the point under the load only

C. for beams and frames only

D. for any type of structure
41. Degree of kinematic indeterminacy of a pin-jointed plane frame is given by______________?
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A. 2j r

B. j 2r

C. 2j + r

D. 3j r

42. The number of independent equations to be satisfied for static equilibrium of a plane structure is__________________?
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A. 1

B. 6

C. 3

D. 2

43. The three moments equation is applicable only when___________________?
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A. the spans are equal

B. there is no discontinuity such as hinges within the span

C. there is no settlement of supports

D. the beam is prismatic

44. Sinking of an intermediate support of a continuous beam________________?
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A. sider the following statements

45. The maximum bending moment due to a train of wheel loads on a simply supported girder_________________?
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A. always occurs at centre of span

B. always occurs under a wheel load

C. none of the above

D. never occurs under a wheel load

46. To generate the j the column of the flexibility matrix________________?
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A. a unit displacement is applied at co-ordinate j and the forces are calculated at all coordinates

B. a unit displacement is applied at co-ordinate j and the displacements are calculated at all co-ordinates

C. a unit force is applied at coordinate j and the forces are calculated at all coordinates

D. a unit force is applied at coordinate j and the displacements are calculated at all coordinates
47. Independent displacement components at each joint of a rigid-jointed plane frame are_________________?
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A. one linear movement and two rotations

B. three linear movements

C. three rotations

D. two linear movements and one rotation
48. In the displacement method of structural analysis, the basic unknowns are__________________?
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A. displacements

B. none of the above

C. force

D. displacements and forces

49. Degree of static indeterminacy of a rigid-jointed plane frame having 15 members, 3 reaction components and 14 joints is__________________?
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A. 8

B. 6

C. 3

D. 2

50. The degree of static indeterminacy of a pin-jointed space frame is given by_________________?
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A. m + r + 3j

B. m + r 2j

C. m + r 3j

D. 3m + r 3j