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theory of structures MCQs

Practise focused theory of structures questions with marked answers for exam preparation and subject revision.

theory of structures Mcqs
1. Pick up the correct statement from the following?
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A. Volumetric change in the cylinder due to liquid is (pd/2tE) (5/2 2/m)

B. All the above

C. Longitudinal strain in the walls of a cylinder due to liquid is (pd/2 tE) (1/2 1/m)

D. Hoop strain of the walls of a cylinder due to liquid is (pd/2tE) (1 1/2m)

2. If a concrete column 200 200 mm in cross-section is reinforced with four steel bars of 1200 mm2 total cross-sectional area. Calculate the safe load for the column if permissible stress in concrete is 5 N/mm2 and Es is 15 Ec________________?
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A. 264 MN

B. 274 MN

C. 284 MN

D. 294 MN

3. If E, N, K and 1/m are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good_______________?
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A. E = 2N (1 + 1/m)

B. (3/2)K (1 2/m) = N (1 + 1/m)

C. All the above

D. E = 3K (1 2/m)

4. A simply supported rolled steel joist 8 m long carries a uniformly distributed load over it span so that the maximum bending stress is 75 N/mm. If the slope at the ends is 0.005 radian and the value of E = 0.2 106 N/mm2, the depth of the joist, is________________?
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A. 200 mm

B. 250 mm

C. 300 mm

D. 400 mm
5. a uniform circular bar of diameter d and length , which extends by an The deflection of amount under a tensile pull , when it carries the same load at its mid-span, is___________________?
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A. el/3d

B. el/3d

C. el/2d

D. el/3d
6. static equations i.e. H V M = 0, to a determinate structure, we may By applying the determine_________________?
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A. All the above

B. Supporting reactions only

C. Bending moments only

D. Shear forces only

7. The equivalent length of a column of length L, having both the ends hinged, is_______________?
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A. L

B. L

C. 2L

D. L/2

8. A body is said to be in equilibrium if___________________?
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A. It moves vertically

B. It rotates about its C.G.

C. It moves horizontally

D. None of these
9. Shear strain energy theory for the failure of a material at elastic limit, is due to_________________?
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A. Guest or Trecas

B. St. Venant

C. Von Mises

D. Rankine

10. The S.F. diagram of a loaded beam shown in the given figure is that of________________?
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A. A simply supported beam with uniformly distributed load

B. A simply supported beam with isolated central load

C. A cantilever with a uniformly distributed load

D. A cantilever with an isolated load at the free end

11. The forces acting normally on the cross section of a bar shown in the given figure introduce_____________?
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A. Compressive stress

B. None of these

C. Tensile stress

D. Shear stress

12. In the truss shown in the given figure, the force in member BC is______________?
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A. 100 t compressive

B. Indeterminate

C. 100 t tensile

D. Zero
13. cross sections of bronze and copper bars of equal lengt b c are their Ab and Ac are the respective stresses due to load P. If Pb and Pc are the loads shared by them, (where Eb and Ec are their modulii)____________________?
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A. b c = Eb /Ec

B. P = Pb + Pc

C. P = Ab b + Ac b

D. All the above
14. A material is said to be perfectly elastic if__________________?
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A. None of these

B. It regains its original shape partially on removal of the load

C. It does not regain its original shape at all

D. It regains its original shape on removal of the load
15. Pick up the correct statement from the following?
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A. All the above

B. For a load varying linearly, the shear force curve is a parabola

C. For a uniformly distributed load, B.M. curve is a parabola

D. For a uniformly distributed load, the shear force varies linearly

16. The force in BC of the truss shown in the given figure, is___________________?
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A. 3.0 t tension

B. 3.0 t compression

C. t compression

D. t tension
17. The ratio of the length and diameter of a simply supported uniform circular beam which experiences maximum bending stress equal to tensile stress due to same load at its mid span, is___________________?
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A. 4-Jan

B. 1/2

C. 8-Jan

D. 3-Jan

18. The radius of gyration of a rectangular section (depth D, width B) from a centroidal axis parallel to the width is__________________?
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A. D/2

B. D

C. D

D. D

19. A simply supported beam carries varying load from zero at one end and w at the other end. If the length of the beam is a, the maximum bending moment will be_______________?
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A. wa

B. wa/27

C. wa

D. wa/27

20. The locus of the end point of the resultant of the normal and tangential components of the stress on an inclined plane, is________________?
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A. Straight line

B. Circle

C. Ellipse

D. Parabola

21. Pick up the correct statement from the following?
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A. All the above

B. Mcg = M M2 + r2) where letters carry their usual meanings

C. The torque which when acting alone would produce maximum shear stress equal to the maximum shear stress caused by the combined bending and torsion, is called equivalent torque

D. Tcp = m2 + T2)where letters carry their usual meanings

22. constant, depth of a cantilever of length of uniform strength loaded with Keeping breadth uniformly distributed load varies from zero at the free end and________________?
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A. 3w l at the fixed end

B. 2w w l at the fixed end

C. l) at the fixed end

D. w l) at the fixed end

23. If and are external and internal diameters of a circular shaft respectively, its polar moment of inertia, is________________?
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A. D4 d4)

B. D4 d4)

C. D4 d4)

D. D4 d4)

24. An isolated load W is acting at a distance a from the left hand support, of a three hinged arch of span 2l and rise h hinged at the crown, the horizontal reaction at the support, is_________________?
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A. 2W/ha

B. Wa/2h

C. Wa/h

D. 2h/Wa

25. Total strain energy theory for the failure of a material at elastic limit, is known_________________?
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A. St. Venants theory

B. Haigs theory

C. Guests or Trecas theory

D. Rankines theory

26. The maximum deflection due to a load W at the free end of a cantilever of length L and having flexural rigidity EI, is_____________?
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A. WL/2EI

27. The equivalent length is of a column of length having both the ends fixed, is_________________?
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A. L

B. L

C. 2 L

D. L/2
28. The ratio of maximum and average shear stresses on a rectangular section, is________________?
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A. 1

B. 2.5

C. 1.5

D. 1.25

29. The maximum deflection of a simply supported beam of span L, carrying an isolated load at the centre of the span; flexural rigidity being EI, is______________?
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A. WL3/24EL

B. WL3/8EL

C. WL3/3EL

D. WL3/48EL
30. Beams composed of more than one material, rigidly connected together so as to behave as one piece, are known as________________?
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A. Composite beams

B. Indeterminate beams

C. Determinate beams

D. Compound beams

31. Pick up the correct statement from the following?
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A. The pitch of a close coil spring, is very small

B. A wire wound in spiral form, is called a helical spring

C. All the above

D. The angle made by the coil with horizontal, is called the angle of helix

32. The general expression for the B.M. of a beam of length l is the beam carries M = (wl/2) x (wx/2)_______________?
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A. A load varying linearly from zero at one end to w at the other end

B. An isolated load at mid span

C. A uniformly distributed load w/unit length

D. None of these

33. The locus of reaction of a two hinged semi-circular arch, is_________________?
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A. Straight line

B. Parabola

C. Hyperbola

D. Circle

34. A shaft rotating N.R.M. under a torque T, transmits a power_______________?
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A. /60 Newton metres/sec

B. /30 Newton metres/sec

C. /60 Newton metres/min

D. /30 Newton metres/min

35. Maximum strain theory for the failure of a material at the elastic limit, is known as_______________?
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A. Rankines theory

B. Guests or Trecas theory

C. Haigs theory

D. St. Venants theory
36. inertia of a rectangular section of width and depth about an axis passing The moment of through C.G. and parallel to its width is_______________?
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A. BD3/12

B. BD/6

C. BD3/6

D. BD/6

37. The ratio of lateral strain to axial strain of a homogeneous material, is known___________________?
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A. Poissons ratio

B. Plastic ratio

C. Hookes ratio

D. Yield ratio

38. The locus of the moment of inertia about inclined axes to the principal axis, is______________?
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A. Ellipse

B. Parabola

C. Circle

D. Straight line

39. Co-efficient of wind resistance of a circular surface, is________________?
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A. 2-Jan

B. 2-Mar

C. 3-Jan

D. 2/3
40. To determine the force in BD of the truss shown in the given figure a section is passed through BD, CD and CE, and the moments are taken about________________?
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A. C joint

B. A joint

C. D joint

D. B joint

41. For determining the force in the member AB of the truss shown in the given figure by method of sections, the section is made to pass through AB, AD and ED and the moments are taken about___________________?
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A. Joint B

B. Joint C

C. Joint A

D. Joint D
42. The maximum deflection due to a uniformly distributed load w/unit length over entire span of a cantilever of length l and of flexural rigidly EI, is_________________?
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A. wl3/3EI

B. wl4/12EI

C. wl4/8EI

D. wl4/3EI

43. A two hinged parabolic arch of span l and rise h carries a load varying from zero at the left end to________________?
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A. /8h

B. /4h thrust is

C. /12h

D. /16h
44. A square column carries a load P at the centroid of one of the quarters of the square. If a is the side of the main square, the combined bending stress will be________________?
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A. p/a

B. 3p/a

C. 2p/a

D. 4p/a

45. The shape factor of standard rolled beam section varies from_______________?
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A. 1.30 to 1.40

B. 1.20 to 1.30

C. 1.40 to 1.50

D. 1.10 to 1.20
46. There are two hinged semicircular arches A, B and C of radii 5 m, 7.5 m and 10 m respectively and each carries a concentrated load W at their crowns. The horizontal thrust at their supports will be in the ratio of_______________?
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A. 2 : 1 : 1

B. None of these

C. 1 : 1 : 2

D. 1 : 1 : 2

47. For calculating the permissible stress 0 y /[(1 + a(l/r)] is the empirical formula, known as__________________?
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A. Parabolic formula

B. Rankines formula

C. Perrys formula

D. Straight line formula

48. A steel bar 20 mm in diameter simply-supported at its ends over a total span of 40 cm carries a load at its centre. If the maximum stress induced in the bar is limited to N/mm2, the bending strain energy stored in the bar, is___________________?
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A. 711 N mm

B. 411 N mm

C. 611 N mm

D. 511 N mm=

49. The moment of inertia of a circular section about any diameter D, is______________?
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A. 4/64

B. /64

C. Mar-64

D. Apr-32

50. For the close coil helical spring of the maximum deflection is__________________?
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A. WD3n/d4N

B. 8WD3n/d4N

C. 2WD3n/d4N

D. 4WD3n/d4N