Civil Engineering - Theory of Structures MCQs Part 2

1. By applying the static equations i.e. ΣH = 0, ΣV = 0 and ΣM = 0, to a determinate structure, we may determine

A.
supporting reactions only
B.
shear forces only
C.
bending moments only
D.
internal forces only
E.
all the above.

2. The general expression for the B.M. of a beam of length l is the beam carries

A.
a uniformly distributed load w/unit length
B.
a load varying linearly from zero at one end to w at the other end
C.
an isolated load at mid span
D.
none of these.

3. 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

A.
B.
C.
D.
E.
1.0

4. If a solid shaft (diameter 20 cm, length 400 cm, N = 0.8 x 105 N/mm2) when subjected to a twisting moment, produces maximum shear stress of 50 N/mm2, the angle of twist in radians, is

A.
0.001
B.
0.002
C.
0.0025
D.
0.003
E.
0.005

5. The maximum B.M. due to an isolated load in a three hinged parabolic arch, (span l, rise h) having one of its hinges at the crown, occurs on either side of the crown at a distance

A.
B.
C.
D.

6. The vertical reaction for the arch is

A.
B.
C.
D.

7. A bar of square section of area a2 is held such that its one of its diagonals is vertical. The maximum shear stress will develop at a depth h where h is

A.
B.
C.
D.

8. The equivalent length of a column of length L, having both the ends hinged, is

A. 2L
B. L
C.
D.

9. A steel rod of sectional area 250 sq. mm connects two parallel walls 5 m apart. The nuts at the ends were tightened when the rod was heated to 100°C. If αsteel = 0.000012/C°, Esteel = 0.2 MN/mm2, the tensile force developed at a temperature of 50°C, is

A. 80 N/mm2
B. 100 N/mm2
C. 120 N/mm2
D. 150 N/mm2

10. The ratio of circumferential stress to the longitudinal stress in the walls of a cylindrical shell, due to flowing liquid, is

A.
B. 1
C.
D. 2

11. The strain energy stored in a spring when subjected to greatest load without being permanently distorted, is called

A. stiffness
B. proof resilience
C. proof stress

12. If a three hinged parabolic arch, (span l, rise h) is carrying a uniformly distributed load w/unit length over the entire span,

A. horizontal thrust is wl2/8h
B. S.F. will be zero throughout
C. B.M. will be zero throughout
D. all the above.

13. Co-efficient of wind resistance of a circular surface, is

A.
B.
C.
D.

14. Pick up the correct statement from the following:

A. For a uniformly distributed load, the shear force varies linearly
B. For a uniformly distributed load, B.M. curve is a parabola
C. For a load varying linearly, the shear force curve is a parabola
D. For a load varying linearly, the B.M. curve is a cubic parabola
E. All the above.

15. The ratio of moments of inertia of a triangular section about its base and about a centroidal axis parallel to its base, is

A. 1.0
B. 1.5
C. 2.0
D. 2.5
E. 3.0

16. The ratio of shear stress and shear strain of an elastic material, is

A. Modulus of Rigidity
B. Shear Modulus
C. Young's Modulus
D. Modulus of Elasticity
E. both (a) and (b).

17. The ratio of the maximum deflections of a simply supported beam with a central load W and of a cantilever of same length and with a load W at its free end, is

A.
B.
C.
D.
E.

18. The greatest load which a spring can carry without getting permanently distorted, is called

A. stiffness
B. prof resilience
C. proof stress

19. The horizontal deflection of a parabolic curved beam of span 10 m and rise 3 m when loaded with a uniformly distributed load l t per horizontal length, is (where Ic is the M.I. at the crown, which varies as the slope of the arch).

A.
B.
C.
D.
E.

20. A three hinged arch is generally hinged at its supports and

A. at one quarter span
B. at the crown
C. any where in the rib
D. none of these.

21. For permissible shear stress fs, the torque transmitted by a thin tube of mean diameter D and wall thickness t, is

A.
B.
C. πD2t fs
D.

22. A compound bar consists of two bars of equal length. Steel bar cross-section is 3500 mm2 and that of brass bar is 3000 mm2. These are subjected to a compressive load 100,000 N. If Eb = 0.2 MN/mm2 and Eb = 0.1 MN/mm2, the stresses developed are:

A. σb = 10 N/mm2, σs = 20 N/mm2
B. σb = 8 N/mm2, σs = 16 N/mm2
C. σb = 6 N/mm2, σs = 12 N/mm2
D. σb = 5 N/mm2, σs = 10 N/mm2

23.  is the equation for Euler's crippling load if

A. both the ends are fixed
B. both the ends are hinged
C. one end is fixed and other end is free
D. one end is fixed and other end is hinged.

24. Flat spiral springs

A. consist of uniform thin strips
B. are supported at outer end
C. are wound by applying a torque
D. are used in clock-work mechanism
E. all the above.

25. A simply supported uniform rectangular bar breadth b, depth d and length L, carries an isolated load W at its mid-span. The same bar experiences an extension e under same tensile load. The ratio of the maximum deflection to the elongation, is

A.
B.
C.
D.

26. A cantilever of length 2 cm and depth 10 cm tapers in plan from a width 24 cm to zero at its free end. If the modulus of elasticity of the material is 0.2 x 106 N/mm2, the deflection of the free end, is

A. 2 mm
B. 3 mm
C. 4 mm
D. 5 mm
E. 6 mm

27. Pick up the correct statement from the following:

A. The bending stress in a section is zero at its neutral axis and maximum at the outer fibres
B. The shear stress is zero at the outer fibres and maximum at the neutral axis
C. The bending stress at the outer fibres, is known as principal stress
D. The planes of principal stresses are inclined at 45° to the neutral plane
E. All the above.

28. 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/mm2. If the slope at the ends is 0.005 radian and the value of E = 0.2 x 106 N/mm2, the depth of the joist, is

A. 200 mm
B. 250 mm
C. 300 mm
D. 350 mm
E. 400 mm

29. 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

A.
B.
C.
D.

30. The degree of indeterminacy of the frame in the given figure, is

A. 1
B. 2
C. 3
D. zero

31. The forces in the members of simple trusses, may be analysed by

A. graphical method
B. method of joints
C. method of sections
D. all the above.

32. A bar l metre long and having its area of cross-section A, is subjected to a gradually applied tensile load W. The strain energy stored in the bar is

A.
B.
C.
D.

33. A rectangular column shown in the given figure carries a load P having eccentricities ex and ev along X and Y axes. The stress at any point (x, y) is

A.
B.
C.
D.

34. A simply supported beam which carries a uniformly distributed load has two equal overhangs. To have maximum B.M. produced in the beam least possible, the ratio of the length of the overhang to the total length of the beam, is

A. 0.207
B. 0.307
C. 0.407
D. 0.508

35.  is the equation of Euler's crippling load, if

A. both the ends are fixed
B. both the ends are hinged
C. one end is fixed and other end is free
D. one end is fixed and other end is hinged.

36. At yield point of a test piece, the material

A. obeys Hooke's law
B. behaves in an elastic manner
C. regains its original shape on removal of the load
D. undergoes plastic deformation.

37. For the close coil helical spring of the maximum deflection is

A.
B.
C.
D.
E.

38. In the truss, the force in the member AC is

A. 6.25 t compressive
B. 8.75 t tentile
C. t tensile
D. t compressive.

39. The moment of inertia of a triangular section (height h, base b) about its base, is

A.
B.
C.
D.

40. A steel bar 5 m x 50 mm is loaded with 250, 000 N. If the modulus of elasticity of the material is 0.2 MN/mm2 and Poisson's ratio is 0.25, the change in the volume of the bar is :

A. 1.125 cm3
B. 2.125 cm3
C. 3.125 cm3
D. 4.125 cm2

41. A road of uniform cross-section A and length L is deformed by δ, when subjected to a normal force P. The Young's Modulus E of the material, is

A.
B.
C.
D.
E.

42. The S.F. diagram of a loaded beam shown in the given figure is that of

A. a simply supported beam with isolated central load
B. a simply supported beam with uniformly distributed load
C. a cantilever with an isolated load at the free end
D. a cantilever with a uniformly distributed load.

43. 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

A.
B.
C.
D.

44. The ratio of lateral strain to axial strain of a homogeneous material, is known

A. Yield ratio
B. Hooke's ratio
C. Poisson's ratio
D. Plastic ratio.

45. For beams of uniform strength, if depth is constant,

A. width b ∝ M
B. width b ∝ M
C. width b ∝ 3 M
D. width b ∝

46. The area of the core of a column of cross sectional area A, is

A.
B.
C.
D.

47. A simply supported beam carries a varying load from zero at one end and w at the other end. If the length of the beam is a, the shear force will be zero at a distance x from least loaded point where x is

A.
B.
C.
D.

48. The locus of reaction of a two hinged semi-circular arch, is

A. straight line
B. parabola
C. circle
D. hyperbola.

49. The ratio of the area of cross-section of a circular section to the area of its core, is

A. 4
B. 8
C. 12
D. 16

50. The yield moment of a cross section is defined as the moment that will just produce the yield stress in

A. the outer most fibre of the section
B. the inner most fibre of the section
C. the neutral fibre of the section
D. the fibre everywhere